A classical mechanics problem by jatin yadav

Consider the arrangement consisting of a wedge (radius \(R = 2\) meters) and a small block , both having same mass, \(m\). The wedge is free to move.The upper surface of wedge is semicircular. Initially, both of them are rest. The block is released from A as shown in the figure. The speed of the wedge(in \(m/s\)) can be expressed as \(f(\theta)\). Find \(100 f'(\theta)\) at \(\theta = \frac{\pi}{4}\) to the nearest integer

_Details and Assumptions _

  • All surfaces are perfectly smooth.

  • The block never topples.

  • \(g = 9.8 m/s^2\)


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