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Inclined plane

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October 6th, 2022

Object 1 rolls up the incline without slipping. Object 2 rolls down the incline without slipping.

Object 1 is a solid sphere and has mass 2kg and radius R1

Object 2 is a hoop of mass 1kg and radius R2

Object 3 is a disk that is mounted on a frictionless axle through its CM. It has mass 4kg and radius R3 (this disk acts as a pulley. It only rotates)

Note: ropes are attached to axles through CM’s

Theta = 30 degree
Phi =60 degree

Find the acceleration of mass 2.

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