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The mass of cart A is 120 kg, the mass of block B is 20 kg, and A is connected t

ID: 1851032 • Letter: T

Question

The mass of cart A is 120 kg, the mass of block B is 20 kg, and A is connected to B with the cable and pulley system shown. Cart A has four wheels that roll without slipping, and the 120-kg mass of the cart does not include the mass of the wheels or the pulley. The pulleys are solid cylinders and the cable does not slip on the pulleys. The mass and radius of each pulley is 4 kg and 0.05 m, respectively. The wheels are not solid cylinders. The mass and radius of each wheel is 6 kg and 0.15 m, respectively, and the radius of gyration of each wheel k = 0.12 m. The system is released from rest. Find the acceleration of cart A.

The answer is 1.549 m/s^2. Thanks in advance!

The mass of cart A is 120 kg, the mass of block B is 20 kg, and A is connected to B with the cable and pulley system shown. Cart A has four wheels that roll without slipping, and the 120-kg mass of the cart does not include the mass of the wheels or the pulley. The pulleys are solid cylinders and the cable does not slip on the pulleys. The mass and radius of each pulley is 4 kg and 0.05 m, respectively. The wheels are not solid cylinders. The mass and radius of each wheel is 6 kg and 0.15 m, respectively, and the radius of gyration of each wheel k = 0.12 m. The system is released from rest. Find the acceleration of cart A. The answer is 1.549 m/s^2. Thanks in advance!

Explanation / Answer

Hi, the associated figure that the question talks about is missing here. Request you to re-post the question with figure and rate this one. Thanks.