two small objects of masses 'm' & '2m' each are attaached to the ends of a light rigid rod of length 'L' . the rod is pivoted at a point where centre of mass of the two objects lie. the
96,337 results

physics
two small objects of masses 'm' & '2m' each are attaached to the ends of a light rigid rod of length 'L' . the rod is pivoted at a point where centre of mass of the two objects lie. the moment of inertia of the arrangement about an axis through the centre of mass , ... 
physics mechanics
A light, rigid rod with two masses attached to its ends, one of mass 3M and one of mass M, is pivoted about a horizontal axis. The mass 3M is length L from the pivot point and the mass M is length 2L from the pivot point. When released from a horizontal orientation, the rod ... 
physics
A light, rigid rod l = 5.55 m in length rotates in the xy plane about a pivot through the rod’s center. Two particles of masses m1 = 9.8 kg and m2 = 2.4 kg are connected to its ends find the moment of inertia 
physics
A light, rigid rod l = 5.55 m in length rotates in the xy plane about a pivot through the rod’s center. Two particles of masses m1 = 9.8 kg and m2 = 2.4 kg are connected to its ends. Determine the angular momentum of the system about the origin at the instant the speed of ... 
physics
A light rigid rod 1.00 m in length joins two particles, with masses 4.00 kg and 3.00 kg, at its ends. The combination rotates in the xy plane about a pivot through the center of the rod. Determine the angluar momentum of the system about the origin when the speed of each ... 
Physics
A light, rigid rod 1.039m in length joins two particles with masses 3.65kg and 4.94kg at its ends. The combination rotates in the xy plane about a pivot through the centre of the rod. Determine the angular momentum of the system about the origin when the speed of each particle... 
college student
Two spheres of mass 2 kg and 3 kg are attached to the ends of a light rigid rod of length 1.0 m. What is the moment of inertia of the system about an axis perpendicular to the rod and (i) passes through the centre of the rod (ii) passes through the 2 kg sphere 
Physics
A long thin rod of mass M = 2:00 kg and length L = 75:0 cm is free to rotate about its center as shown. Two identical masses (each of mass m = .403 kg) slide without friction along the rod. The two masses begin at the rod's point of rotation when the rod is rotating at 10.0 ... 
Physics Angular Momentum
A long thin rod of mass M=2.00 kg and length L=75.0 cm is free to rotate about its center. Two identical masses (each of mass m = .45kg) slide without friction along the rod. The two masses begin at the rod's point of rotation when the rod is rotating at 10.0 rad/s. A) When ... 
Angular Momentum
A long thin rod of mass M = 2.00 kg and length L = 75.0 cm is free to rotate about its center as shown. Two identical masses (each of mass m = .421 kg) slide without friction along the rod. The two masses begin at the rod's point of rotation when the rod is rotating at 10.0 ... 
Physics (please help!!!!)
A thin uniform rod (length = 1.3 m, mass = 4.1 kg) is pivoted about a horizontal frictionless pin through one of its ends. The moment of inertia of the rod through this axis is 1/3 m L2. The rod is released when it is 55° below the horizontal. What is the angular acceleration... 
Physics
A thin uniform rod (length = 1.3 m, mass = 3.2 kg) is pivoted about a horizontal frictionless pin through one of its ends. The moment of inertia of the rod through this axis is (1/3)mL2. The rod is released when it is 50° below the horizontal. What is the angular acceleration... 
Physics
Two objects of different masses are joined by a light rod. a) Id the moment of inertia about the center of mas the minimum or maximum and why? b) If the two masses are 3kg and 5kg and the length of the rod is 2m, what are the moments of inertia of the system about an axis ... 
Physics
If a rod is moving at a velocity equal to 1/2 the speed of light parallel to its length, what will a stationary observer observe about its length? The length of the rod will become exactly half of its original value. The length of the rod remains the same. The length of the ... 
physics
If a rod is moving at a velocity equal to 1/2 the speed of light parallel to its length, what will a stationary observer observe about its length? The length of the rod will become exactly half of its original value. The length of the rod remains the same. The length of the ... 
Physics
Two particles with masses 3.1 kg and 6.6 kg are connected by a light rod of length 4 m. Find the moment of inertia of the system about an axis perpendicular to the rod and passing through: a) the midpoint of the rod; b) the center of mass of the system of particle: 
Science
Two particles with masses 3.1 kg and 6.6 kg are connected by a light rod of length 4 m. Find the moment of inertia of the system about an axis perpendicular to the rod and passing through: a) the midpoint of the rod; b) the center of mass of the system of particle: 
Physics
a uniform rod of 3 kg and length 1 m is suspended from a fixed point by means of strings of length .8m and .6m which are attached to the free ends of the rod such that rod is horizontal. find the tensions in the string 
physics
A thin, rigid, uniform rod has a mass of 2.60 kg and a length of 1.69 m. (a) Find the moment of inertia of the rod relative to an axis that is perpendicular to the rod at one end.A thin, rigid, uniform rod has a mass of 2.60 kg and a length of 1.69 m. 
mit
Quiz 12, Problem 4 (2 points possible) A uniform rod of length d is initially at rest on a flat, frictionless table. The rod is pivoted about a point a distance d/3 from one of its ends, and is free to rotate on the table about this pivot. A small glob of clay (mass m) ... 
physics
A uniform rod is set up so that it can rotate about a perpendicular axis at one of its ends. The length and mass of the rod are 0.849 m and 1.17 kg. What constantmagnitude force acting at the other end of the rod perpendicularly both to the rod and to the axis will accelerate... 
physics
A homogeneous rod AB=100 cm of mass m=4kg is suspended from a fixed roof by means of two very light strings OA and O'C having the same length point C is at 20cm from B , rod AB is in a horizontal position of equilibrium Make the inventory of the forces acting on the rod AB. 
Physics
Consider a lever rod of length 7.96 m, weight 71 N and uniform density. The lever rod is pivoted on one end and is supported by a cable attached at a point 1.74 m from the other end: ￼￼￼￼￼ ￼￼￼￼The lever rod is in equilibrium at angle of 54◦ from the ... 
physics
A uniform rigid rod of mass 1kg and length 30cm. Find the moment of inertia of the rod about an axis perpendicular to the rod through on end. 
Math, Algebra
Rod a is twice as long as rod b, rod c is 1/12m shorter than rod b. If rod c is 1/6m long, find the total length of Rod a and Rod b I thought it would be 2x+(x+1/12)+1/6 
physics
A thin rod has a length of 0.25 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.33 rad/s and a moment of inertia of 1.40 103 kg · m2. A bug standing on the axis ... 
physics
A mobile is constructed from a thin rod of mass 50 g and length 50 cm. Two hanging masses are positioned at each end of the rod. The mass of one of the hanging masses is 100 g. What must be the mass of the other hanging mass so that the mobile is in static equilibrium with the... 
physics
A mobile is constructed from a thin rod of mass 50 g and length 50 cm. Two hanging masses are positioned at each end of the rod. The mass of one of the hanging masses is 100 g. What must be the mass of the other hanging mass so that the mobile is in static equilibrium with the... 
PHYSICS
A thin rod has a length of 0.339 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.687 rad/s and a moment of inertia of 1.03 x 103 kg·m2. A bug standing on the ... 
PHYSICS
A thin rod has a length of 0.339 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.687 rad/s and a moment of inertia of 1.03 x 103 kg·m2. A bug standing on the ... 
CUC
1.Two masses of 4gm and 6gm respectively are attached to the ends of a light rod of negligible mass and the rod rotates anticlockwise at the rate of 2rev/sec about an axis passing through the center of mass and perpendicular to its length. Calculate (a)the angular momentum of ... 
physics
Two small balls are attached to a rigid rod of mass 2.2 kg that is 6.0 m in length. The first ball has a mass of 2.25 kg and the second ball has a mass of 4.95 kg. (c) What is the moment of inertia of the rod when it spins around its center of mass? 
Physics
The length of the rod will become exactly half of its original value. The length of the rod remains the same. The length of the rod will decrease. The length of the rod will increase. Wouldn't the length double, thus being answer D? 
Physics
The length of the rod will become exactly half of its original value. The length of the rod remains the same. The length of the rod will decrease. The length of the rod will increase. Wouldn't the length double, thus being answer D? 
Physics
Two point charges, +Q and Q of mass m, are placed on the ends of a massless rod of length L, which is fixed to a table by a pin through its center. If the apparatus is then subjected to a uniform electric field E parallel to the table and perpendicular to the rod, find the ... 
Physics
Two point charges, +Q and Q of mass m, are placed on the ends of a massless rod of length L, which is fixed to a table by a pin through its center. If the apparatus is then subjected to a uniform electric field E parallel to the table and perpendicular to the rod, find the ... 
physics
A cylindrical rod( length L, radius R and density d) is dipped vertically in to a liquid. the rod is connected by a wire to a balance that measures the force to lift the rod. the contact angle between rod and liquid is θ. If rod is partially immersed so 0.5L is above the ... 
physics
A cylindrical rod( length L, radius R and density d) is dipped vertically in to a liquid. the rod is connected by a wire to a balance that measures the force to lift the rod. the contact angle between rod and liquid is θ. If rod is partially immersed so 0.5L is above the ... 
Physics
A mass of 100g is attached to one end of a massless rod, 10cm in length, which is pivoted about the opposite end. The rod is held vertical, with the mass at the top, and released. The rod swings. A. What is the speed of the mass at the instant that the rod is horizontal? B. ... 
Physics
A uniform rod of mass M and length d is initially at rest on a horizontal and frictionless table contained in the xy plane, the plane of the screen. The figure is a top view, gravity points into the screen. The rod is free to rotate about an axis perpendicular to the plane and... 
physics
Question Part Points Submissions Used A thin cylindrical rod of length 3.00 m and mass 1.5 kg has two spheres attached on its ends. The centers of the spheres are 1.50 m from the center of the rod. The mass of each sphere is M = 0.72 kg. The rod and spheres are initially at ... 
Physics
The length of the rod will become exactly half of its original value. The length of the rod remains the same. The length of the rod will decrease. The length of the rod will increase. Wouldn't the length double, thus being answer D? No one has answered this question yet. 
Physics
Three identical balls, with masses M, 2M, and 3M are fastened to a massless rod of length L as shown. The rotational inertia about the left end of the rod is: That's the layout below. Would calculus be needed in this problem (intergration) because then Im in trouble. I know ... 
Physics
A copper rod (length = 1.3 m, radius = 3.70 103 m) hangs down from the ceiling. A 8.3kg object is attached to the lower end of the rod. The rod acts as a "spring", and the object oscillates vertically with a small amplitude. Ignoring the rod's mass, find the frequency f of ... 
physics
A rigid rod of mass m3is pivoted at point A, and masses m1 and m2 are hanging from it, as shown in the figure. (a) What is the normal force acting on the pivot point? The ratio of the weights of m1, m2, and m3 is 1:2:3. (Use the following as necessary: m1 and g for the ... 
physics
A 1.4mlong massless rod is pivoted at one end and swings around in a circle on a frictionless table. A block with a hole through the center can slide in and out along the rod. Initially, a small piece of wax holds the block 20 from the pivot. The block is spun at 50 , then ... 
Physics
A uniform rod of weight 5N and lenght 1m is pivoted at a point of 20 cm from one of its ends. A weight is hung from the other end so that te rod balances horizontally. What is the value of the weight? How do I find it if I don't know the weight at the other end? 
physics
A rigid rod holds a restaurant sign horizontally from the side of a building. The force due to gravity acting on the sign is 165N with the angle between the sign and the rod being 50 degrees. Ignoring the weight of the rod what is the magnitude of the tension in the rod? 
physics
A rod of length L has a varying density along its length that satisfies: λ(x) =((x^2/L^2)+1)λo where x = 0 is one end of the rod (which has density λo), and x = L is the other end (which has density 2λo). a. Find mass of the rod in terms of L and λo. b... 
Physics
An object whose mass is unknown is held by two rigid rods. The whole system is at rest. The angle between the vertical direction and the left rod from point A to B is 60 degrees. The angle between the vertical direction and the right rod from point C to D is 30 degrees. The ... 
physics
If an observer is traveling parallel to a rod at twice the speed of the rod, what is does the observer perceive the length to be? Choose one answer. a. The length of the rod remains the same. b. The length of the rod will become twice its original value. c. The length of the ... 
physics
If an observer is traveling parallel to a rod at twice the speed of the rod, what is does the observer perceive the length to be? Choose one answer. a. The length of the rod remains the same. b. The length of the rod will become twice its original value. c. The length of the ... 
Physics
A point charge of charge 1 mC and mass 100 g is attached to a nonconducting massless rod of length 10 cm. The other end of the rod is attached to a twodimensional sheet with uniform charge density σ and the rod is free to rotate. The sheet is parallel to the yz plane (... 
Physics
A point charge of charge 1 mC and mass 100 g is attached to a nonconducting massless rod of length 10 cm. The other end of the rod is attached to a twodimensional sheet with uniform charge density σ and the rod is free to rotate. The sheet is parallel to the yz plane (... 
physics
A 1kg mass (the blue mass) is connected to a 9kg mass (the green mass) by a massless rod 70 cm long, as shown in the figure. A hole is then drilled in the rod 40.2 cm away from the 1kg mass, and the rod and masses are free to rotate about this pivot point, P. Calculate the ... 
physics
A 1kg mass (the blue mass) is connected to a 9kg mass (the green mass) by a massless rod 67 cm long, as shown in the figure. A hole is then drilled in the rod 40.2 cm away from the 1kg mass, and the rod and masses are free to rotate about this pivot point, P. Calculate the ... 
physics
A 1kg mass (the blue mass) is connected to a 8kg mass (the green mass) by a massless rod 67 cm long, as shown in the figure. A hole is then drilled in the rod 40.2 cm away from the 1kg mass, and the rod and masses are free to rotate about this pivot point, P. Calculate the ... 
physics
A 1kg mass (the blue mass) is connected to a 9kg mass (the green mass) by a massless rod 67 cm long, as shown in the figure. A hole is then drilled in the rod 40.2 cm away from the 1kg mass, and the rod and masses are free to rotate about this pivot point, P. Calculate the ... 
physics
A 1kg mass (the blue mass) is connected to a 9kg mass (the green mass) by a massless rod 67 cm long, as shown in the figure. A hole is then drilled in the rod 40.2 cm away from the 1kg mass, and the rod and masses are free to rotate about this pivot point, P. Calculate the ... 
physics
A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 7.01 kg and length L = 0.15 m that is pivoted freely about one end, with a solid sphere of the same mass, 7.01 kg, and a radius of L/2 centered about the free end... 
Pyhsic...Elena,please help....
A point charge of charge 1 mC and mass 100 g is attached to a nonconducting massless rod of length 10 cm. The other end of the rod is attached to a twodimensional sheet with uniform charge density σ and the rod is free to rotate. The sheet is parallel to the yz plane (... 
physics
The figure shows an overhead view of a 3.00kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 37.0 g slides toward the opposite end of the rod with an initial ... 
Physics
A uniform rod 1.2 m long has weight of 1000 dynes and 2000 dynes at its ends. At what point on the rod can it be balanced horizontally if the rod weighs 2500 dynes? 
Physics
A mass of 1.0 kg is located at the end of a very light and rigid rod 44 cm in length. The rod is rotating about an axis at its opposite end with a rotational velocity of 3 rad/s. (a) What is the rotational inertia of the system? kg · m2 (b) What is the angular momentum of the... 
Physics
A uniform rod AB of length 2a and mass M is freely pivoted at A and is held with B vertically above A. It is then allowed to fall and when B is vertically below A it strikes a stationary particle , also of mass M,which sticks to the rod at B. The rod then turns through a ... 
Physics
A cylinder with a piston is filled with ideal gas. The gas temperature is held at 450 K. The cylinder is heated by an oven through a square metal rod connected between the oven and the cylinder. The rod has sides d = 2 cm and length L = 2.3 m. (a) If the oven is held at 850 K... 
PHYSICS
Particles 1 and 2, each of mass m, are attached to the ends of a rigid massless rod of length L1 + L2, with L1 = 19 cm and L2 = 75 cm. The rod is held horizontally on the fulcrum and then released. What is the magnitude of the initial acceleration of particle 1? What is the ... 
rotational mechanics
a thin rod of length 2R and mass M is standing vertically on a perfectly smooth floor. the state of equilibrium in which the rod at rest is unstable and the rod falls. FInd the trajectories that the various points of rod describe and velocity with which the upper end of rod ... 
physics
A rod made from a particular alloy is heated from 24.5°C to the boiling point of water. Its length increases by 8.15 x 104m. The rod is then cooled from 24.5°C to the freezing point of water. By how much does the rod shrink? 
Physics
A rod made from a particular alloy is heated from 22.0°C to the boiling point of water. Its length increases by 8.15 104m. The rod is then cooled from 22.0°C to the freezing point of water. By how much does the rod shrink? 
physics
A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 7.01 kg and length L = 0.15 m that is pivoted freely about one end, with a solid sphere of the same mass, 7.01 kg, and a radius of L/2 centered about the free end... 
physics
A 20 kg slender rod pivoted at its center has a length of 6 m. A motor applied a torque of 2400 Nm on the rod to turn it from rest. a) Find the the average power by the motor when the rod rotates an angle of 500 radians. b) Find the instantaneous power of the motor at the ... 
Physics
There is a horizontal rod of length L and mass M. A point mass m is vertically above the rod at a vertical distance L/4 and horizontal distance L/3 from one end of the rod.Using The Riemann sum Integral,find the magnitude and direction of the gravitational force exerted on the... 
Math
There is a horizontal rod of length L and mass M. A point mass m is vertically above the rod at a vertical distance L/4 and horizontal distance L/3 from one end of the rod.Using The Riemann sum Integral,find the magnitude and direction of the gravitational force exerted on the... 
College Physics
A rod of mass 4.3 kg and length 4.3 m hangs from a hinge as shown in Figure P9.28. The end of the rod is then given a “kick” so that it is moving at a speed of 2.3 m/s. How high will the rod swing? Express your answer in terms of the angle (in degree) that the rod makes ... 
physics
The ends of the two rods shown in the figure are separated by 2.97 mm at 24.3 °C. The lefthand rod is brass and 1.21 m long; the righthand rod is steel and 1.21 m long. Assuming that the outside ends of both rods rest firmly against rigid supports, at what temperature will ... 
physics
The ends of the two rods shown in the figure are separated by 2.97 mm at 24.3 °C. The lefthand rod is brass and 1.21 m long; the righthand rod is steel and 1.21 m long. Assuming that the outside ends of both rods rest firmly against rigid supports, at what temperature will ... 
physics
The ends of the two rods shown in the figure are separated by 2.97 mm at 24.3 °C. The lefthand rod is brass and 1.21 m long; the righthand rod is steel and 1.21 m long. Assuming that the outside ends of both rods rest firmly against rigid supports, at what temperature will ... 
physics
A uniform rod of mass M = 0.245kg and length L = 0.49m stands vertically on a horizontal table. It is released from rest to fall. (a) Calculate the angular speed of the rod, the vertical acceleration of the moving end of the rod, and the normal force exerted by the table on ... 
Physics Please Help
A point charge of charge 1 mC and mass 100 g is attached to a nonconducting massless rod of length 10 cm. The other end of the rod is attached to a twodimensional sheet with uniform charge density σ and the rod is free to rotate. The sheet is parallel to the yz plane (... 
physics
a 51.0 kg uniform square sign, of edge L = 2.00 m, is hung from a horizontal rod of length dh = 3.00 m and negligible mass. A cable is attached to the end of the rod and to a point on the wall at distance dv = 4.00 m above the point where the rod is hinged to the wall. 
physics please helpp
The ends of the two rods shown in the figure are separated by 2.97 mm at 24.3 °C. The lefthand rod is brass and 1.21 m long; the righthand rod is steel and 1.21 m long. Assuming that the outside ends of both rods rest firmly against rigid supports, at what temperature will ... 
PHYSICS
A rod 14.0 cm long is uniformly charged and has a total charge of 20.0 µC. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center. N/C toward the rod away from the rod 
college physics
A rod 14.0 cm long is uniformly charged and has a total charge of 20.0 µC. Determine the magnitude and direction of the electric field along the axis of the rod at a point 36.0 cm from its center. N/C toward the rod away from the rod 
physics
The uniform rod AB is suspended in air and its two ends are attached to supports by hinges.The rod has a weight of 15 lb and the spring is unstretched when θ = 0°. If θ = 30°, determine the stiffness k of the spring so that the rod is in equilibrium. 
Physics(Simple Harmonic motion and Elasticity)
A copper rod (length = 2.0 m, radius = 3.0 * 10^3 m) hangs down from the ceiling. A 9.0kg object is attached to the lower end of the rod. The rod acts as a “spring,” and the object oscillates vertically with a small amplitude. Ignoring the rod’s mass, find the ... 
Physics
A rod made from a particular alloy is heated from 23.5°C to the boiling point of water. Its length increases by 8.21 104 m. The rod is then cooled from 23.5°C to the freezing point of water. By how much does the rod shrink? I will be happy to critique your work. use a ... 
AQA Mechanics (M1), Statics and forces, please hel
A particle of weight W is attached by a light inextensible string of length a to a point A on a verticle wall. The particle is supported in equilbrium by a light rigid strut of length b attached to a point B on the wall at a distance a vertically below A. Show that the tension... 
physics
A cylindrical aluminum rod is attached to a wall by a hinge. A copper cable is attached to the rod at a point threequarters of its length away from the wall and used to support the rod in a horizontal position. The diameter of the rod is 5.0 cm and its unstressed length is 4.... 
Physics
A simple pendulum consists of a light rod of length L = 0.9 m anchored at a fixed point (like the ceiling), and a small mass m = 0.5 kg attached to the free end. The configuration is moved to an angle Î¸ = 39 degrees from the vertical and released from rest. Due to the ... 
physics
a very light rigid rod with a length of .500m extends straight out from one end of a meterstick. the meterstick is suspended from a pivot at the far end of the rod and is set into oscillation. determine the period of oscillation (hint: use the parallelaxis theorem) i can't ... 
physics
When the temperature of a thin silver [α = 19 × 106 (C°)1] rod is increased, the length of the rod increases by 3.6 × 103 cm. Another rod is identical in all respects, except that it is made from gold [α = 14 × 106 (C°)1]. By how much ΔL does the length of the ... 
PHYSICS ( PERIODIC MOTION)
A grandfather clock uses a physical pendulum to keep time. The pendulum consists of a uniform thin rod of mass M = 2.01 kg and length L = 0.19 m that is pivoted freely about one end, with a solid disk of mass 3M and a radius of L/4 attached to the free end of the rod. a) What ... 
Memt 202
If a rod of 1025 steel 0.5 m (19.7 in) long is heated from 20 to 80 deg C (68 to 176 deg F) while its ends are maintained rigid, determine the type and magnitude of stress that develops. Assume that at 20 deg C the rod is stress free. 
Physics
The rigid object shown in Fig. 1063 consists of three balls and three connecting rods, with M = 1.5 kg, L = 0.67 m, and θ = 32°. The balls may be treated as particles, and the connecting rods have negligible mass. Determine the rotational kinetic energy of the object if... 
Physics
The game of Jacks is played with pieces like those shown to the right, consisting of four small spheres at the ends of two perpendicular rods of length L and mass M. The piece is spun as shown about an axis through the third perpendicular rod of length L and mass M. Assume ... 
eqilibrium /physics
a rod 200cm long is pivoted at the 80cm from the one end 3kg body is attched at the one end 80cm away from the pivoted point how far from the other end 5kg body be attched to the rod 
math
Uniform rod AB with end B resting against rough vertical wall. Coefficient of friction between wall and rod is μ. Rod is 2m long and has mass 3kg. Rod is kept in limiting equilibrium by a light inextensible string, one end of which is attached to the end A of the rod and ... 
Physics
In the figure, a thin uniform rod of mass m = 3.05 kg and length L = 1.11 m rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at a distance d = 0.201 m from the end of the rod. The kinetic energy of the rod as it passes ... 
science
A steel rod of length 60 cm and radius 2.5 mm hangs vertically. If a mass of 2.5 kg is attached to the end of the rod, calculate the increase in the length of the rod