Radial & Tangential Acceleration for Non Uniform Circular Motion
What minimum ...
Question
What minimum horizontal speed should be given to a particle of mass m attached to a rigid rod of length 10m so that it describes a complete vertical circular motion?
A
22.36m/s
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B
10m/s
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C
20m/s
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D
depend upon the mass of particle
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Solution
The correct option is C20m/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=20m/s is the minimum velocity that must be given to the particle.