Can this system be in equilibrium?

Classical Mechanics Level 2

Two blocks of unknown masses are arranged as in the diagram, with block A held against the grey wall.

The wall is smooth but the surfaces of A and B in contact are rough.

Now, when a force of $F$ is applied horizontally on block B, will this system remain in equilibrium?

Yes No Cannot be determined

1 solution

Ram Mohith
Sep 1, 2018

It is given that the surface between A and wall is smooth so there is no friction force to balance the weight $mg$ in $y - direction$ . The applied force $F$ , normal force $N$ between A and wall, contact forces on block A and B $N_A, N_B$ is in $x - direction$ have no hand in slipping the body.

In $y - direction$ : $\large \color{#20A900} mg \downarrow$ In $x - direction$ : $\large \color{#3D99F6} N_1 \rightarrow \quad \quad N_A \rightarrow \quad \quad N_B \leftarrow \quad \quad F \leftarrow$

Can this system be in equilibrium?

1 solution

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