A steel cable with a radius of 1.5 cm supports a chairlift at a ski area. If the maximum stress is not to exceed 10⁸ N/m², what is the maximum load that the cable can support?
1. 7.06 x 10⁴ N
2. 5.03 x 10⁴ N
3. 1.09 x 10⁴ N
4. 17 x 10⁴ N

Anvils made of single crystals of diamond, with the shape as shown in the figure, are used to investigate the behaviour of materials under very high pressures. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm, and the wide ends are subjected to a compressional force of 50,000 N. What is the pressure at the tip of the anvil?

$1. 2.5\times {10}^{11}$ $\mathrm{Pa}$
$\left(\mathrm{ 2.}\right)$ $\mathrm{ 3}.7\times {\mathrm{}}^{}$10¹¹ Pa
$\left(\mathrm{ 3.}\right)$ $\mathrm{ 2}.1\times {10}^{\mathrm{}}$¹¹ Pa
 4.  1.9×10¹¹Pa${\mathrm{}}^{}$

A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in the figure. The cross-sectional areas of wires A and B are 1.0 $m{m}^2$ and 2.0 $m{m}^2$, respectively. At what point along the rod should a mass m be suspended in order to produce equal stresses in both steel and aluminium wires?
           

Two strips of metal are riveted together at their ends by four rivets, each of diameter 6.0 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×${10}^7$ Pa? (Assume that each rivet is to carry one-quarter of the load.)

1. 7850 N
2. 6000 N
3. 7070.73 N
4. 7799.76 N