# Rotation and Translational Problems

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Information about Rotation and Translational Problems
Education

Published on January 8, 2009

Author: youmarks

Source: slideshare.net

Rotational and Translational Motion copyrights © youmarks.com Prepared By Anand IIT Roorkie

Find the velocity vector at any point x distance away from the center of a Disc rolling in a horizontal plane and the case is (a) Perfect Rolling (b) V cm = 3w R Also trace the path followed by any point x distance away and any point on the surface of disc copyrights © youmarks.com

Find the velocity vector at any point x distance away from the center of a Disc rolling in a horizontal plane and the case is

(a) Perfect Rolling

(b) V cm = 3w R

Also trace the path followed by any point x distance away and any point on the surface of disc

A sphere rolls without slipping on a rough surface with center of mass has constant speed v 0 . If mass of the sphere is m and the radius is R, then find the angular momentum of the sphere about the point of contact. copyrights © youmarks.com

A sphere rolls without slipping on a rough surface with center of mass has constant speed v 0 . If mass of the sphere is m and the radius is R, then find the angular momentum of the sphere about the point of contact.

A plank of mass M rests on a smooth horizontal plane. A sphere of mass m is placed on the rough upper surface of the plank and the plank is given a velocity v in the direction of its length.Find the time after which the sphere begins pure rolling,if the coefficient of friction between the plank and the sphere is µ and the plank is sufficiently long. copyrights © youmarks.com

A plank of mass M rests on a smooth horizontal plane. A sphere of mass m is placed on the rough upper surface of the plank and the plank is given a velocity v in the direction of its length.Find the time after which the sphere begins pure rolling,if the coefficient of friction between the plank and the sphere is µ and the plank is sufficiently long.

A light rod of length 1 m is constrained to move in a vertical plane. So that its ends are along x and y axis. Find the instantaneous axis of rotation of the rod when it makes an angle x with the horizontal copyrights © youmarks.com

A light rod of length 1 m is constrained to move in a vertical plane. So that its ends are along x and y axis. Find the instantaneous axis of rotation of the rod when it makes an angle x with the horizontal

A solid sphere is rolling on a rough horizontal surface with linear speed v collides elastically with a fixed, smooth vertical wall. Find the speed of sphere after it has started pure rolling in the backward direction. copyrights © youmarks.com

A solid sphere is rolling on a rough horizontal surface with linear speed v collides elastically with a fixed, smooth vertical wall. Find the speed of sphere after it has started pure rolling in the backward direction.

Problem of this lecture day A rough and inelastic sphere of radius a rolling with a velocity v on a horizontal plane meets a fixed obstacle of height h. Show that if a/(7a-5h) sqrt(10gh) <v< 7a/(7a-5h) sqrt (a-h) The sphere will overcome the obstacle without bouncing copyrights © youmarks.com

A rough and inelastic sphere of radius a rolling with a velocity v on a horizontal plane meets a fixed obstacle of height h. Show that if

a/(7a-5h) sqrt(10gh) <v< 7a/(7a-5h) sqrt (a-h)

The sphere will overcome the obstacle without bouncing

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