A classical mechanics problem by jatin yadav

Consider the arrangement consisting of a wedge (radius R=2R = 2 meters) and a small block , both having same mass, mm. 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/sm/s) can be expressed as f(θ)f(\theta). Find 100f(θ)100 f'(\theta) at θ=π4\theta = \frac{\pi}{4} to the nearest integer

_Details and Assumptions _

  • All surfaces are perfectly smooth.

  • The block never topples.

  • g=9.8m/s2g = 9.8 m/s^2


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