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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:

a
1N
b
7N
c
3N
d
None of these

detailed solution

Correct option is C

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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Two objects of masses m1 and m2 are lying at rest a certain distance apart on the x-axis. A constant force F acts on m2 at time t = 0 as shown in Fig. The velocity of the centre of mass of the system at time t will be (m2 > m1).


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