Locate the centre of mass of arrangement shown in figure. The three rods are identical in mass and length:-

a) (L/2,L/2)
b) (L/3,0)
c) (L/3,L/2)
d) (0,L/3)

Question

Locate the centre of mass of arrangement shown in figure The three
rods are identical in mass and length:-

a) (L/2,L/2)
b) (L/3,0)
c) (L/3,L/2)
d) (0,L/3)

Sushant · Accepted Answer

Hi,

Please find below the solution to the asked query:

The system has three rodsFor the first rod(Along X axis)the center of mass of this rod is at (L2,0)For the second rod(Along Y axis)the center of mass of this rod is at (0
L2)while for the third rodthe center of mass  is at (L2,L)let us assume the mass of each rod to be m
thus the center of mass of the system is at :Xcom = m1x1+m2x2+m3x3m1+m2+m3so we have m1 = m2 =m3 = mso Xcom= mL2+0+mL23m = L3similarly Ycom = m1y1+m2y2+m3y3m1+m2+m3so we have m1 = m2 =m3 = mYcom= 0+mL2+mL3m = L2so co ordinates of COM = L3,L2

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Locate the centre of mass of arrangement shown in figure. The three rods are identical in mass and length:- a) (L/2,L/2) b) (L/3,0) c) (L/3,L/2) d) (0,L/3)

Locate the centre of mass of arrangement shown in figure. The three rods are identical in mass and length:-

a) (L/2,L/2)
b) (L/3,0)
c) (L/3,L/2)
d) (0,L/3)