First slide
Simple hormonic motion
Question

The bob of a simple pendulum is displaced from its equilibrium position O to a position Q which is at height h above O and the bob is then released. Assuming the mass of the bob to be m and time period of oscillations to be 2.0 sec, the tension in the string when the bob passes through O is

Moderate
Solution

Tension in the string when bob passes through lowest point T = mg+mv2r = mg + mvω ( v = rω)
putting v = 2gh and ω = 2πT = 2π2 = π
we get T = m(g+π2gh)

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