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What is the net torque on the pulley?

B. What is the moment of inertia of the pulley, which is a 145 kg solid cylinder?

What is the angular acceleration of the pulley?

After 5.0 seconds, how fast is the pulley rotating?

Answer :

Final answer:

To find the net torque, moment of inertia, and angular acceleration of a pulley, specific formulas need to be applied based on the given information.

Explanation:

Net torque on the pulley: To calculate the net torque on the pulley, you need to know the forces acting on it. Torque = force x distance.

Moment of inertia of the pulley: For a solid cylinder, the moment of inertia is I = ½MR². Calculate it using the given mass and radius.

Angular acceleration of the pulley: Use the relation torque = I * angular acceleration to find the angular acceleration of the pulley.

For more complex objects with distributed mass, the moment of inertia can be calculated by integrating over the mass distribution.The moment of inertia is analogous to mass in linear motion, with larger moments of inertia corresponding to greater rotational inertia.

Angular acceleration, represented by the symbol α, measures the rate at which an object's angular velocity changes over time. It is analogous to linear acceleration in linear motion.

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