A truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long and has a radius of 5 mm. When the car just begins to move, the tension in the cable is 800 N. How much has the cable stretched? (Young’s modulus for steel is 2 × 10¹¹ Nm-2.)

A steel rod (Y= 2.0 × 10¹¹ Nm^-2; and α = 10^-5 C^-1) of length 1 m and area of cross-section 1 cm² is heated from 0° C to 200° C, without being allowed to extend or bend. What is the tension produced in the rod?

Original Question has and α = 10^-5

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by 0.1%. (The bulk modulus of rubber is 9.8×10⁸ N m^-2; and the density of sea water is 10³ kg m^-3.)

Water density is 10³ kg m^-3.

Two identical solid balls, one of ivory and the other of wet-clay, are dropped from the same height on the floor. Which one will rise to a greater height after striking the floor and why?

Consider a long steel bar under a tensile stress due to force’s F acting at the edges along the length of the bar (Fig. 9.5). Consider a plane making an angle θ with the length. What are the tensile and shearing stresses on this plane?

(a) For what angle is the tensile stress a maximum?

(b) For what angle is the shearing stress a maximum?