A system consists of three point masses constrained to move along the -axis

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A system consists of three point masses constrained to move along the

x

-axis. A mass

m

is fixed at

x=0

, a mass

2m

is fixed at

x=L

, and another mass

m

can slide freely between the two fixed masses. Let

x

be the position of the sliding mass, measured from the origin, where

0\le x\le L

. Which expression gives the

x

-coordinate of the center of mass of the three-mass system in terms of

x

and

L

? (a)

\dfrac{L + 2x}{4}

(b)

\dfrac{2L + x}{4}

(c)

\dfrac{L + x}{3}

(d)

\dfrac{2L + x}{3}