Recent questions tagged translation-and-rotation

A cylinder rolls without slipping on a rough horizontal floor, its centre of mass moving with speed v. It makes an elastic collision with a smooth vertical wall. After impact

asked Dec 5, 2013 by meena.p

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A circular wooden loop of mass m and radius R rest on a flat horizontal friction less surface. A bullet, also of mass m, and moving with a velocity V, strikes the loop and gets embedded in it. The thickness of the loop is much smaller than R. The angular velocity with which the system angular velocity with which the system rotates just after the bullet strikes the loop is

asked Dec 5, 2013 by meena.p

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A body is given translational velocity and kept on a surface that has sufficient friction. Then

asked Dec 5, 2013 by meena.p

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A sphere is released on a smooth inclined plane from the top. When it moves down its angular momentum is

asked Dec 5, 2013 by meena.p

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A sphere S rolls without slipping, moving with constant speed on a plank p. The friction between the upper surface of P and the sphere is sufficient to prevent slipping, While the lower surface of p is smooth and rest on the ground. Initially P is fixed to the ground by a pin N. If N is suddenly removed :

asked Dec 5, 2013 by meena.p

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A thin spherical shell lying on a rough horizontal surface is hit by a cue in such a way that the line of action passes through the centre of the shell. As a result the shell starts moving with a linear speed V with out any initial angular velocity. Find the speed of the shell after it starts pure rolling on the surface .

asked Dec 5, 2013 by meena.p

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A uniform wheel of radius R is set into rotation about its axis at an angular speed w.This rotating wheel is now placed on a rough horizontal surface with its axis horizontal. Because of friction at the contact , the wheel accelerated forward and its rotation decelerates till the wheel starts pure rolling on the surfaces . Find the linear speed of the wheel after it starts pure rolling.

asked Dec 5, 2013 by meena.p

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Figure shows a rough track, a portion of which is in the form of a cylinder of radius R. with what minimum linear speed should a sphere of radius r be set rolling on the horizontal part so that it completes goes round the circle on the cylindrical part?

asked Dec 5, 2013 by meena.p

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A small spherical ball is released from a point at a height h on a rough track. Assuming that it does not slip any where , find its linear speed when it rolls on the horizontal part of the track.

asked Nov 29, 2013 by meena.p

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A small object density rolls up a curved surface with an initial velocity V. It reaches up to a maximum height of $ \large\frac{3V^2}{4g}$ with respect to the initial position. The object is

asked Nov 29, 2013 by meena.p

1 answer

A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear $w_0$ as shown. The disc com,es to rest after moving some distance to the right. It follows that

asked Nov 29, 2013 by meena.p

2 answers

A solid sphere is placed rotating with its center initially at rest in a corner as shown. (a) and (b) . Coefficient of friction between all surfaces and sphere is $\large\frac{1}{3}$ Find the ratio of friction forces $\large\frac{fa}{fb}$ by ground in situations (a) and (b)

asked Nov 29, 2013 by meena.p

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A solid sphere of mass m is lying at rest on a rough horizontal surface. The coefficient of friction between the ground and sphere is $\mu$. The maximum value of F, so that the sphere will not slip is equal to

asked Nov 29, 2013 by meena.p

2 answers

A ring, cylinder and solid sphere are placed on the top of a rough incline on which the sphere can just roll with out slipping. When all of them are released at the same instant from the same position, then

asked Nov 29, 2013 by meena.p

1 answer

A hollow smooth uniform sphere A of mass 'm' roll without sliding on a smooth horizontal surface. It collides elastically and head on with another stationary solid sphere B of the same mass m and same radius. The ratio of kinetic energy of 'B' to that of 'A' just after the collision is

asked Nov 29, 2013 by meena.p

1 answer

As shown in the figure , auniform disc of mass m is rolling without slipping with an angular velocity w. The portion AB is rough and BC is smooth. When it crosses the point B disc will be in

asked Nov 29, 2013 by meena.p

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A body of mass m and radius r is rotated with angular velocity w as shown. and then kept on a surface that has sufficient friction. then the body will move

asked Nov 29, 2013 by meena.p

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A uniform disc is performing pure rolling on a smooth stationary surface with constant angular velocity. At any instant, for the lower most point of the disc

asked Nov 29, 2013 by meena.p

1 answer

An object of mass M and Radius R is performing pure rolling. motion on smooth horizontal surface under the action of a constant force F. The object may be

asked Nov 29, 2013 by meena.p

1 answer

If a spherical ball rolls with out slipping, the fraction of its total energy associated with rotation is

asked Nov 29, 2013 by meena.p

1 answer

A yo-yo placed on a rough horizontal surface and a constant force F, less than its weight , pulls it vertically . Due to this

asked Nov 29, 2013 by meena.p

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A disc of radius R rolls on a horizontal ground with linear acceleration $'a'$ and angular acceleration $' \alpha '$ as shown. The magnitude of the acceleration $'\alpha'$ of point P at an instant , when its linear velocity is V and angular velocity is $w$ will be,

asked Nov 29, 2013 by meena.p

1 answer

Which of the following statement(s) is /are correct for a spherical body rolling with out slipping on a rough horizontal ground at rest.

asked Nov 29, 2013 by meena.p

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A disc is pulled by a force F acting at a point above the centre of mass of the disc. The direction of frictional force f acting on the disc pushed on a rough surface will be represented by

asked Nov 29, 2013 by meena.p

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A disc can roll without slipping , with out applying any external force on a 1) rough inclined plane 2) smooth inclined plane 3) rough horizontal surface 4) smooth horizontal surface

asked Nov 29, 2013 by meena.p

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A thin string is wrapped several times around a cylinder kept on a rough horizontal surface. A boy standing at a distance l from the cylinder draws the string towards him as shown. The cylinder rolls without slipping . The length of the string passed through the hand of the boy while the cylinder reaches his hand is

asked Nov 29, 2013 by meena.p

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Consider a disc rolling with out slipping on a horizontal surface at a speed V as shown in figure. 1) the speed of the particle at A is 2V. 2) the speed of the particle and B,C and D is equal to V 3) The speed of C is zero and the speed of B is $\sqrt 2$ V 4) the speed of 0 is less then the speed of V which is the correct answer?

asked Nov 29, 2013 by meena.p

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A cylinder rolls without slipping on a rough horizontal floor, its centre of mass moving with speed v. It makes an elastic collision with a smooth vertical wall. After impact

A body is given translational velocity and kept on a surface that has sufficient friction. Then

A sphere is released on a smooth inclined plane from the top. When it moves down its angular momentum is

Figure shows a rough track, a portion of which is in the form of a cylinder of radius R. with what minimum linear speed should a sphere of radius r be set rolling on the horizontal part so that it completes goes round the circle on the cylindrical part?

A small spherical ball is released from a point at a height h on a rough track. Assuming that it does not slip any where , find its linear speed when it rolls on the horizontal part of the track.

A small object density rolls up a curved surface with an initial velocity V. It reaches up to a maximum height of $ \large\frac{3V^2}{4g}$ with respect to the initial position. The object is

A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear $w_0$ as shown. The disc com,es to rest after moving some distance to the right. It follows that

A solid sphere is placed rotating with its center initially at rest in a corner as shown. (a) and (b) . Coefficient of friction between all surfaces and sphere is $\large\frac{1}{3}$ Find the ratio of friction forces $\large\frac{fa}{fb}$ by ground in situations (a) and (b)

A solid sphere of mass m is lying at rest on a rough horizontal surface. The coefficient of friction between the ground and sphere is $\mu$. The maximum value of F, so that the sphere will not slip is equal to

A ring, cylinder and solid sphere are placed on the top of a rough incline on which the sphere can just roll with out slipping. When all of them are released at the same instant from the same position, then

A hollow smooth uniform sphere A of mass 'm' roll without sliding on a smooth horizontal surface. It collides elastically and head on with another stationary solid sphere B of the same mass m and same radius. The ratio of kinetic energy of 'B' to that of 'A' just after the collision is

As shown in the figure , auniform disc of mass m is rolling without slipping with an angular velocity w. The portion AB is rough and BC is smooth. When it crosses the point B disc will be in

A body of mass m and radius r is rotated with angular velocity w as shown. and then kept on a surface that has sufficient friction. then the body will move

A uniform disc is performing pure rolling on a smooth stationary surface with constant angular velocity. At any instant, for the lower most point of the disc

An object of mass M and Radius R is performing pure rolling. motion on smooth horizontal surface under the action of a constant force F. The object may be

If a spherical ball rolls with out slipping, the fraction of its total energy associated with rotation is

A yo-yo placed on a rough horizontal surface and a constant force F, less than its weight , pulls it vertically . Due to this

A disc of radius R rolls on a horizontal ground with linear acceleration $'a'$ and angular acceleration $' \alpha '$ as shown. The magnitude of the acceleration $'\alpha'$ of point P at an instant , when its linear velocity is V and angular velocity is $w$ will be,

Which of the following statement(s) is /are correct for a spherical body rolling with out slipping on a rough horizontal ground at rest.

A disc is pulled by a force F acting at a point above the centre of mass of the disc. The direction of frictional force f acting on the disc pushed on a rough surface will be represented by

A disc can roll without slipping , with out applying any external force on a <br> 1) rough inclined plane <br> 2) smooth inclined plane <br> 3) rough horizontal surface <br> 4) smooth horizontal surface