Question
A simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is
mgl (1-cosθ)
0.5 mgl
mgl
0.5 mgl
Solution
A.
mgl (1-cosθ)
Here length of the pendulum = l
Maximum angular displacement =θ
Mass of the bob = m
Now height of the bob at maximum angular displacement is
h = l - l (1-cosθ)
Also at the end of displacement kinetic energy of the bob = potential energy of the bob
mgh = mgl (1-cosθ)
hence kinetic energy of the bob = mgl (1-cosθ)
