Aditya's challenges in Mechanics 2

At time zero, the small block \(m_1\) is given a slight push so as to slide down the semicircular region of radius \(r\). The big block \(m_2\) is perfectly smooth and there is no friction with the ground. What is the maximum velocity obtained by the small block during this process?

Details and Assumptions

  • \(g=\SI[per-mode=symbol]{10}{\meter\per\second\squared}\), \(m_1=\SI{1}{\kilo\gram}\), \(m_2=\SI{9}{\kilo\gram}\), \(r=\SI{10}{\meter}\).
  • The big block is not attached to the wall.
  • For geometric purposes, consider the small block as a point particle.

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