- #1
Tanya Sharma
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Homework Statement
Homework Equations
The Attempt at a Solution
Applying conservation of angular momentum w.r.t center O
MvL/4 = (ML2/12+ML2/16)ω , where ω is the angular speed of (rod+spider)
This gives ω = (12v/7L)
The torque τ acting on the system when the spider is at distance 'r' and the rod has rotated by an angle θ is given by τ = 2Mgrcosθ (1)
τ = (dθ/dt)(dI/dt) (2)
where I = (ML2/12+Mr2)
dI/dt = 2Mr(dr/dt) = 2Mr(dr/dθ)(dθ/dt) (3)
From the above equations I get gcosθdθ = ω2dr . Integrating I get v = (7/6)√(gL)
I don't know the answer . Is this the correct way to approach the problem ?
I would be grateful if somebody could help me with the problem .
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