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- cos θ )  (B)  0.5 mgl  (C)  mgl  (D) mgl (1- sin θ

Tardigrade Admin · Accepted Answer

Here: length of pendulum =l <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/6fde7fa4b0a9ea2b6cab42c9353cb41b-.png" /> maximum angular displacement =θ mass of the bob = m Now height of the bob at maximum angular displacement is h=l-l cos θ =(1- cosθ ) Also at the end of the displacement kinetic energy of the bob = potential energy of the bob =mgh=mgl (1- cos θ )

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

$m g l (1 - cos θ)$

$0.5 m g l$

$m g l$

$m g l (1 - sin θ$

Q. A 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

mgl(1−sinθ

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=(1−cosθ) Also at the end of the displacement kinetic energy of the bob = potential energy of the bob =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:

$m g l (1 - cos θ)$

$0.5 m g l$

$m g l$

$m g l (1 - sin θ$