Box 1 and Box 2 have masses 24 kg and 50 kg respectively are connected by...

   
 

Transcribed Image Text:

Box 1 and Box 2 have masses 24 kg and 50 kg respectively are connected by a massless rope that passes over a frictionless pulley. The pulley is 50 cm in diameter and has moment of inertia 0.080 kg m. The two boxes are released from rest and the pulley turns without the rope slipping. The coefficient of kinetic friction between Box 1 and the surface of the incline is 0.15. [Answer in 3 significant figures] 30 I T 1 P 4 2 T2 a) [10 pts] When the pulley has rotated 40 rad, what is the speed of Box 2? [Hint: How far the Box has moved and use energy approach.]? b) [10 pts] Draw the free body diagram for the Boxes separately. (Include coordinate axes and direction of acceleration for each diagram) c) [5 pts] Draw the rigid body diagram for the pulley. Include the direction of angular acceleration of the pulley. d) [15 pts] Find the tensions (T and T) of the rope. Box 1 and Box 2 have masses 24 kg and 50 kg respectively are connected by a massless rope that passes over a frictionless pulley. The pulley is 50 cm in diameter and has moment of inertia 0.080 kg m. The two boxes are released from rest and the pulley turns without the rope slipping. The coefficient of kinetic friction between Box 1 and the surface of the incline is 0.15. [Answer in 3 significant figures] 30 I T 1 P 4 2 T2 a) [10 pts] When the pulley has rotated 40 rad, what is the speed of Box 2? [Hint: How far the Box has moved and use energy approach.]? b) [10 pts] Draw the free body diagram for the Boxes separately. (Include coordinate axes and direction of acceleration for each diagram) c) [5 pts] Draw the rigid body diagram for the pulley. Include the direction of angular acceleration of the pulley. d) [15 pts] Find the tensions (T and T) of the rope.