Laws of Motion ...

A box of mass m is made to move from A to B as shown in figure. Where will the normal force be larger:

Complete the statement of the first law of motion. "A body at rest stays at ____ and a body in motion stays in ____ unless an ____ is applied" 

Banking of roads is done due to

A block of mass $$m$$ is on an inclined plane of angle of angle $$\theta$$. The coefficient of friction between the block and the plane is $$\mu$$ and $$\tan { \theta  } >\mu$$. The block is held stationary by applying a force $$P$$ parallel to the plane. The direction of force pointing up the plane is taken to be positive. As $$P$$ is varied from $${ P }_{ 1 }=mg\left( \sin { \theta  } -\mu \cos { \theta  }  \right)$$ to $${ P }_{ 2 }=mg\left( \sin { \theta  } -\mu \cos { \theta  }  \right)$$, the frictional force $$f$$ versus $$P$$ graph will look like

A 0.25kg ball attached to a 1.5 m rope moves with a constant speed of 15 m/s around a vertical circle. Calculate the tension force on the rope at the middle of the circle:

Impulse of the force exerted by A and B during the collision, is equal to

The figure shows the position -time (x- t) graph of one-dimensional motion of a body of mass $$0.4$$ kg. The magnitude of each impulse is :

A ball is moving in the direction as shown. What will be the direction of momentum?

A cyclist leans with the horizontal at an angle of $$30^{o}$$, while negotiating round a circular road of radius $$20\sqrt{3}$$ meters. Speed of the cycle should be :

A car is moving in a circular horizontal track of radius $$10m$$ with a constant speed of $$10m/s$$. A plumb bob is suspended from the roof of the car by a light rigid rod of length $$1m$$. The angle made by the rod with track is