# A solid cylinder of mass m and radius R rolls down a parabolic path PQR from height without slipping (assume R ≪ H) as shown in the figure below. Path PQ is rough (and so the cylinder will roll on

51,412 results
1. ## physics

A string is wrapped around a uniform solid cylinder of radius r. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and

2. ## calculus

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.5

3. ## Physics

Four objects - a hoop, a solid cylinder, a solid sphere, and a thin, spherical shell - each has a mass of 4.59 kg and a radius of 0.252 m. (a) Find the moment of inertia for each object as it rotates about the axes shown in the table above. hoop____ kg·m2

4. ## Calculus

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total volume of the solid is 2 cubic centimeters. Find the radius of the cylinder that produces the minimum surface area. (Round your answer to three decimal

5. ## Physics

A solid cylinder (radius = 0.150 m, height = 0.120 m) has a mass of 7.00 kg. This cylinder is floating in water. Then oil ( = 725 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the cylinder

6. ## Physics

A ring (hollow cylinder) of mass 2.89kg, inner radius 5.35cm, and outer radius 6.35cm rolls (without slipping) up an inclined plane that makes an angle of θ=35.6°, as shown in the figure below. At the moment the ring is at position x = 1.87m up the

7. ## Physics

M, a solid cylinder (M=2.35 kg, R=0.111 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.750 kg mass, i.e., F = 7.357 N. 1)Calculate the angular acceleration

8. ## Algebra

This diagram shows a solid metal cylinder. The cylinder hasbase radius 2x and height 9x. The cylinder is melted down and made into a sphere of radius r Find an expression for in terms of x

9. ## physics concepts (please check over my work)

A uniform cyclinder made of lead has the same mass and the same length as a uniform solid cylinder made of wood. The rotatonal inertia of the lead cylinder compared to the wooden one is: I thought at first that the rotational inertia cannot be known or

10. ## physics

A uniform solid cylinder of radius R and a thin uniform spherical shell of radius R both roll without slipping. If both objects have the same mass and the same kinetic energy, what is the ratio of the linear speed of the cylinder to the linear speed of the

11. ## Math

If a solid metal cylinder of radius 4 cm and height 10 cm is melted to make solid balls of radius 1 mm then number of such balls produced (in lakhs) will be.

12. ## Physics - I just need help with c

I just need some clarification on part (c). Here's the whole problem for context: A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center O, as shown in the cross-sectional view in the figure. A rope wrapped around

13. ## Physics

A solid cylinder rolls down an incline plane without slipping. If the center of mass of the cylinder has a linear acceleration of 2.67 m/s2, what is the angle of the incline to the horizontal?

14. ## Physics

I need help with this question please. A solid cylinder of mass m and radius R has a string wound around it. A person holding the string pulls it vertically upward such that the cylinder is suspended in midair for a brief time interval (change in)t and its

15. ## Physics Help..

A small cube (m=0.290 kg) is at a height of 261 cm up a frictionless track which has a loop of radius, R = 28.71 cm at the bottom. The cube starts from rest and slides freely down the ramp and around the loop. Find the speed of the block when it is at the

16. ## Math

The diagram shows a solid metal cylinder. The cylinder has base radius 2x and height 9x. E cylinder is melted down and made into a sphere of radius r. Find the expression for r in terms of x.

17. ## Physics

An infinitely long, solid insulating cylinder with radius a has positive charge uniformly distributed throughout it with a constant charge per unit volume p. a) using Gauss's law, derive the expression for the electric field inside the cylinder ra c)

18. ## physical

A solid cylinder has a radius of 0.051 m and a height of 0.0030. The cylinder is composed of two different materials with mass densites of 1950 kg/m3. If each of the two materials occupies an equal volume, what is the mass of the cylinder?

19. ## Math

A solid body consists of a cylinder surmounted by a hemisphere of the same radius. The total length of the body, measured along the central axis of cylinder, is 10cm. If the radius of the hemisphere is xcm,show that the volume vcm^3, of the solid body is

20. ## Physics - fluids

A solid cylinder (radius = 0.170 m, height = 0.150 m) has a mass of 7.00 kg. This cylinder is floating in water. Then oil (ñ = 0.866 kg/m3) is poured on top of the water until the situation shown in the drawing results. How much of the height of the

21. ## calculus

A potter forms a piece of clay into a cylinder. As he rolls it, the length,L, of the cylinder increases and the radius, r, decreases. If the length of the cylinder is increasing at .1 cm per second, find the rate at which the radius is changing when the

22. ## Physics

A ring (hollow cylinder) of mass 2.89kg, inner radius 5.35cm, and outer radius 6.35cm rolls (without slipping) up an inclined plane that makes an angle of θ=35.6°, as shown in the figure below. At the moment the ring is at position x = 1.87m up the

23. ## Physics

Upon spotting an insect on a twig overhanging water, an archer fish squirts water drops at the insect to knock it into the water. Although the insect is at distance d from the fish along a straight-line path at angle \$ (as in the figure here), a drop must

24. ## physics

A solid cylinder of mass m and radius R rolls down a parabolic path PQR from height without slipping (assume R ≪ H) as shown in the figure below. Path PQ is rough (and so the cylinder will roll on that path), whereas path QR is smooth, or frictionless

25. ## physics

"A solid cylinder and a thin-walled hollow cylinder have the same mass and radius. They are rolling horizontally along the ground toward the bottom of an incline. They center of mass of each cylinder has the same translational speed. The cylinders roll up

In each of the following cases, the mass is 7.99 kg and the radius is 7.50 cm. (a) What is the moment of inertia (kg/m2 ) of a solid cylinder rotating about an axis parallel to the symmetry axis but passing through the edge of the cylinder? (b) What is the

27. ## Physics

A large solid cylinder rolls without slipping down a 40 m long hill with a 30 degree slope. The cylinder then rolls a short distance over level ground and then off a 20 meter high sheer cliff. How far from the base of the cliff does the cylinder land?

28. ## physics

Consider two solid uniform cylinders that have the same mass and length, but different radii: the radius of cylinder A is much smaller than the radius of cylinder B. Rolling down the same incline, which one of the two cylinders will reach the bottom first?

29. ## Physics

A uniform solid cylinder of mass 10 kg can rotate about a frictionless axle through its center. A rope wrapped around the outer radius R1 = 1.0 m exerts a force of magnitude F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2

30. ## Math

A metal solid cylinder of radius 6 cm and length 12 cm is ,melted and recast into another solid cylinder of length 3 cm. A. Find the base radius of the new cylinder. B. Find the change in total surface area in terms of 3.14.

31. ## physics

A solid cylinder of mass 20 kg rotate about its axis of rotation with angular speed 100m/s. The radius of the cylinder is 0.25m. What is the K.E. associated with the rotation of the cylinder what is the magnitude of the angular momentum of the cylinder

32. ## physics

A solid, horizontal cylinder of mass 8.0 kg and radius 1.30 m rotates with an angular speed of 5.50 rad/s about a fixed vertical axis through its center. A 0.250 kg piece of putty is dropped vertically onto the cylinder at a point 0.900 m from the center

33. ## CUC

1.(a) A solid sphere of mass 100gm and radius 2.5cm rolls without sliding wit ha uniform velocity of 10cm/sec along a straight line on a smooth horizontal table. Calculate the total energy. (b) A hoop of radius 100cm and mass 19kg is rolling along a

34. ## physics

A particular trophy has a solid 0.2m radius base with a mass of 1.2kg. Rising up from the center is a 0.01m radius solid rod with a mass of 0.4kg. Centered on top of this is a hollow sphere with a radius of 0.15m and a mass of 0.8kg. Calculate the total

35. ## Physics

Consider a stainless steel annular disk with an outer radius 66 mm and inner radius 7.1 mm. The mass of the disk is 1351 grams. Keep your answers to at least 4 significant digits. The stainless steel annular disk is allowed to rotate on a frictionless

36. ## Physics

A round object with mass m and radius R rolls down a ramp that makes an angle θ with respect to the horizontal. You can assume there is static friction so that the object rolls without slipping. a) For now, take the moment of inertia of the object to be I

37. ## physics

A solid uniform cylinder of mass 4.6 kg and radius 0.051 m rolls without slipping at a speed of 0.78 m/s. What is the cylinder’s total kinetic energy? please show some work so that I can learn from it.

38. ## Physics

A uniform solid cylinder of mass M and radius R is at rest on a slab of mass m, which in turn rests on a horizontal, frictionless table. If a horizontal force is applied to the slab, it accelerates and the cylinder rolls without slipping. Find the

39. ## physics

In the figure below, a solid cylinder of radius 12 cm and mass 11 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at angle è = 30°. (a) What is the angular speed of the cylinder about its center as it

40. ## Physics Classical Mechanics

A hollow cylinder of outer radius R and mass M with moment of inertia about the center of mass Icm=MR2 starts from rest and moves down an incline tilted at an angle θ from the horizontal. The center of mass of the cylinder has dropped a vertical distance

41. ## Physics

A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 54.0 kg that rests on a platform. The cylinder has a mass of 265 kg and a

42. ## math

A solid sphere of radius Xcm is placed in a cylinder of radius 2Xcm and height 2Xcm. The cylinder is then filled with water to the brim and the solid gently withdrawn. Find d volume of d water in d cylinder in cm3

43. ## Physics

A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope is wound around the cylinder and its free end is attached to a block of mass 54.0 kg that rests on a platform. The cylinder has a mass of 265 kg and a

44. ## PHYSICS 1 ..'''''''''''''''''''''''' helllpppppppp

The “Vomit Comet.” In Zero-gravity astronaut training equipment testing, NASA ﬂies a KC135A aircraft along a parabolic ﬂight path. As shown in Figure P4.47, the air-craf climbs from 24000ft to 31000ft,where it enters a parabolic path with a

45. ## physics

A solid sphere of radius 3 cm and mass of 100 g rolls down a 30 degree incline from a height of 1 m. A hoop of the same mass and radius rolls down the same incline from the same height. What is the linear velocity of each body at the bottom of the incline?

46. ## physics

A solid sphere of radius 3 cm and mass of 100 g rolls down a 30 degree incline from a height of 1 m. A hoop of the same mass and radius rolls down the same incline from the same height. What is the linear velocity of each body at the bottom of the incline?

47. ## physics

A solid sphere of radius 3 cm and mass of 100 g rolls down a 30 degree incline from a height of 1 m. A hoop of the same mass and radius rolls down the same incline from the same height. What is the linear velocity of each body at the bottom of the incline?

48. ## physics

A solid steel cylinder is standing (on one of its ends) vertically on the floor. The length of the cylinder is 3.4 m and its radius is 58 cm. When an object is placed on top of the cylinder, the cylinder compresses by an amount of 5.9 10-7 m. What is the

49. ## Algebra URGENT! Conic sections

A spacecraft is in a circular orbit 150 kilometers above Earth. Once it attains the velocity needed to escape the Earth's gravity, the spacecraft will follow a parabolic path with the center of Earth as focus. Suppose the spacecraft reaches escape velocity

50. ## Physics HELP!

A solid, horizontal cylinder of mass 11.0 kg and radius 1.70 m rotates with an angular speed of 5.10 rad/s about a fixed vertical axis through its center. A 1.21 kg piece of putty is dropped vertically onto the cylinder at a point 0.600 m from the center

In each of the following cases, the mass is 7.99 kg and the radius is 7.50 cm. (a) What is the moment of inertia (kg/m2 ) of a solid cylinder rotating about an axis parallel to the symmetry axis but passing through the edge of the cylinder? (b) What is the

52. ## physics

A block of mass m = 1.02 kg is suspended above the ground at a height h = 14.4 m by a spool with two arms. The spool-with- arms arrangement is a combination of a solid uniform cylinder of mass M = 3.43 kg and radius R = 0.440 m, and two rods, each of

53. ## PHYSICS

A bucket containing cement has a mass of 3kg. One end of a rope is attached to the handle of the bucket and the other end is wound around a horizontally mounted cylinder on frictionless bearings. The mass of cylinder is 6kg and its radius is 0.10m. The

54. ## Physics

A small solid sphere, with radius 0.25 cm and mass 0.61 g rolls without slipping on the inside of a large fixed hemisphere with radius 17 cm and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the

55. ## Physics Classical Mechanics

Attach a solid cylinder of mass M and radius R to a horizontal massless spring with spring constant k so that it can roll without slipping along a horizontal surface. If the system is released from rest at a position in which the spring is stretched by an

56. ## classical mechanics

Attach a solid cylinder of mass and radius to a horizontal massless spring with spring constant so that it can roll without slipping along a horizontal surface. If the system is released from rest at a position in which the spring is stretched by an amount

57. ## INTRO TO PHYSICS

Each of the following objects has a radius of 0.174 m and a mass of 2.16 kg, and each rotates about an axis through its center (as in the table below) with an angular speed of 37.3 rad/s. Find the magnitude of the angular momentum of each object. >Hoop of

58. ## physics

Each of the following objects has a radius of 0.169 m and a mass of 2.02 kg, and each rotates about an axis through its center (as in this table) with an angular speed of 38.6 rad/s. Find the magnitude of the angular momentum of each object. (a) a hoop kg

59. ## physics

solid sphere,thin walled hollow sphere,solid cylinder from above the ground in the same mass and radius which object reach first the ground?

60. ## math

A cylinder container of radius 15 cm has some water in it. When a solid submerged into the water, the water level rises 1.2 cm. (a) Find, the volume of the water displace by the solid leaving your answer in terms of π (b) If the solid is a circular cone

61. ## Physics

A solid cylinder is pivoted at its center about a frictionless axle. A force is applied to the outer radius of 1.27 m at an angle of 30 ◦ above the tangential and exerts a force of 5 N. A second force is applied by wrapping rope around the inner radius

62. ## Physics

A solid cylinder is pivoted at its center about a frictionless axle. A force is applied to the outer radius of 1.27 m at an angle of 30 ◦ above the tangential and exerts a force of 5 N. A second force is applied by wrapping rope around the inner radius

63. ## PHYSICS HELP

A solid cylinder has an area of 10cm2 and a height of 1.0 m. The cylinder is composed of two different materials with mass densities of 2000 kg/m3 and 1500 kg/m3. If each of the two materials occupies an equal volume, what is the mass of the cylinder?

64. ## physics

Can somebody please shows me how to get to the answer key,06H? A thin, spherical shell of mass m and radius R rolls down a parabolic path PQR from height H without slipping (assume R ≪ H) as shown in the figure below. Path PQ is rough (and so the

65. ## physics

A solid cylinder has a mass of M and radius R. If it rolls without slipping on a horizontal surface with a linear speed of v, how high will it roll up an incline of angle θ? Don’t worry about friction. The moment of inertia for a cylinder is (1/2)MR2.

66. ## math

Inside a long empty cylinder with radius R = 25 cm is put a long solid cylinder with radius r = 10 cm such that the bases of the two cylinders are attached. Then water is poured in the remaining empty region of the first cylinder until the height of the

67. ## physics 2a

from solid sphere, solid cylinder and thin-walled cylinder.All three start from the same position and they all have the same kinetic energy a) which oblect will go the farthest b) does the result depend on the mass, radius of the object

68. ## Physics

A solid cylinder of mass 20 kg rotates about its axis with angular speed of 100 rad/sec. the radius of the cylinder is 0.25m. what is the kinetic energy of the cylinder?

69. ## physcs

A string is wrapped around a uniform solid cylinder of radius 3.10 cm, as shown in the figure. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block has mass 16.3 kg, and the cylinder has mass 11.2 kg.

70. ## physics

A bullet of mass = 0.13 kg is fired with a velocity of = 87.1 m/s into a solid cylinder of mass = 17.1 kg and radius = 0.29 m. The cylinder is initially at rest and is mounted on a fixed vertical axis that runs through its center of mass. The line of

71. ## Mathematics

Given solid object is made up of a hemisphere snd a cyinder.the radius of a hemisphere is equal to the radius of a cylinder.The height of a cylinder is 80 cm and the height of the solid object is 94cm.find the total surface area of thst solid object

72. ## Calculus

A potter forms a piece of clay into a right circular cylinder. As she rolls it, the height h of the cylinder increases and the radius r decreases. Assume that no clay is lost in the process. Suppose the height of the cylinder is increasing by 0.4

73. ## physics

A uniform solid cylinder of mass 1kg rolls with out slipping on aflate surface at aspeed of pay/200rad/s how long will it be when they meet?

74. ## 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)

Find the electric field on the axis of a uniformly charged solid cylinder, at a ﻿ distance z from the center of the cylinder. The length of the cylinder is H, its ﻿ radius is “a”, and the charge density is ρ. (Assume that z > H/2).

76. ## physics

A solid, horizontal cylinder of mass 12.0 kg and radius 2.30 m rotates with an angular speed of 6.70 rad/s about a fixed vertical axis through its center. A 1.60 kg piece of putty is dropped vertically onto the cylinder at a point 0.600 m from the center

Consider a wheel (solid disk) of radius 0.748 m, mass 16 kg and moment of iner- tia 1/2 MR^2 . The wheel rolls without slipping in a straight line in an uphill direction 27 above the horizontal. The wheel starts at angular speed 20.5882 rad/s but the

78. ## physics

1.A cylinder rolls without slipping on a horizontal plane and then up an incline. The linear speed of the cylinder at the beginning is v. What maximal height h will the cylinder reach? 2.Helicopter of mass M holds stationary in the air fires a missile of

79. ## Physics

A solid ball of mass m and radius r rolls without slipping through a loop of radius R, as shown in the figure. From what height h should the ball be launched in order to make it through the loop without falling off the track? (Use any variable or symbol

80. ## physics

A solid ball of mass m and radius r rolls without slipping through a loop of radius R, as shown in the figure. From what height h should the ball be launched in order to make it through the loop without falling off the track? (Use any variable or symbol

81. ## Physics - Height of ball launch

A solid ball of mass m and radius r rolls without slipping through a loop of radius R, as shown in the figure. From what height h should the ball be launched in order to make it through the loop without falling off the track? (Use any variable or symbol

82. ## Physics help

A solid cylinder rolls along the floor. What is the ratio of it's translational kinetic energy to its rotational kinetic energy about an axis parallel to its length and through its center of mass?

83. ## hellllp physics

A solid cylinder rolls along the floor. What is the ratio of it's translational kinetic energy to its rotational kinetic energy about an axis parallel to its length and through its center of mass?

84. ## Physics

A nonuniform cylinder (radius = 0.14 m, center-of-mass rotational inertia = 2.21×10^-2 kg·m^2, mass = 1.36 kg) starts from rest and rolls without slipping down a plane with an angle of inclination of 24.0 degrees. How long does it take to travel 1.72 m

85. ## Physics

what is the moment of interia of a solid cylinder of radius R=0.0950m thickness t=0.015m total mass M=3.565kg? show your work

86. ## Math

A solid body consists of a cylinder surmounted by a hemisphere of the same radius. The total length of the body, measured along the central axis of cylinder, is 10cm. If the radius of the hemisphere is xcm

87. ## math

nine solid metal spheres, each of radius 2 cm, are dropped into a cylinder partly filled with water. If the spheres are totally immersed, find the rise in the water if the radius of the cylinder is 3cm

88. ## physics

A hollow cylinder, a solid cylinder, a hollow sphere, and a solid sphere roll down a ramp without slipping, starting from rest. The ramp is 0.25 m high. All the objects have radius 0.035. What are their final speeds? Please show what equation you used and

89. ## physics

I don't know why my answer is wrong for this question. My answer is .8H. If you can help me,please do so because I got stuck at this question for a whole week. Please show me with steps. If you got ignore by the same question, I'm more ignore by it then

90. ## physics

A solid cylinder of radius 0.85m is released from rest from a height of 1.8m and rolls down the incline as shown. What is the linear speed of the cylinder when it reaches the horizontal surface?

91. ## Physics

A solid cylinder of radius 0.85m is released from rest from a height of 1.8m and rolls down the incline as shown. What is the linear speed of the cylinder when it reaches the horizontal surface?

92. ## Calc

Find the mass and center of mass of the solid E with the given density function ρ. E is bounded by the parabolic cylinder z = 1 − y^2 and the planes x + 6z = 6, x = 0, and z = 0; ρ(x, y, z) = 4. m=? x, y, z=?

93. ## physics

"A solid cylinder and a thin-walled hollow cylinder have the same mass and radius. They are rolling horizontally along the ground toward the bottom of an incline. They center of mass of each cylinder has the same translational speed. The cylinders roll up

94. ## Calculus

Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y=3x^2 and the planes z=0,z=2 and y=1.

95. ## Physics

I need help with this question please. A solid cylinder of mass m and radius R has a string wound around it. A person holding the string pulls it vertically upward such that the cylinder is suspended in midair for a brief time interval ¡ãt and its center

96. ## physics # 4

For the following question rank the objects in order from greatest to least. 4. Which object would be the most difficult to begin spinning about its center of mass? a.) Solid sphere b.) Hollow sphere c.) Hallow cylinder d.) Solid disk e.) Solid cylinder

97. ## Physics

A small solid sphere, with radius 0.25 cm and mass 0.61 g rolls without slipping on the inside of a large fixed hemisphere with radius 17 cm and a vertical axis of symmetry. The sphere starts at the top from rest. (a) What is its kinetic energy at the

98. ## science

show that the moment of inertia of a solid cylinder with radius R, mass M, and length L is 1/2(MR^2)

99. ## PHYSICS

HOW DO YOU FIND THE VELOCITY OF A 20 kg SOLID CYLINDER WITH A .25 m RADIUS WHEN IT IS RELEASED FROM THE TOP OF A 10 m LONG RAMP INCLINED AT 30 DEGREES? The potential energy at the top is mg10/sin30 The Ke at the bottom is 1/2 mv^2, plus 1/2 Iw^2 but w= v/r

100. ## physics

What is the moment of inertia of a solid cylinder of radius R=0.9550m,thickness t= 0.015m, and total mass M= 3.565 kg?