First slide
Applications of SHM
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=)
putting v=2gh and  ω==2πT=2π2=π
we get  T=m(g+π2gh)

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