Laws of Motion ...

The length of simple pendulum is 1 m and mass of its bob is 50 g. The bob is given sufficient velocity so that the bob describe vertical circle whose radius equal to length of pendulum. The maximum difference in the kinetic energy of bob during one revolution is.

A car moves around a curved road of radius $$R_1$$ at constant speed v without sliding. If we double the car's speed, what is the least radius that would now keep the car safe from sliding?

A force of $$25$$N acts on a body at rest for $$0.2$$s and a force of $$70$$N acts for the next $$0.1$$s in opposite direction. If the final velocity of the body is $$5ms^{-1}$$, the mass of the body is:

Block $$A$$ of mass $$4kg$$ is to be kept at rest against a smooth vertical wall by applying a force $$F$$ as shown in fig. The force required is $$\left( g = 10 \mathrm { m } / \mathrm { s } ^ { 2 } \right)$$

What is the impulse of force shown in the following fingre?

A body of mass tied at the end of a strong of length $$l$$ is projected with velocity $$\sqrt{4lg}$$, at what height will it leave the circular path:

A small block slides with velocity $$v _ { 0 } = 0.5 \sqrt { g r }$$ on the horizontal friction less surface as shown in the figure. The block leaves the surface at point C. The angle $$\theta$$ in the figure is:

A ball of mass $$150g$$ moving with an acceleration $$20m/s^2$$ is hit by force , which acts on it for $$0.1sec.$$ The impulsive force is

In which of the following cases , the net force is zero?
I) A ball freely falling from a certain height
II) A cork floating on the surface of water
III) An object floating in air

A body is standing on a merry-go-round which is rotating uniformly in a horizontal plane. His frame of reference is