Simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is

Question

Simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is (A) m g l(1- cos θ) (B)  0.5 mgl  (C)  mgl  (D)  2 mgl

Tardigrade Admin · Accepted Answer

In the equilibrium position energy is in the form of kinetic energy. Height of bob at maximum angular displacement is h=l-l cos θ =l(1- cos θ) Also P E=K E m g h=m g l(1- cos θ)

Q. Simple pendulum of length $l$ has a maximum angular displacement $θ$ . The maximum kinetic energy of the bob is

$m g l (1 - cos θ)$

$0.5 m g l$

$m g l$

$2 m g l$

In the equilibrium position energy is in the form of kinetic energy.
Height of bob at maximum angular displacement is
$h = l - l cos θ$
$= l (1 - cos θ)$
Also $PE = K E$
$m g h = m g l (1 - cos θ)$

Q. Simple pendulum of length l has a maximum angular displacement θ. The maximum kinetic energy of the bob is

mgl(1−cosθ)

0.5mgl

mgl

2mgl