The angle of rotation of the axes so that the equation may be reduced to the form

By translation of axes the equation  C=

In the adjoining figure AB = 14 units, BC = 12 units and BD = 13 units. Find the value of sec

Glycerol has:

In the figure shown, the system is released from rest. Find the velocity of block m m A B P A when block B has fallen a distance '. Assume all pulleys to be massless and frictionless.

A block of mass m is attached to two spring of spring constant as shown in figure. The block is displaced by x towards right and released. The velocity of the block when it is at will be :

Hence answer is isinx

A block attached to a spring, pulled by a constant horizontal force, is kept on a smooth surface as shown in the figure. Initially, the spring is in the natural state. Then the maximum positive work that the applied force F can do is : [Given that spring does not break]

The given plot shows the variation, the potential energy (U) of interaction between two particles with the separating distance (r) between them. Which of the above statements are correct?

1) B and D are equilibrium points
2) C is a point of stable equilibrium points
3) The force of interaction between the two particles is attractive between points C and D and repulsive between points D and E on the curve

In the figure shown the potential energy (U) of a particle is plotted against its position 'x' from origin. Then which of the following statement is correct. A particle at :

Velocity–time graph of a particle of mass 2 kg moving in a straight line is as shown in figure. Work done by all the forces on the particle is :

The work done in moving a particle under the effect of a conservative force, from position A to B is 3 joule and from B to C is 4 joule. The work done in moving the particle from A to C is :

A spring block system is placed on a rough horizontal surface having coefficient of friction . The spring is given initial elongation and the block is released from rest. For the subsequent motion

A particle of mass m = 1 kg is moving along y-axis and a single conservative force F(y) acts on it. The potential energy of particle is given by where is in meters. At the particle has kinetic energy of 15 . The total mechanical energy of the particle is

The kinetic energy of a particle continuously increase with time. Then

A particle moves in one dimensional field with total mechanical energy E. If potential energy of particle is , then