# What is the moment of inertia of a pendulum with a mass of #2 kg# that is #12 m# from the pivot?

##### 1 Answer

Apr 15, 2017

MOMENT OF INERTIA =

#### Explanation:

moment of inertia is defined as :

where dm is the mass of the differential element of the body and r is the distance of that differential element from the point about which you want to find out the moment of inertia .

thus , moment of inertia of a pendulum is =

m - mass of the bob

r - distance of bob from the pivot

with the assumption that the string connecting bob and the pivot is massless and inextensible .

therefore , moment of inertia =