Q.

Shown in the figure is a system of three particles of mass 1 kg, 2 kg and 4 kg connected by two springs. The acceleration of A, B and C at any instant are 1 ms-2, 2 ms-2 and 1/2 ms-2 respectively directed as shown in the figure external force acting on the system is:

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a

1N

b

7N

c

3N

d

None of these

answer is C.

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Detailed Solution

The acceleration of centre of mass of the systemacm=m1a→1+m2a→2+m3a→3m1+m2+m3⇒ The net force acting on the system       =m1a→1+m2a→2+m3a→3⇒ Fnet =m1a1+m2a2−m3a3                  =(1)(1)+(2)(2)−12(4) N=3 N
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