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Masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. Assume the pulley is a solid cylinder with moment of inertia I =(1/2)MpR2 and that Mp = 42 kg. i. What is the angular momentum of the system in terms of the speed (v) of the two blocks? ii. What is the net torque on the system? iii. Use dL/dt = τext to find the acceleration (a).

Masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. Assume the pulley is a solid cylinder with moment of inertia I =(1/2)MpR2 and that Mp = 42 kg. i. What is the angular momentum of the system in terms of the speed (v) of the two blocks? ii. What is the net torque on the system? iii. Use dL/dt = τext to find the acceleration (a).

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Masses M = 6.0 kg and m = 3.0 kg are connected by a massless rope as shown in the figure below. The pulley has radius 30 cm. Assume the pulley is a solid cylinder with moment of inertia I =(1/2)MpR2 and that Mp = 42 kg.

i. What is the angular momentum of the system in terms of the speed (v) of the two blocks?

ii. What is the net torque on the system?

iii. Use dL/dt = τext to find the acceleration (a).

The image illustrates a classic physics problem involving a pulley system with two blocks. - **Block M:** This block is placed on a horizontal surface and connected to a string that runs over a pulley. The block is represented as a blue square labeled as "M". - **Pulley:** Positioned at the edge of the surface, the pulley is depicted as a circle with a central pivot point. It facilitates the string's movement, transferring force between the two blocks. - **Block m:** This block hangs freely off the edge, connected to the other end of the string. It is also depicted as a blue square and labeled as "m". In this setup, the system can be used to study various concepts such as tension, gravitational force, and friction, depending on additional conditions like surface texture or additional forces applied.
Transcribed Image Text:The image illustrates a classic physics problem involving a pulley system with two blocks. - **Block M:** This block is placed on a horizontal surface and connected to a string that runs over a pulley. The block is represented as a blue square labeled as "M". - **Pulley:** Positioned at the edge of the surface, the pulley is depicted as a circle with a central pivot point. It facilitates the string's movement, transferring force between the two blocks. - **Block m:** This block hangs freely off the edge, connected to the other end of the string. It is also depicted as a blue square and labeled as "m". In this setup, the system can be used to study various concepts such as tension, gravitational force, and friction, depending on additional conditions like surface texture or additional forces applied.
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