Wrecking ball

A wrecking ball is a heavy metal mass that's swung, from a crane, into structures to demolish them. Suppose we release a ball of mass \(M\) from initial angle \(\theta\) and measure the speed at the lowest point in its swing to be \(v_\textrm{max}.\)

If we replace the wrecking ball with one of mass \(2M,\) keeping the length of the chain and the angle \(\theta\) at which the ball is released constant, how will \(v_\textrm{max}\) be affected?

\(\)
Details and Assumptions:

  • Neglect air resistance.
  • The mass of the chain is zero.
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