A bead A can slide freely along a smooth rod bent in the form of a half circle of Radius R. The system is set in rotation with a constant angular velocity ω ω about a vertical axis OO'. Find the angle θ θ corresponding to steady position of the bead.
A
cos -1 
B
cos -1 
C
sin -1 
D
cos -1 
Text Solution
Verified by ExpertsThe correct answer is:
B
force acting along the tangent to the radius r = R sin θ θ .
mg sin θ θ - mr ω ω 2 cos θ θ = 0
or mg sin 
= 0 or θ θ = cos -1 
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