**Question 2:**A general rolling object with mass \(M\), radius \(R\), and moment of inertia \(I\) is rolling down an incline of angle \(\theta\). Express the translational acceleration of the center of mass of the object in terms of the given variables.---*Explanation:*In this problem, we have a rolling object on an inclined plane with specific variables defined for its mass, radius, moment of inertia, and the angle of the incline. You are asked to find how the translational acceleration (the acceleration of the center of mass) is related to these variables.This scenario involves concepts of rotational motion and dynamics, where the gravitational force component along the incline and the torque caused by this force are used to determine acceleration.

According to Newton's second law, the net force on an object is equal to the product of its mass m…

Answered: 2. A general rolling object with mass…

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2. A general rolling object with mass M, radius R, and moment of inertia I is rolling down an incline of angle 0. Express the translational acceleration of the center of mass of the object in terms of the given variables.