A uniform thin rod of length and mass is to be rotated about an axis perpendicular to…

PHYSICS · Multi-part · A Level · Physics · Engineering physics · Engineering physics

Problem

A uniform thin rod of length

0.80\,\text{m}

and mass

2.0\,\text{kg}

is to be rotated about an axis perpendicular to the rod and passing through a point

0.20\,\text{m}

from its centre. (i) Derive an expression for the moment of inertia

I

of a uniform rod of length

L

and mass

M

about an axis perpendicular to the rod and passing through a point at a distance

a

from its midpoint. (ii) Using the expression obtained in part (i), calculate the numerical value of

I

for the given rod.