A load of 31.4 kg is suspended from a wire of radius `10^(-3)` m and density `9xx10^3 kg//m^3` Calculate the change is temperature of the wire if 75% of the work done is converted into heat. The Young's modulus and the specific heat capactiy of the meterial of the wire are `9.8 xx 10^(10) N//m^2 and 490 J//kg//K` respectively.

(a) A wire 4 m long and 0.3 mm, calculate the potential energy stored in the wire. Young's modulus for the material of wire is 2.0xx10^(11) N//m^(2) .

A body of mass 3.14 kg is suspended from one end of a non uniform wire of length 10m, such that the radius of the wire is changing uniformly from 9.8xx10^(-4) m at one end to 5xx10^(-4) m at the other end. Find the change in length of the wire in mm. Young's modulus of the material of the wire is 2xx10^(11)N//m^(2) (mass of wire is negligible)

A 10 kg mass is attached to one end of a copper wire, 3m long and 1 mm in diameter. Calculate the lateral compression produced in it. (Possion's ration is 0.25and Young's modulus, of the metereal of the wire is modulus of the material of the wire is 12.5 xx 10^(10) N//m^(2)) .

The Young's modulus of the material of a wire is 6 xx 10^(12) N//m^(2) and there is no transverse strain in it.then it modulus of rigidity will be

Calculate the speed of a transverse wave in a wire of 1.0 mm^(2) cross-section under a tension of 0.98 N . Density of the material of wire is 9.8 xx 10^(3) kg//m^(3)

A wire of density 9000 kg//m^(3) is stretched between two clamps 100 cm apart while subjected to an extension od 0.05 cm . What is the lowest frequency of transverse vibrations in the wire , assuming Young's modulus of the material to be 9 xx 10^(10) N//m^(2) ?

If same tensile force is applied on two wires, there will an extension of 1xx10^(-3) m in them. The Young's moduli and radii of these wires are 10xx10^(10)N//m^(2) and 20xx10^(10)N//m^(2) and R_(1) and R_(2) respectively then R_(2) is equal to

At what tension a wire of length 75 cm and linear density 8xx10^(-3) kg//m , will be resonance with a frequency of 100 Hz.

The density of a uniform steel wire of mass 1.6 xx 10^(-2) kg , and length 2.5 m is 8 xx 10^(3) kg//m^(3) . When it is loaded by 8kg, it elongates by 1.25 mm. If g = 10 m//s^(2) , then the Young's modulus of the material of the wire is