# calculate the net torque about the axle of the wheel

63,681 results

### Physics

The 22 cm diameter disk in the figure below can rotate on an axle through its center. At the end of this problem, you will calculate the magnitude and direction of the net torque about the axle when F = 22 N. The net torque is just the sum of the individual torques. Depending ...

### physics

Given. a = 25.1 cm and b = 51.2 cm and the forces are F1 = 10.3 N, F2 = 10.6 N and F3 = 14.7 N. The angle between F2 and the horizontal is θ = 27.9 °. Find the magnitude of the net torque on the wheel about the axle through O. Answer in units of N m.

### physics

The 17.9 cm diameter disk rotates on an axle through its center. F1=22.1 N, F2=32.4 N, F3=32.4 N, F4=22.1 N, and d=4.74 cm. What is the net torque about the axle?

### physics

The 17.9 cm diameter disk rotates on an axle through its center. F1=22.1 N, F2=32.4 N, F3=32.4 N, F4=22.1 N, and d=4.74 cm. What is the net torque about the axle?

### physics

Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 11.0 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.)

### physics

Find the net torque on the wheel in the figure below about the axle through O perpendicular to the page, taking a = 5.00 cm and b = 23.0 cm. (Indicate the direction with the sign of your answer. Assume that the positive direction is counterclockwise.) f1= 10 f2= 9 f3=12

### Physics please check

A uniform solid disk with a mass of 32.3 kg and a radius of 0.414 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk. (a) What is the net torque produced by the two forces? (Assume counterclockwise is the positive direction.) (b) ...

### Physics

In the figure below, a wheel of radius 0.275 m is mounted on a frictionless horizontal axle. A massless cord is wrapped around the wheel and attached to a 1.95 kg box that slides on a frictionless surface inclined at angle θ = 32.7 ° with the horizontal. The box ...

### Physics

Can you please help with this problem. I don't know how to solve it at all. A uniform solid disk with a mass of 32.3 kg and a radius of 0.464 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk. (a) What is the net torque produced ...

### Physics

A wheel with rotational inertia I is mounted on a fixed, fricitonless axle. The angular speed w of the wheel is inccreased from zero to w_f in a time interval T. 1: What is the average net torque on the wheel during the time interval, T? a) w_f/T b)w_f/T^2 c) Iw_f^2/T d)Iw_f/T...

### physics

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edges and parallel to the edge. A frictional torque of 12 Nm acts at the axle of the merry-go-round. a. what ...

### Physics

A stiff uniform wire of mass M_0 and length L_0 is cut, bent, and the parts soldered together so that it forms a circular wheel having four identical spokes coming out from the center. None of the wire is wasted, and you can neglect the mass of the solder. What is the moment ...

### Maths

A ferris wheel has an axle standing 38m off the ground and a radius of 35m. The wheel takes 5 minutes to complete one revolution. The wheel moves in clockwise motion and you are sitting in one of the carriages which is horizontally in line with the axle, moving upwards. Form ...

### marhs

A wheel is free to rotate about its fixed axle. A spring with constant k = 290 N/m is attached to one of its spokes a distance r = 23 cm from the axle, as shown in the figure. (a) Assuming that the wheel is a hoop of mass m = 490 g and radius R = 0.97 m, what is the angular ...

### Physics

Forces F1=7.50N and F2=5.30N are applied tangentially to a wheel with radius 0.330 m. What is the net torque on the wheel due to these two forces for an axis perpendicular to the wheel and passing through its center? It depends upon whether or not the forces F1 and F2 are both...

### college

A typical ten-pound car wheel has a moment of inertia of about 0.35 kg*m^2. The wheel rotates about the axle at a constant angular speed making 45.0 full revolutions in a time interval of 7.00 sec . What is the rotational kinetic energy of the rotating wheel?

### physics

A typical ten-pound car wheel has a moment of inertia of about 0.35 kg*m^2. The wheel rotates about the axle at a constant angular speed making 45.0 full revolutions in a time interval of 7.00 sec . What is the rotational kinetic energy of the rotating wheel?

### physics

A typical ten-pound car wheel has a moment of inertia of about 0.35 kg*m^2. The wheel rotates about the axle at a constant angular speed making 45.0 full revolutions in a time interval of 7.00 sec . What is the rotational kinetic energy of the rotating wheel?

### Physic

A wheel-and-axle system shown consists of two coaxial wheels of radius r = 2 meters and R = 6 meters. The forces applied to the system as shown in the diagram are: F1 = 80 N F2 = 80 N F3 = 40 N F4 = 30 N If counterclockwise is positive, what is the net torque on this system?

### Physic

A wheel-and-axle system shown consists of two coaxial wheels of radius r = 2 meters and R = 6 meters. The forces applied to the system as shown in the diagram are: F1 = 80 N F2 = 80 N F3 = 40 N F4 = 30 N If counterclockwise is positive, what is the net torque on this system?

### physics

a wheel radius 0.25 m is mounted on a frictionless horizontal axle. the moment of inertia of the wheel about the axis is 0.040. a light cord wrapped around the wheel supports the 0.50 kg of box. the wheel is released from the rest. what is the magnitude of acceleration of the ...

### Physics

A 2000kg ferris wheel accelerates from rest to an angular speed of 2.0 rad/s in 12 secs. Approximate the ferris wheel as a circular disk with a radius of 30m. what iss the net torque on the wheel

### Physics

Not sure where to go with this problem, any help is appreciated! A bike is turned upside down for repairs. The front wheel can be described as a hoop with radius R=0.6 m and mass M=1.0 kg and a small point mass m=0.005 kg attached to the perimeter to represent the valve for ...

### Physics

Not sure where to go with this problem, any help is appreciated! A bike is turned upside down for repairs. The front wheel can be described as a hoop with radius R=0.6 m and mass M=1.0 kg and a small point mass m=0.005 kg attached to the perimeter to represent the valve for ...

### Physics

Am I correct? Which statement explains why a bicycle is stable when a rider pedals quickly? (Points : 1) The angular momentum vector resists directional change. <------- Applying a torque does not change the angular velocity of the wheel. A rotating object acts like a ...

### Physics

A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kgm^2. A child pushes the merry-go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 Nm acts at the axle of the merry-go-round. a. What ...

### Please check solution

A uniform solid disk with a mass of 40.3 kg and a radius of 0.454 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk (a) What is the net torque produced by the two forces? (Assume counterclockwise is the positive direction (b) ...

### Physics

A wheel and axle arrangement has an axle with a diameter of 25cm. A rope is wrapped around the axle and is supporting a load of 2 tonnes. 1)If the mechanical advantage of the system is 30, determine the diameter of the wheel. ANSWER = m 2)Determine the effort required to ...

### physics

A typical ten-pound car wheel has a moment of inertia of about . The wheel rotates about the axle at a constant angular speed making 30.0 full revolutions in a time interval of 5.00 .

### physics

A 715 gram grinding wheel 29.5 {\rm cm} in diameter is in the shape of a uniform solid disk. (We can ignore the small hole at the center.) When it is in use, it turns at a constant 210 {\rm rpm} about an axle perpendicular to its face through its center. When the power switch ...

### College physics

Consider the two situations. In the first a machine must pull a box up a rough slope at constant speed. The mass of the box is 800 kg, the coefficient of kinetic friction is 0.2, and the slope is inclined at 15 degrees to the horizontal. In the second situation the machine ...

### Physics

A bar of length 2L can rotate about a frictionless axle at its center. The bar is initially at rest and is then acted on by the three forces shown. What is the magnitude of the net torque on the bar?

### 12th grade

A bicycle wheel has a radius of 0.330 m and a rim whose mass is 1.20 kg. The wheel has 50 spokes, each with a mass of 0.010 kg. a.) Calculate the moment of inertia of the rim about the axle. b.) Determine the moment of inertia of any one spoke, assuming it to be a long, thin ...

### Physics

A uniform disk with mass m = 8.54 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 333 N at the edge of the disk on the +x-axis, 2) a force 333 N at the edge of the disk on the –y-axis, ...

### Physics - Rotational Mechanics

The combination of an applied force and a constant frictional force produces a constant total torque of 35.8 Nm on a wheel rotating about a fixed axis. The applied force acts for 5.95 s. During this time the angular speed of the wheel increases from 0 to 9.9 rad/s. The applied...

### Physics

A steel bicycle wheel (without the rubber tire) is rotating freely with an angular speed of 18.00 rad/s. The temperature of the wheel changes from -100.0 to +300.0 degrees Celcius. No net external torque acts on the wheel, and the mass of the spokes is negligible. (a) Does the...

### Physics/Chemistry

A steel bicycle wheel (without the rubber tire) is rotating freely with an angular speed of 18.00 rad/s. The temperature of the wheel changes from -100.0 to +300.0 degrees Celcius. No net external torque acts on the wheel, and the mass of the spokes is negligible. (a) Does the...

### Physics

Simple Machines A simple wheel and axle has a wheel diameter of 2.3m and an axle diameter of 92mm. If an effort of 26N is required to raise a mass of 16 kg what is the efficiency of the machine? A- 2.46% B- 95.3% C- 24.1% D- 20.1% E- 65.5% I am having a problem determining ...

### Physics (torque)

The steering wheel of a certain vehicle has a diameter of 38.9 cm, and it turns a shaft that is 8.3 cm in diameter. If a 85.9 N force is needed to turn the steering wheel, what torque is exerted on the wheel?

### Math

A river does 6,500 J of work on a water wheel every second. The wheel's efficiency is 12%. a. How much work in joules can the axle of the wheel do? b. What is the power output of the wheel in 1 s?

### physical science

A river does 6,500 j of work on a water wheel every second. The wheel efficiency is 12%. A. How much work in joules can the axle of the wheel do? B. What is the power output of the wheel in 1 s?

### science

A wheel with a radius of 20 cm is attached to an axle with a radius of 1cm. An effort force of 100 N on the wheel counters a resistance force of what on the axle?

### Physics

A wheel with a radius of 20 cm is attached to an axle with a radius of 1cm. An effort force of 100 N on the wheel counters a resistance force of what on the axle?

### physics

A 5.0 kg \rm kg, 52-cm \rm cm-diameter cylinder rotates on an axle passing through one edge. The axle is parallel to the floor. The cylinder is held with the center of mass at the same height as the axle, then released. a)What is the magnitude of the cylinder's initial angular...

### physics

A uniform disk with a mass of 27.3 kg and a radius of 0.309 m is free to rotate about a frictionless axle. Forces of 90.0 N and 125 N are applied to the disk, as the drawing indicates. (a) What is the net torque produced by the two forces? (b) What is the angular acceleration ...

### Science

You are holding the axle of a bicycle wheel with radius 30 cm and mass 1.07 kg. You get the wheel spinning at a rate of 79 rpm and then stop it by pressing the tire against the pavement. You notice that it takes 1.11 s for the wheel to come to a complete stop. What is the ...

### Physic (concepts-please check my thoughts)

A net torque applied to a rigid object always tends to produce? a)translational acceleration b) rotational equilibrium c) rotational acceleration d) rotational inertia e) none of these work (c) Torque produces torsion and tends to produce rotation. The net torque acting on a ...

### mechanics

Find the total kinetic energy of a 1500 g wheel, 700 mm in diameter, rolling across a level surface at 650 rpm. Assume that the wheel can be considered as a hoop. (b) For the wheel in part (a), calculate the torque required to decrease its rotational speed from 400 rpm to rest...

### Physics

A student holds a bike wheel and starts it spinning with an initial angular speed of 7.0 rotations per second. The wheel is subject to some friction, so it gradually slows down. In the 10-s period following the inital spin, the bike wheel undergoes 60.0 complete rotations. ...

### physics

A large wooden wheel of radius R and the moment of inertia I is mounted on an axle so as to rotate freely. A bullet of mass m and speed v is shot tangential to the wheel and strike its edge, lodging in the wheel’s rim. If the wheel was originally at rest, what is its ...

### Physics

You are holding the axle of a bicycle wheel with radius 35 cm and mass 1 kg. You get the wheel spinning at a rate of 55 rpm and then stop it by pressing the tire against the pavement. You notice that it takes 2.0 s for the wheel to come to a complete stop. What is the angular ...

### Physics

A simple wheel and axle is used to life a bucket out of a well. The radii of the wheel and axle are 20 cm and 4 cm, respectively. Determine: 1. The velocity ratio (and so the IMA), 2. The thoretical effort required to life a load of 30 N assuming no energy loosses, 3. The ...

### physics help please

A torque of 1.15 N·m is applied to a bicycle wheel of radius 36 cm and mass 0.83 kg. Treating the wheel as a hoop, find its angular acceleration. ?rad/s2 I know accel is alpha times the radius...where does torque tie in?

### physics-frictional torque

A string that passes over a pulley has a 0.321 kg mass attached to one end and a 0.655 kg mass attached to the other end. The pulley, which is a disk of radius 9.50 cm, has friction in its axle. What is the magnitude of the frictional torque that must be exerted by the axle if...

### Physics

The combination of an applied force produces a constant total torque of 39.6 N.m on a wheel rotating about a fixed axis. The applied force acts for 5.3 s. During this time, the angular speed of the wheel increases from 0 to 9.8 rad/s. Determine the moment of inertia of the wheel.

### physics

for an object in equillibrium the net torque acting on it vanishes only if each torque is calculated about?

### Physics

A 6 kg grinding wheel of radius 0.2 m rotates at a constant rotational frequency of 4 rad/s when an object makes contact with the outer edge of the wheel. Friction causes the wheel to stop in 2 seconds. What is the average torque on the wheel by the frictional force?

### Science

A 6 kg grinding wheel of radius 0.2 m rotates at a constant rotational frequency of 4 rad/s when an object makes contact with the outer edge of the wheel. Friction causes the wheel to stop in 2 seconds. What is the average torque on the wheel by the frictional force?

### physics

The wheel of a car has a radius of 0.390 m. The engine of the car applies a torque of 466 N·m to this wheel, which does not slip against the road surface. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a ...

### Physics

The wheel of a car has a radius of 0.390 m. The engine of the car applies a torque of 282 N · m to this wheel, which does not slip against the road surface. Since the wheel does not slip, the road must be applying a force of static friction to the wheel that produces a ...

### physics

The motor of a fan turns a small wheel of radius rm = 1.60 cm.This wheel turns a belt, which is attached to a wheel of radius rf = 2.90 cmthat is mounted to the axle of the fan blades. Measured from the center of this axle, the tip of the fan blades are at a distance rb = 11.0...

### Physics

an automobile tire has a radius of 0.350M, and its center forward with a liner speed of v=13.0m/s. (a) Determine the angular speed of the wheel. (Assume that there is no slipping of the surfaces in contact during the rolling motion.) (b) Relative to the axle, what is the ...

### Physics

A wheel with rotational inertia I initially rotates with a angular speed ωi . A torque is applied, speeding the wheel up to three times the angular speed in time Δt . A) Find the magnitude of the applied torque. B) Find the work done on the wheel during this time.

### general physics

An axle of a mass of 10 kg, length 10 cm and radius .1 m is free to rotate about the axis which runs the length of the axle, throuhh it's center. A chain of mass 4kg is fastened to the axle at one end, wound exactly 6 times around the axle, and a rock of mass 1.8 kg attached ...

### Physics- Simple machines

A wheel and axle arrangement has an axle with a diameter of 25cm. A rope is wrapped around the axle and is supporting a load of 2 tonnes. 1) If the mechanical advantage of the system is 30, determine the diameter of the wheel___________m. 2)Determine the effort required to ...

### math (vectors) & physics

In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (-2.0, 4.0 m, -1.0 m) when forces F1 = (-4.0 N) k and F2 = (-5.0 N) j act on the flea? _____________________________________ Torque is the cross product of the radius vector and ...

### physics

A wheel of diameter 28.0 cm is constrained to rotate in the xy plane, about the z axis, which passes through its center. A force = (-38.0 + 39.0 ) N acts at a point on the edge of the wheel that lies exactly on the x axis at a particular instant. What is the torque about the ...

### Physics

There is a bicycle wheel resting against a small step whose height is h = 0.132 m. The weight and radius of the wheel are W = 27.3 N and r = 0.324 m, respectively. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes a time when ...

### mechanical principle

1. A fly wheel with a mass of 50 kg is accelerated by an electric motor from rest to an angular velocity of 120rads/s in 14 seconds, if the value of k is 0.3m and there is a frictional torque of 0.07Nm calculate the torque applied, total work and the power from the motor. ...

### physics

The figure shows a bicycle wheel resting against a small step whose height is h = 0.110 m. The weight and radius of the wheel are W = 26.0 N and r = 0.370 m. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes a time when the ...

### physics

The figure shows a bicycle wheel resting against a small step whose height is h = 0.120 m. The weight and radius of the wheel are W = 20.0 N and r = 0.340 m. A horizontal force is applied to the axle of the wheel. As the magnitude of increases, there comes a time when the ...

### physics

When a 19.9 kg wheel with an angular speed of 3.10 rad/s is disconnected from a motor, a 0.124 N · m frictional torque slows the wheel to a stop. If the wheel has radius of 0.71 m, how long will it take for the wheel to come to rest after being disconnected from the motor?

### Physics

A cord is wrapped around the rim of a wheel .250 m in radius, and a steady pull of 40.0 N is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.00kg*m^2. Compute ...

### Physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 1.048 rad/s2. (a) What is the moment of ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 210 N applied to its edge causes the wheel to have an angular acceleration of 1.161 rad/s2. (b) What is the mass of the ...

### science

a river does 6500J of work on a water wheel every second.The wheels efficiency is 12 percent.A)How much work in joules can the axle of the wheel do in a second? B)What is the power output of the wheel?

### Physics

A rotating uniform-density disk of radius 0.6 m is mounted in the vertical plane. The axle is held up by supports that are not shown, and the disk is free to rotate on the nearly frictionless axle. The disk has mass 5.8 kg. A lump of clay with mass 0.5 kg falls and sticks to ...

### Physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 1.072 rad/s2. (a) What is the moment of ...

### Physics

The combination of an applied force and a frictional force produces a constant total torque of 38.1 Nm on a wheel rotating about a fixed axis. The applied force acts for 7.00 s, during which time, the angular speed of the wheel increases from 2.40 rad/s to 12.5 rad/s. The ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 210 N applied to its edge causes the wheel to have an angular acceleration of 1.161 rad/s2. (a) What is the moment of ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.370m is free to rotate on a frictionless, vertical axle. A constant tangential force of 470 N applied to its edge causes the wheel to have an angular acceleration of 0.800 rad/s2. (a) What is the moment of ...

### Physics

A wheel mounted on a stationary axle starts at rest and is given the following angular acceleration: 9-12t where t is the time after the wheel begins to rotate. Find the number of revolutions that the wheel turns before it stops ( and begins to turn in the opposite direction).

### physic

A grinding wheel of radius 0.280 m rotating on a frictionless axle is brought to rest by applying a constant friction force tangential to its rim. The constant torque produced by this force is 75.3 N · m. Find the magnitude of the friction force.

### physics

A grinding wheel of radius 0.370 m rotating on a frictionless axle is brought to rest by applying a constant friction force tangential to its rim. The constant torque produced by this force is 79.2 N • m. Find the magnitude of the friction force.

### Physics- Elena please help!

A large grinding wheel in the shape of a solid cylinder of radius 0.450m is free to rotate on a frictionless, vertical axle. A constant tangential force of 180 N applied to its edge causes the wheel to have an angular acceleration of 0.870 rad/s2. (a) What is the moment of ...

### physic

A small fly wheel fitted to a motor with a moment of inertia of 80 kg m² slows down from 9000 rpm to 5500 rpm in 7.5 seconds. For the fly wheel, calculate: • The rate of deceleration which you can assume to be constant • The braking torque.

### Physics 141

A bicycle wheel resting against a small step whose height is h = 0.125 m. The weight and radius of the wheel are W = 23.1 N and r = 0.330 m, respectively. A horizontal force vector F is applied to the axle of the wheel. As the magnitude of vector F increases, there comes a ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 260 N applied to its edge causes the wheel to have an angular acceleration of 0.795 rad/s2. (a) What is the moment of ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 1.053 rad/s2. (a) What is the moment of ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 280 N applied to its edge causes the wheel to have an angular acceleration of 0.960 rad/s2. (a) What is the moment of ...

### physics

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 270 N applied to its edge causes the wheel to have an angular acceleration of 0.854 rad/s2. (a) What is the moment of ...

### PHYSICS

A 3.0m rod is pivoted about its left end. A force of 6.0N is applied perpendicularto the rod at a distance of 1.2m from the pivot causing a ccw torque, and a force of 5.2N is applied at the end of the rod 3.0m fromt eh pivot. The 5.2N is at an angle if 30 degrees to the rod ...

### physics class-Help!!!

A 3.0 m rod is pivoted about its left end.A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a ccw torque, and a force of 5.2 is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 30 degrees to the ...

### physics

A constant torque of 200Nm turns a wheel about its centre. The moment of inertia about this axis is 100kgm^2

### physics 2...help please

A wheel on a game show is given an initial angular speed of 1.33 rad/s. It comes to rest after rotating through 3/4 of a turn. (a) Find the average torque exerted on the wheel given that it is a disk of radius 0.76 m and mass 6.4 kg. ? N·m sorry, I'm having converting issues...

### Physics 141

The drawing shows a bicycle wheel resting against a small step whose height is h = 0.125 m. The weight and radius of the wheel are W = 23.1 N and r = 0.330 m, respectively. A horizontal force vector F is applied to the axle of the wheel. As the magnitude of vector F increases...

### Physics 141

The drawing shows a bicycle wheel resting against a small step whose height is h = 0.125 m. The weight and radius of the wheel are W = 23.1 N and r = 0.330 m, respectively. A horizontal force vector F is applied to the axle of the wheel. As the magnitude of vector F increases...

### Physics

A constant retarding torque of 12 N*m stops a rolling 0.80 m diameter wheel in a distance of 15 m. How much work does the torque do?

### Physics

A rotating uniform-density disk of radius 0.7 m is mounted in the vertical plane. The axle is held up by supports that are not shown, and the disk is free to rotate on the nearly frictionless axle. The disk has mass 5 kg. A lump of clay with mass 0.3 kg falls and sticks to the...