First slide
NA
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 + mvw     ( v = )

Putting v = 2gh   and ω = 2πT = 2π2 = π

we get T = m(g+π2gh

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