A stone of mass `m` is attached to one end of a wire of cross sectional area `A` and Young's modulus `Y` .The stone is revolved in a horizontal circle at a speed such that the wire makes a constant angle `theta` with the vertical. The strain produced in the wire will be

A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

A stone of mass m is tied to one end of a wire of length L. The diameter of the wire is D and it is suspended vertically. The stone is now rotated in a horizontal plane and makes an angle θ with the vertical. If Young's modulus of the wire is Y , Then the increase in the length of the wire is

A wire of uniform cross-sectional area A and young's modulus Y is stretched within the elastic limits. If s is stress in the wire, the elastic energy density stored in the wire in terms of the given parameters is

In a conical pendulum a small mass is revolving in horizontal circle with constant speed v at the end of the cord of length L that makes an angle theta with the vertical as shown . The value of angle theta would be (where r is the radius of circle)

A uniform rod of length l , mass m , cross-sectional area A and Young's modulus Y is rotated in horizontal plane about a fixed vertical axis passing through one end, with a constant angular velocity omega . Find the total extension in the rod due to the tension produced in the rod.

A stone tied to a string of length l is whirled in a horizontal circle at a constant angular speed omega in a circle of radius r. If the string makes an angle theta with vertical then the tension in the string is :

A wire of length L and cross-sectional area A is made of a material of Young's modulus Y. IF the wire is stretched by an amount x, the workdone is

A metal wire of length L, area of cross-section A and young's modulus Y is stretched by a variable force F such that F is always slightly greater than the elastic forces of resistance in the wire. When the elongation of the wire is l

A stone tied to the end of string 100cm long is whirled in a horizontal circle with a constant speed. If the stone makes 14 revolution in 22s, then the acceleration of the stone is

A block of weight 10 N is fastened to one end of a wire of cross sectional area 3 mm^2 and is rotated in a vertical circle of radius 20 cm. The speed of the block at the bottom of the circle is 2ms^-1 . Find the elongation of the wire when the block is at the bottom of the circle. Young modulus of the material of the wire =2xx10^11Nm^-2 .