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