Laws of Motion ...

A motorcyclist is moving in circular path of radius $$40\ m$$ with $$72\ km/h$$. The angle with vertical at which motorcyclist will bend  is $$(g=10\ m/s^ {2})$$

A stone tied to a piece of string is shrilled in a vertical cirlce with uniform speed. In  what position of the stone is the tension in the string greatest

The moment of inertia of a disc about its axis is $$I = 0.1 \ kg-m^2$$ . A tangential force of 2 kg wt is applied round the circumference of flywheel with the help of string and mass m. The acceleration of the mass is

A small block is shot into each of the four tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in

The figure shows an $$11.7$$ ft wide ditch with the approach roads at an angle of $$ 15^\circ$$ with the horizontal. With what minimum speed should a motorbike be moving on the road so that it safely crosses the ditch? Assume that the length of the bike is $$5 ft$$, and it leaves the road when the front part runs out of the approach road.

 A stone of mass m tied to a string of length L is whirled in a vertical circle. If the string remains just stretched when the stone is at the top of the circle, the tension in the string when the stone is at bottom of the circle is 

A water jet, whose cross sectional are is 'a' strikes a wall making an angle $$'\theta '$$ with the normal and rebounds elastically. The velocity of water of density 'd' is v. Force exerted on wall is

A circular road of radius 1000 m has banking angle $$45^{\circ}$$  The maximum safe speed $$\left ( in ms^{-1} \right )$$  of a car having a mass 2000 kg will be (if the coefficient of the friction  between tyre and road is 0.5) 

A body of mass 20 Kg moving with a velocity of 3 m/s, rebounds on a wall with same velocity. The impulse on the body is-

In a conical  pendulum, the centripetal force $$\left[ \dfrac { { mv }^{ 2 } }{ r }  \right] $$ acting on the bob is given by