Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

Please explain the working of a simple pendulum?

Please explain the working of a simple pendulum?

Grade:12

1 Answers

Gaurav Sharma
19 Points
12 years ago

A Simple Pendulum

 

 

A simple pendulum is a pendulum with all the mass the same distance from the support point, like a ball on the end of a string. Gravity provides the restoring force (a component of the weight of the pendulum).


 
Summing torques, the restoring torque being the only one, gives:


 
For small angular displacements :


 
So, the torque equation becomes:


 
Whenever the acceleration is proportional to, and in the opposite direction as, the displacement, the motion is simple harmonic.
For a simple pendulum, with all the mass the same distance from the suspension point, the moment of inertia is:


 
The equation relating the angular acceleration to the angular displacement for a simple pendulum thus becomes:


 
This gives the angular frequency of the simple harmonic motion of the simple pendulum, because:


 
Note that the frequency is independent of the mass of the pendulum.

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free