Laws of Motion ...

A 10 kg block is pulled a along a frictional surface in the form of an are of a circle of radius 10 m. The applied force F is 200 N as shown in figure If a block started from rest at P 

The variation of force F acting on a body moving along x-axis varies with its position (x) shown in figure.
The body is in stable equilibrium state at 

A heavy particle hanging from a fixed point by a light inextensible  string of length  l h projected horizontally with a speed of $$\sqrt { { g }^{ l } } $$. Find the speed of the particle and the inclination of the string to the vertical at the instant of the motion, when the tension in the string is equal to the weight of the particle.

A car is circulating on a circular path of radius r. At some instant its velocity is v and rate of increase of speed is a. The resultant acceleration of the car will be 

Which of the following sets of concurrent forces may be in equilibrium?

A particle located in the one-dimensional potential field has potential energy function $$U(x) = \dfrac{a}{{{x^2}}} - \dfrac{b}{{{x^3}}}$$ where a and b are positive constants. The position of equilibrium corresponds to x?

A strign of length $$1=1m$$ is fixed at one end and carries a mass of $$100gm$$ at other end. The string makes $$\sqrt { 5 } \pi$$ revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical?

$$F = 2 {x^2} - 3x-2$$. Choose correct option

A uniform rod of mass $$M$$ has an impulse applied at right angles to one end begins to move with speed $$V$$,the magnitude of the impulse is

A bucket tied at the end of a $$1.6m$$ long string is whirled in a vertical circle with a constant speed. What should be the minimum speed so that the water from the bucket does not spill when the bucket  is at the highest position, (Take g=10m/s^2$$)