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

Question

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

Tardigrade Admin · Accepted Answer

Here: length of pendulum =l Maximum angular displacement =θ mass of the bob =m Now height of the bob at maximum angular displacement is h=l-l cos θ =l(1- cos θ ) Also at the end of the displacement kinetic energy of the bob = potential energy of the bob h=mgh=mgl (1-cosθ )

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

$m g l (1 - cos θ)$

$1/2 m g l$

$m g l$

$0.5 m g l$

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

mgl(1−cosθ)

1/2mgl

mgl

0.5mgl

Here: length of pendulum =l Maximum angular displacement =θ mass of the bob =m Now height of the bob at maximum angular displacement is h=l−lcosθ=l(1−cosθ) Also at the end of the displacement kinetic energy of the bob = potential energy of the bob h=mgh=mgl(1−cosθ)

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

$m g l (1 - cos θ)$

$1/2 m g l$

$m g l$

$0.5 m g l$