Suppose the platform with the kid in the previous problem is rotating in anticlockwise direction at an angular speed w. The kid starts walking along the rim with a speed u relative to the platform also in the anticlockwise direction. Find the new angular speed of the platform.

Given:



Angular velocity of the wheel before kid starts walking = w


Angular velocity of the wheel after walking =


Speed of kid relative to platform= u


From the inertial frame of reference, the system is moving with the speed =


Since no external torque is acting on the system


Therefore,





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