Question 1 M R I cm g h U=0 The figure shows a solid disc...

 

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Question 1 M R I cm g þ h U=0 The figure shows a solid disc or radius R = 0.5 meter whose com is at a height of 20 meters. The plane is friction-less up-to 2 meters along the plane, and then the path has a co-efficient of static friction 0.4. The mass of the disc is 2 kg. (a) Calculate the torque on the disc when it is in the surface with friction about the contact point of the disc with the surface. 3 (b) Calculate the final angular velocity of the disc when it lands on the ground. 3 (c) Now consider, after landing on the ground, it rolls without slipping with constant velocity and then it starts climbing along another inclined plane, with no friction. (i) Calculate the static friction force while it was rolling without slipping on the ground. 3 (ii) Calculate the height up-to which the disc can climb and calculate the angular velocity at that maximum height. 5 Question 1 M R I cm g þ h U=0 The figure shows a solid disc or radius R = 0.5 meter whose com is at a height of 20 meters. The plane is friction-less up-to 2 meters along the plane, and then the path has a co-efficient of static friction 0.4. The mass of the disc is 2 kg. (a) Calculate the torque on the disc when it is in the surface with friction about the contact point of the disc with the surface. 3 (b) Calculate the final angular velocity of the disc when it lands on the ground. 3 (c) Now consider, after landing on the ground, it rolls without slipping with constant velocity and then it starts climbing along another inclined plane, with no friction. (i) Calculate the static friction force while it was rolling without slipping on the ground. 3 (ii) Calculate the height up-to which the disc can climb and calculate the angular velocity at that maximum height. 5

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