Question

PLEASE SOLVE
Centre of mass of two thin uniform rods of same length but made up of
different materials & kept as shown , can be, if the meeting point is the origin
of co-ordinates
(A) (L/2, L/2)
(B) (2L/3, L/2)
(C)(L/3, L/3)
(D) (L/3, L/6)​

Answer 1

The meeting point is the origin  of co-ordinates is L = (L / 3,L / 6)

Explanation:

Here let us consider the mass of rod along Y axis be  m 1  and that along X axis be  m 2

• Now Centre of mass of  m 1  is (0,  L /  2 )
• Centre of mass of  m 2  is ( L /  2 ,0)

Centre of mass of combined system:

CM of system line on L.

L1 ( y − L / 2) = ( −L/2 ÷ L/2)(x−0)

y = −x + L / 2

= (L / 3,L / 6)

Thus the meeting point is the origin  of co-ordinates is L = (L / 3,L / 6)

Also learn more

At what point the origin be shifted, if the coordinates of a point (4,5) becomes (-3,9)​ ?

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