Question #48599

A mass M is attached to an end of rod of length L.The mass goes around vertical circular path with the other end hinged at the center.What should be the minimum velocity of mass M at the bottom of circle so that mass completes a circle?
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Expert's answer

2014-11-10T03:42:20-0500

Answer on Question 48599, Physics, Mechanics — Kinematics — Dynamics A mass M is attached to an end of rod of length L.The mass goes around vertical circular path with the other end hinged at the center.What should be the minimum velocity of mass M at the bottom of circle so that mass completes a circle?

Solution

From energy conservation law:

MV2/2=MgLMV^{2}/2=MgL

Minimum velocity must be

V=2gLV=\sqrt{2gL}

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