While setting up the integral for the moment of inertia of a uniform thin rod of…

PHYSICS · Single correct · A Level · Physics · Engineering physics · Engineering physics

Problem

While setting up the integral for the moment of inertia of a uniform thin rod of length

L

and mass

M

about an axis through one end and perpendicular to the rod, which expression correctly represents the mass element

dm

of a small segment of length

dx

located at a distance

x

from that end? (a)

dm = \dfrac{M}{L}\,x\,dx

(b)

dm = \dfrac{L}{M}\,dx

(c)

dm = \dfrac{M}{L}\,dx

(d)

dm = M\,dx