B M Sharma Solutions for Chapter: Newton's Laws of Motion (Without Friction), Exercise 28: CONCEPT APPLICATION EXERCISE 6.3

The masses of blocks $A$, $B$ and $C$ are $1 \mathrm{kg}$, $2 \mathrm{kg}$ and $0.5 \mathrm{kg}$, respectively. All surfaces are smooth. If the force $F=50 \mathrm{N}$ acts as shown in the figure at the instant shown, find the force which $A$ exerts on $B$ and the acceleration of $C$.

Seven identical dominoes (i.e., blocks) each of mass $m=1 \mathrm{kg}$ are to be stacked in three columns (figure gives an example) and pushed across a frictionless ice rink by a horizontal $10 \mathrm{N}$ force. Assume dominoes do not slip with respect to each other. How many dominoes should be in each column, with a minimum of one,

$\left(\mathrm{a}\right)$ to maximise the acceleration of the dominoes?

$\left(\mathrm{b}\right)$ to maximise the force on the column $C$ due to column $B$

An inclined plane is moved towards the right with an acceleration of $5 \mathrm{m} {\mathrm{s}}^{-2}$ as shown in the figure. Find the force in newton which block of mass $5 \mathrm{kg}$ exerts on the inclined plane. (All surfaces are smooth.)

A small cubical block is placed on a triangular block $M$, they move contact plane as shown in fig. The inclined surface makes an angle $\mathrm{\theta }$ With the horizontal. A force $F$ Is to be applied on the block $m$ In the horizontal direction so that the two bodies move without slipping against each other assuming the floor to be smooth also.Find 

$\left(\mathrm{a}\right)$ Normal force with which $m$ and $M$ Press against each other.

$\left(\mathrm{b}\right)$ The magnitude of external force $F$. Express the answers in terms of. $m$, $M$, $\mathrm{\theta }$ and $g$.

A block of mass $1 \mathrm{kg}$ is kept on the tilted floor of a lift moving down with $3 \mathrm{m} {\mathrm{s}}^{-1}$. If the block is released from rest as shown, what will be the time taken by the block to reach the bottom?

A lift is going up. The total mass of the lift and the passengers is $1500 \mathrm{kg}$. The variation in the speed of the lift is given by the graph.

What will be the tension in the rope pulling the lift at time $t$ Equal to $6 \mathrm{s}$.

A block of weight $W$ is placed on a wedge and arranged as shown in the figure. Find the force $F$ Needed to hold the cart equilibrium, if there is no friction.