The spring force is given by `F=-kx`, here k is a constant and x is the deformation of spring. The `F-x` graph is

The frequency of vibration v of mass m suspended from a spring of spring constant k is given by f=cm^(x)k^(y) where c is a dimensional constant. The volumes of x and y are :

One fourth length of a spring of force constant k is cut away. The force constant of the remaining spring will be what ?

A spring of force constant k extends by a length X on loading . If T is the tension in the spring then the energy stored in the spring is

A spring of force constant k extends by a length X on loading . If T is the tension in the spring then the energy stored in the spring is

The frequency of oscillation of a mass m suspended from a spring having force constant k is given by f = Cm^(x)k^(g) , where C is a dimensionless quantity. The value of x and y

(a) What is elastic potential energy of a spring ? Obtain the relation for elastic P.E. U=(1)/(2)kx^(2) . Where k is force constant of spring, x is extension or compression produced in the spring.

A block of mass m rests on a rough horizontal plane having coefficient of kinetic friction mu_(k) and coefficient of static friction mu_(s) . The spring is in its natural, when a constant force of magnitude P=(5mu_(k)mg)/(4) starts acting on the block. The spring force F is a function of extension x as F=kx^(2).( Where k is spring constant ) (a) Comment on the relation between mu_(s) and mu_(k) for the motion to start. (b) Find the maximum extension in the spring ( Assume the force P is sufficient make the block move ) .

A block of mass m rests on a rough horizontal plane having coefficient of kinetic friction mu_(k) and coefficient of static friction mu_(s) . The spring is in its natural, when a constant force of magnitude P=(5mu_(k)mg)/(4) starts acting on the block. The spring force F is a function of extension x as F=kx^(2).( Where k is spring constant ) (a) Comment on the relation between mu_(s) and mu_(k) for the motion to start. (b) Find the maximum extension in the spring ( Assume the force P is sufficient make the block move ) .

The frequency f of vibrations of a mass m suspended from a spring of spring constant k is given by f = Cm^(x) k^(y) , where C is a dimensionnless constant. The values of x and y are, respectively,