Laws of Motion ...

If force F =(500 - 100)t, then impulse as a function of time will be:-

A small sphere of mass m suspended by a thread is first taken aside so that the thread forms the right angle with the vertical and then released, then:

The total acceleration of the sphere and the thread tension as a function of $$\theta$$ , the angle of deflection of the thread from the vertical will be 

The angle $$\theta$$ between the thread and the vertical at the moment when the total acceleration vector of the sphere is directed horizontally will be

In the figure, a 4.0 kg ball is on the end of a 1.6 m rope that is fixed at O. The ball is held at point A, with the rope horizontal is given an initial downward velocity. The ball moves theough three qyarters of a circle with no friction and arrives at B, with the rope barely under tension. Thee initial velocity of the ball, at point A, is closest to

A car is moving in a circular path with a uniform speed $$v$$. When the car rotates through an angle $$\theta$$, the magnitude of change in its velocity is

Which of the following groups of forces could be in equilibrium?

One end of a string of length $$1.0m$$ is tied to a body of mass $$0.5kg$$. It is whirled in a vertical circle with angular velocity $$4 rad/s$$. The tension in the string when body is at the lower most point of its motion  is equal to [Take $$g=10m/s^2$$].

The frictional force is?

A ball of mas $$150 g$$, moving with an acceleration $$20 m/s^2$$, is hit by a force which acts on it for $$1$$sec. The impulsive force is:-

An inclined track ends in a circular loop of diameter $$D$$. From what height on the track a particles should be released so that it completes that loop in the vertical plane?