Laws of Motion ...

A uniform rod $$AB$$ is suspended from a point $$X$$, at a variable distance $$x$$ from $$A$$, as shown. To make the rod horizontal, a mass $$m$$ is suspended from its end $$A$$. A set of $$(m,x)$$ values is recorded. The appropriate variables that give a straight line, when plotted, are: 

Two identical ladders are arranged as shown in the figure. Mass of each ladder is $$M$$ and length $$L$$. The system is in equilibrium. Find direction and magnitude of friction force acting at A or B.

STATEMENT-1
It is easier to pull a heavy object than to push it on a level ground.
STATEMENT-2
The magnitude of frictional force depends on the nature of the two surfaces in contact.

What is the minimum velocity with which a body of mass $$m$$ must enter a vertical loop of radius $$R$$ so that it can complete the loop?

A ball is suspended by a thread of length L at the point O on a wall which is inclined to the vertical by $$\alpha$$. The thread with the ball is displaced by a small angle $$\beta$$ away from the vertical and also away from the wall. If the ball is released, the period of oscillation of the pendulum when $$\beta > \alpha$$ will be 

An object placed on a ground is in stable equilibrium. If the objects is given a slight push, then initially the position of centre of gravity:

The combined effect of mass and velocity is taken into account by a physical quantity called:

When an athlete takes part in a long jump he runs for a while and then jumps. This is because:

Statement A: If the force varies with time then the net force is measured by the total change in momentum of the body.
Statement B: Change in momentum and impulsive force are numerically equal.

Which of following Newton's laws reveals the underlying symmetry in the forces that occur in nature?