If a simple pendulum of length, L has maximum angular displacement α , then the maximum kinetic energy of bob of mass M is

Question

If a simple pendulum of length, L has maximum angular displacement α , then the maximum kinetic energy of bob of mass M is, 1 2 M L g, M g 2 L, M g L ( 1 - cos ⁡ α ), M g L s i n α 2

MARKS App · Accepted Answer

Given, mass of bob= M Length of simple pendulum= L Now, in ∆ O A B , cos ⁡ α = O A O B or cos ⁡ α = O A L or A O = L c o s α and A P = O P - A O A P = L - L c o s α or h = L ( 1 - c o s α ) The maximum kinetic energy of bob = Maximum potential energy K E = M g h K E = M g L ( 1 - c o s α )

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