2. Fig. 2 shows a solid sphere of mass 2 kg and a massless string of total length 4 meters which is wrapped around the equator of the sphere (total length includes the length of wrapped string and the length of the string hanging from the ceiling). The sphere then falls vertically while rolling down (without slipping) the whole wrapped string and falls on top of an inclined plane. Due to the collision with the inclined plane, it loses all its kinetic energy within a very short time and starts rolling along the inclined plane with zero initial velocity. Consider that a total of 10 Joules of energy is lost during the motion of the sphere along the planes. The magnitude of gravitational acceleration g = 9.8 m/s². 1 m 3 m 2 m 30 Fig. 2 (a) Find the value of the moment of inertia of the sphere about its axis of rotation. (b) inclined plane? What is the magnitude of angular velocity of the sphere when it touches the (c) How far along the second inclined plane (45°) on the right will the center of the sphere travel before it comes to a stop?

2. Fig. 2 shows a solid sphere of mass 2 kg and a massless string of total length 4 meters which is wrapped around the equator of the sphere (total length includes the length of wrapped string and the length of the string hanging from the ceiling). The sphere then falls vertically while rolling down (without slipping) the whole wrapped string and falls on top of an inclined plane. Due to the collision with the inclined plane, it loses all its kinetic energy within a very short time and starts rolling along the inclined plane with zero initial velocity. Consider that a total of 10 Joules of energy is lost during the motion of the sphere along the planes. The magnitude of gravitational acceleration g = 9.8 m/s². 1 m 3 m 2 m 30 Fig. 2 (a) Find the value of the moment of inertia of the sphere about its axis of rotation. (b) inclined plane? What is the magnitude of angular velocity of the sphere when it touches the (c) How far along the second inclined plane (45°) on the right will the center of the sphere travel before it comes to a stop?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.66P: A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight....

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