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Question: Two identical pendulums are tied from the same rigid support. One is tied horizontally. The other is...

Two identical pendulums are tied from the same rigid support. One is tied horizontally. The other is released when they are making the same angle θ with the vertical.

A

tan2θ

B

cot2θ

C

1

D

sec2θ

Answer

sec2θ

Explanation

Solution

T1 cos θ = mg

T1 = mg/cosθ

T2= mg cos θ

∴ T1/T2 = 1/cos2θ

= sec2θ