A 30 kg slab B rests on a frictionless floor as shown in the figure. A 10 kg block A rests on top of the slab B. The coefficients of static and kinetic friction between the block A and the slab B are 0.60 and 0.40, respectively. When block A is acted upon by a horizontal force of 100 N, as shown, find the resulting acceleration of the slab B. (g = 9.8 ms$$^2$$ )

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A book is lying on a table. What is the angle between the normal reaction acting on the book on the table and the weight of the book?

Two blocks $$A$$ and $$B$$ of masses $$4 \mathrm{~kg}$$ and $$6 \mathrm{~kg}$$ are as shown in the figure. A horizontal force of $$12 \mathrm{~N}$$ is required to make $$A$$ slip over $$B$$. Find the maximum horizontal force $$F_B$$ that can be applied on $B$, so that both $$A$$ and $$B$$ move together (take, $$g=10 \mathrm{~ms}^{-2}$$ )

An object dropped in a stationary lift takes time $$t_1$$ to reach the floor. It takes time $$t_2$$ when lift is moving up with constant acceleration. Then,