Laws of Motion ...

A cyclist moves along a circular track at 144 km $$h^{-1}$$.What angle must he make with the vertical if the track is 1 km long?

The acceleration of a body may be doubled by doubling its:

An insect crawls up a hemispherical surface very slowly as shown in the figure. The coefficient of 
friction between the surface and the insect is $$\dfrac { 1 }{ 3 } $$ If the line joining the centre of the hemisphere surface to the insect makes an angle $$\propto $$ with the vertical, the maximum possible value of $$\propto $$ is given by 

A cone filled with water is whirled in a vertical circle of radius 4 m. What will be the time period of rotation so that water does not fall ?

A track for a certain motor sport event is in the form of a circle and banked at an angle $$\theta$$. For a car driven in a circle of radius r along the track at optimum speed the periodic time is --------

Rahul is traveling in a bus on a straight road facing in the direction of the motion of the bus. If the bus starts accelerating in the same direction then Rahul will fall 

Three blocks A,B and C are suspended as shown in the figure. Mass of each blocks A and C is m. If system is in equilibrium mass of B is M, then :

A ball of mass 1 kg strikes a heavy platform, elastically, moving upward with a velocity of 5 m/s. The speed of the ball just before the collision is 100 m/s downwards. Then the impulse imparted by the platform on the ball is :-

The breaking strength of a string is 55 kg wt. The maximum permissible speed of a stone of mass 5 kg which revolved in a vertical circle of radius 4 m with the help of is the string is g=10 $$ {s}^{2} $$.

In the figure, at the free end of the light string, a force $$F$$ is applied to keep the suspended mass of $$18 $$\mathrm { kg }$$ at rest. Assuming