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Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
Rotation and Translational Problems
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Rotation and Translational Problems

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    • 1. Rotational and Translational Motion copyrights © youmarks.com Prepared By Anand IIT Roorkie
    • 2. <ul><li>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 </li></ul><ul><li>(a) Perfect Rolling </li></ul><ul><li>(b) V cm = 3w R </li></ul><ul><li>Also trace the path followed by any point x distance away and any point on the surface of disc </li></ul>copyrights © youmarks.com
    • 3. copyrights © youmarks.com
    • 4. copyrights © youmarks.com
    • 5. <ul><li>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. </li></ul>copyrights © youmarks.com
    • 6. <ul><li>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. </li></ul>copyrights © youmarks.com
    • 7. <ul><li>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 </li></ul>copyrights © youmarks.com
    • 8. <ul><li>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. </li></ul>copyrights © youmarks.com
    • 9. Problem of this lecture day <ul><li>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 </li></ul><ul><li>a/(7a-5h) sqrt(10gh) <v< 7a/(7a-5h) sqrt (a-h) </li></ul><ul><li>The sphere will overcome the obstacle without bouncing </li></ul>copyrights © youmarks.com
    • 10. a H V copyrights © youmarks.com

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