Suppose two 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. The system is accelerating at a rate of a = 1.0 m/s2 (M moving to the right and m downward). Assume there is no friction, and g = 10 m/s2.i. Find the tension in the rope on both sides of the pulley? ii. What is the net torque on the pulley? (Note: the two masses torque the pulley in opposite directions) iii. What is the moment of inertia, I, of the pulley? ( Note: use a = Rα) The image illustrates a mechanical system involving two masses connected by a pulley.### Description:- **Mass M**: A large block is positioned on a horizontal surface. It is depicted as a blue square labeled "M."- **Mass m**: A smaller block hangs vertically, represented as a blue square labeled "m."- **Pulley System**: The rope connecting the two masses runs over a pulley. The pulley is shown as a circular mechanism fixed at the corner of the surface.- **Rope**: The rope is taut and connects the top of mass M to mass m via the pulley.### Diagram Explanation:The diagram suggests a typical physics problem setup used to study forces and motion, involving two masses, M and m. Mass M rests on a surface, and mass m hangs freely. The system can demonstrate principles such as Newton's laws of motion, tension in the rope, and gravitational acceleration. The pulley allows the rope to change direction while transferring force between the two masses, creating a scenario to explore tension in ropes and acceleration of connected objects.

Given: Mass of the box M = 6.0 kg. Mass of small box m = 3.0 kg. Radius of pulley r = 30 cm.…

Answered: Suppose two masses M = 6.0 kg and m =…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Suppose two 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. The system is accelerating at a rate of a = 1.0 m/s²(M moving to the right and m downward). Assume there is no friction, and g = 10 m/s².

i. Find the tension in the rope on both sides of the pulley?

ii. What is the net torque on the pulley? (Note: the two masses torque the pulley in opposite directions)

iii. What is the moment of inertia, I, of the pulley? ( Note: use a = Rα)

The image illustrates a mechanical system involving two masses connected by a pulley.

### Description:

- **Mass M**: A large block is positioned on a horizontal surface. It is depicted as a blue square labeled "M."
- **Mass m**: A smaller block hangs vertically, represented as a blue square labeled "m."
- **Pulley System**: The rope connecting the two masses runs over a pulley. The pulley is shown as a circular mechanism fixed at the corner of the surface.
- **Rope**: The rope is taut and connects the top of mass M to mass m via the pulley.

### Diagram Explanation:

The diagram suggests a typical physics problem setup used to study forces and motion, involving two masses, M and m. Mass M rests on a surface, and mass m hangs freely. The system can demonstrate principles such as Newton's laws of motion, tension in the rope, and gravitational acceleration. The pulley allows the rope to change direction while transferring force between the two masses, creating a scenario to explore tension in ropes and acceleration of connected objects.

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