Introduction to Wedges

Q. Two blocks with the mass M and m are in contact with each other and are resting on horizontal frictionless floor. When horizontal force is applied to the heavier, the blocks accelerate to the right. The force between the two blocks are.

1. $\frac{(M+m)F}{m}$
2. $\frac{MF}{m}$
3. $F$
4. $\frac{mF}{(M+m)}$

Q. A box is resting on a floor with coefficient of friction equal to 0.4. at what maximum height 'H', may the box be pulled if it is to move with uniform velocity without overturning?

1. H = 30 mm
2. H = 60 mm
3. H = 75 mm
4. H = 150 mm

Q. A solid blcok 'A' weighting 'Q' kg is resting on a flat floor. A smooth cylindder 'B' weighting 'P' kg is placed between the solid A and the vertical wall as shown in figure. The friction between the cylinder, wall and the block A is negligible. The coefficient of friction between the block A and floor is $\mu$. The minimum weight P required to disturb the block A is

1. $\frac{Q(1-Tan\theta )}{\mu Tan\theta }$
2. $\frac{\mu QTan\theta }{(1-\mu Tan\theta )}$
3. $\mu Qcos\theta$
4. $\frac{\mu Q}{cos\theta }$