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The Read-Write disk of a Personal Computer (PC) is d cm thick with radius R cm, and mass M gram. Due to the ball-bearings,

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The Read-Write disk of a Personal Computer (PC) is "d" cm thick with radius "R" cm, and mass "M" gram. Due to the ball-bearings, the friction coefficient is "B" kg-m/sec, which causes the friction torque to increase linearly as angular velocity w(t) increases. If a constant torque "To" nt-m is applied as soon as the "ON" button of this PC is pushed to reach the required angular velocity w a) Find the transfer function of this system and place the poles and zeroes of this system on the complex s-plane, b) Find the step response of this system w(t) in rad/sec, c) Find the overall transfer function of the controlled system if proportional control with negative feedback is used to achieve the required angular velocity w fast. R

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