Rotation and Translational Problems
- 1. Rotational and Translational Motion copyrights © youmarks.com Prepared By Anand IIT Roorkie
- 2. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. a H V copyrights © youmarks.com