Question

explain what is meant by a pendulum and draw its neat diagram. in the diagram, show the central position of the pendulum and amplitude of oscillation

Answer 1

complete one oscillation.

At equilibrium T

0

=mg.

For small displacement θ

Restoring force =−mgsinθ

for small θ sinθ≈θ

⇒fe=−mgθ=−mg(

l

x

)

acceleration a=

m

fe

=

l

−g

.x

We know for SHM, a=−w

2

x

⇒ On comparing we get w=

l

g

∴ Time period of oscillation T=

w

2Π

=2Π

g

l

.