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Question

What minimum horizontal speed should be given to a particle of mass m attached to a rigid rod of length 10 m so that it describes a complete vertical circular motion?



A
22.36 m/s
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B
10 m/s
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C
20 m/s
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D
depend upon the mass of particle
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Solution

The correct option is C 20 m/s
Since the rod is rigid, the particle can reach the topmost point with zero velocity to describe a complete circular motion.


Now using energy conservation between A and B, taking A as a reference
KA+UA=UB+KB
12mv2+0=mg(20)+0
v2=2g(20)
v2=40g=400
v=400=20 m/s is the minimum velocity that must be given to the particle.

Physics

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