EXERCISES

The figure below shows the strain-stress curve for a given material. What is Young’s modulus for the given material?
 

Figure below shows the strain-stress curve for a given material. What is approximate yield strength for this material?

The stress-strain graphs for materials A and B are shown in the figure.

The graphs are drawn to the same scale.
Which of the two is the stronger material?

The Young’s modulus of rubber is greater than that of steel.

The stretching of a coil is determined by its shear modulus.

A mild steel wire of length $1.0 \mathrm{m}$ and cross-sectional area $0.50\times {10}^{-2} {\mathrm{cm}}^2$ is stretched, well within its elastic limit, horizontally between two pillars. A mass of $100 \mathrm{g}$ is suspended from the midpoint of the wire. Calculate the depression at the midpoint.

Two strips of metal are riveted together at their ends by four rivets, each of diameter $6.0 \mathrm{mm}$. What is the maximum tension that can be exerted by the riveted strip if the shearing stress on the rivet is not to exceed $6.9\times {10}^7 \mathrm{Pa}$? Assume that each rivet is to carry one quarter of the load.

The Mariana trench is located in the Pacific Ocean, and at one place it is nearly eleven km beneath the surface of water. The water pressure at the bottom of the Trench is about $1.1\times {10}^8 \mathrm{Pa}$. A steel ball of initial volume $0.32 {\mathrm{m}}^3$ is dropped into the ocean and it falls to the bottom of the trench. What is the change in the volume of the ball when it reaches to the bottom?