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(Solved): A block of mass is attached to a string which is wrapped around a pulley. As the block accelerates d ...



A block of mass is attached to a string which is wrapped around a pulley. As the block accelerates due to gravity the pulley rotates clockwise. The pulley can be thought of as a thin cylinder of mass and radius . Consider positive to be the block moving down and the pulley rotating clockwise. a) Find the moment of inertia of the pulley. b) Write down the expression for Newton's Second Law of motion for the block: Incorrect c) Write down the expression for Newton's Second Law of rotational motion for the pulley: d) Use the relationship between linear acceleration and rotational acceleration to replace the angular acceleration in this last equation then combine the equations from parts b and c to solve for the downwards acceleration of the block. e) What is the angular acceleration of the pulley? f) Starting from rest, how long does it take the block to hit the floor, below? g) Through how many radians did the pulley turn at this point? h) Find the tension in the rope.



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