Laws of Motion ...

The disc is at rest at the top of a rough inclined plane. It rolls without slipping. At the bottom of inclined plane there is a vertical groove if radius $$R$$. In order to loop the groove, the minimum height of incline required is:

A rubber ball of mass 10 g falls from a height of $$80 cm$$ and rebounds to half of the original height. Impulse exerted by the ball on the floor is

If a car is to travel with a speed $$v$$ along the frictionless, banked circular track of radius $$r$$, the required angle of banking, so that the car does skids is ?

A 10kg block is pullled along a frictionless surface in the form of an arc of a vertical circle of radius 10m, as shown in figure. The tangential applied force is 200 N. If the block started from rest at point P, then its velocity at Q will be (take $$g=10m/s^2$$)

A player kicks a football of mass $$0.5$$kg and the football begins to move with a velocity of $$10 { m }/{ s }$$. If the contact between the leg and the football lasts for $$\dfrac { 1 }{ 50} $$ sec, then the force acted on the football should be

A thin uniform rod of mass $$M$$ and length $$L$$ is hinged at its upper end released from rest in horizontal position. The tension at a point located at a point located at a point, when the rod becomes vertical, will be:

What is corrct statement about impulse?

The coefficient of friction between the tyres and the road is $$0.25$$. The maximum speed with which a car can be driven around a curve of radius $$40m$$, without skidding is  ? (assume $$g=10ms^{-2}$$)

Safe maximum seed of the vehicle along an unbanked curved rough road of radius $$500m$$ and coefficient of static friction $$0.1$$ is

A $$10$$ kkg object attached to a nylon cord outside a space vehicle is rotating at a speed of $$5 m/s$$. If the force acting on the cord is $$125 N$$ its radius of path is