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Two blocks of mass m = 1 kg and M = 2 kg...

Two blocks of mass m = 1 kg and M = 2 kg are in contact on a frictionless table. A horizontal fore ( = 3 N) is applied tom. Find the force of contact between the blocks. Will the force of contact remain same if the applied to M?

Text Solution

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All the forces acting on the two blocks are shown in figure. As the blocks are rigid under the action force F, both will move together with same acceleration,
`a=F/(m+M)=3/(1+2)=1m//s^2`
Now as the mass of larger: block is M and its acceleration a, so force of contact, i.e:, action on it,
`A_m=Ma=(MF)/(M+m)=(2xx3)/(2+1)=2N`
If the force is applied to M, its action on m will be
`A_m=ma=(mF)/(M+m)=(1xx3)/(2+1)=1N`
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