Mechanical Prop...

A uniform rod of length $$'L'$$ and density $$'\rho'$$ is being pulled along a smooth floor with horizontal acceleration $$\alpha$$ as shown in the figure. The magnitude of the stress at the transverse cross-section through the mid-point of the rod is _________.

Which of the following statements are correct?

Take, bulk modulus of water $$B = 2100\ MPa$$.
What increase in pressure is required to decrease the volume of $$200\ litres$$ of water by $$0.004$$ percent?

The compressibility of water $$4\times 10^{-5}$$ per unit atmospheric pressure. The decrease in volume of $$100\ cubic$$ centimeter of water under a pressure of $$100$$ atmosphere will be:

The load versus elongation graph for four wires of the same material and same length is shown in the figure. The thinnest wire is represented by the line.

Identical springs of steel and copper $$\left( { Y }_{ steel }>\quad { Y }_{ copper } \right) $$ are equally stretched

A uniform slender rod of length $$L$$, cross-sectional area $$A$$ and Young's modulus $$Y$$ is acted upon by the forces shown in the figure. The elongation of the rod is:

The increase in energy of a metal bar of length 'L' and cross-sectional area 'A' when compressed with a load 'M' along its length is
(Y = Young's modulus of the material of metal bar)

Two wires of equal length and cross-sectional area are suspended as shown in figure. Their Young's modulii are Y$$_1$$ and Y$$_2$$ respectively. The equivalent Young's modulii will be:

The bulk modulus of water is $$2.0\times { 10 }^{ 9 }\ { N }/{ { m }^{ 2 } }$$ . The pressure required to increase the density of water $$0.1 \%$$ is