Mechanical Prop...

A copper wire having $$Y=1\times 10^{11}N/m^{2}$$ with length $$6m$$ and a steel wire having $$Y=2\times 10^{11}N/m^{2}$$ with  length $$4 m$$ each of cross section $$10^{-5}m^{2}$$ are fastened end to end stretched by a tension of $$100 N$$. The elongation produced in the copper wire is :

If a rubber ball is taken at the depth of 200 m in a pool its volume decreases by 0.1% If the density of the water is $$\displaystyle  1\times 10^{3}kg/m^{3}\: $$and$$\: g=10m/s^{2}$$ then the volume elasticity in $$\displaystyle N/m^{2}$$ will be

One end of a uniform rope of length L and of weight w is attached rigidIy to a point in the roof and a weight w$$_1$$ is suspended from its lower. If s is the area of cross-section of the wire, the stress in the wire at a height $$\displaystyle \frac{3 L}{4}$$ from its lower end is:

The high domes of ancient buildings have structural value (besides beauty). It arises from pressure difference on the two faces due to curvature (as in soap bubbles). There is a dome of radius 5 m and uniform (but small) thickness. The surface tension of its masonry structure is about 500 N/m. Treated as hemispherical, the maximum load the dome can support is nearest to 

A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. What is the Bulk modulus of the ball material? (Take density of water = 1000 kg/m$$^3$$):

Find out Bulk stress on the spherical object of radius $$\displaystyle \frac{10}{\pi }$$ cm if area and mass of piston is 50 $$\displaystyle cm^{2}$$ and 50 kg respectively for a cylinder filled with gas:

With what minimum acceleration can a fireman slide down a rope whose breaking strength is 3/4 th of his weight ? 

Two wires of the same material and length but diameter in the ratio 1 : 2 are stretched by the same force. The ratio of potential energy per unit volume for the two wires when stretched will be :

Assertion: Stress is the internal force per unit area of a body. 
Reason: Rubber is more elastic than stee

If in a wire of Young's modulus Y, longitudinal strain X is produced then the potential energy stored in its unit volume will be :