A large free mass M and a small mass m are connected to a string such that m moves in horizontal circle. Length of string is l and θ θ is the angle this length makes with vertical. The frequency of rotation of mass m so that M remains at rest is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Here T = Mg and T cos θ θ = Mg
Also, T sin θ θ = m ω ω 2 l sin θ θ ( Q radius = l sin θ θ )
i.e., T = m ω ω 2 l
or Mg = m ω ω 2 l i.e., ω ω = 
i.e., 2 π π v = 
i.e., v = 
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