A pendulum consisting of a small heavy bob suspended from a rigid rod oscillates in a vertical plane (Fig.). When the bob passes through the position of equilibrium the rod is subjected to a tension equal to twice the weight of the bob.
Through what maximum angle
from the vertical will the pendulum be deflected? Dis regard the weight of rod and resistance of the air.

Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Sol. α = 60º Ans.
See Newton's second law to find the velocity when the bob passes through the position of equilibrium (see the previous solution)
v 2 =
= g λ
From the equation of the law of conservation of energy,
= mgh, it is possible to find the height from which the bob dropped: h =
=
.
cos α = h/ λ = 1/2
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