A uniform thin rod AB of length has linear mass density

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A uniform thin rod AB of length

L

has linear mass density

\mu(x) = a + \frac{bx}{L}

, where

x

is measured from A. If the CM of the rod lies at a distance of

\left(\frac{7}{12}\right)L

from A, then

a

and

b

are related as : (1)

a = 2b

(2)

2a = b

(3)

a = b

(4)

3a = 2b