Mechanical Prop...

If in case $$A$$, elongation in wire of length $$L$$ is $$l$$, then for same wire elongation in case $$B$$ will be:

A thick rope of density $$\rho$$ and length $$L$$ is hung from a rigid support. The Young's modulus of the material of rope is $$Y$$. The increase in length of the rope due to its own weight is

When a wire is stretched, its length increases by 0.3% and the diameter decreases by 0.1%. Poisson's ratio of the material of the wire is about

A wire is stretched by $$0.01\ m$$ by a certain force $$F$$. Another wire of same material whose diameter and lengths are doubled to the original wire is stretched by the same force. Then its elongation will be:

The maximum load a wire can withstand without breaking, when its length is reduced to half of its original length, will 

One end of a uniform wire of length L and of weight W you is attached rigidly see through a point in the roof and weight W1 is suspended from its lower end. If S is true area of cross section of the wire the stress in the wire at a height (3L/4) from its lower end is :

The pressure of a medium is changed from $$1.01\times 10^{5}\ Pa$$ to $$1.165\times 10^{5}\ Pa$$ and change in volume is $$10\%$$ keeping temperature constant. The bulk modulus of the medium is 

The relationship between Young's modulus $$Y$$, Bulk modulus $$K$$ and modulus of rigidity $$\eta$$ is:-

To wires $$A$$ and $$B$$ have the same length and area of cross section. But Young's modulus of $$A$$ is two times the Young's modulus of $$B$$. Then the ratio of force constant of $$A$$ to that of $$B$$ is

A rod of mass $$'M'$$ is subjected to force $$'t'$$ and $$'2f'$$ at both the ends as shown in the figure. If young modulus of its material is $$'y'$$ and its length is $$L$$ find total elongation of rod.