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

Is stress a vector quantity ?

A thick wire is suspended from a rigid support, but no load is attached to its free end. Is this wire under stress ?

Which type of strain is there, when a spiral spring is stretched by a force ?

What does the slope of stress versus strain graph indicate ?

What is the Young's modulus for a perfect rigid body?

What is Bulk modulud for a perfectly rigid body?

The star Sirius has a mass of 7 x 10³⁰ kg, its distance from the earth is 8x10^16m and the mass of the earth is 6 x 10²⁴kg. Calculate the cross-section of a steel cable that can withstand the gravitational pull between the Sirius and the earth. Given G = 6.67 x 10^-11Nm²kg^-2 and breaking stress = 10¹⁰ Nm^-2

A solid sphere of radius R made of a material of Bulk modulus B is surrounded by a liquid in a cylindrical container. A massless piston of area A flots on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, find fractional change in the redius of the sphere.

A uniform pressure p is exerted on all sides of a solid cube at temperature t⁰C.By what amount should the temperature of the cube raised in order to bring its volume back to the volume it had before the pressure was applied, if the Bulk modulus and coefficient of volume expansion of the material B are \(\gamma \) and respectively.

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 m^–2, what is the maximum load the cable can support ?

Find the change in volume which 1cc of water at the surface will undergo, when it is taken to the bottom of the lake 100m deep, given that volume elasticity is 22000 atmospheres.

Two wires made of same material are subjected to forces in the ratio 1 : 4. Their lengths are in the ratio 2 : 1 and diameters in the ratio 1 : 3. What is the ratio of their extensions ?

A solid sphere of radius R made of a material of bulk modulus B is surrounded by a liqiud in a cylindrical container. A massless piston of area  A floats on the surface of the liqiud. When a mass M is placed on the piston on the piston to compress the liqiud, find fractiional change in the radius of the sphere?

Determine the fractional change in volume as the pressure of the atmosphere 1.0 x 10⁵ Pa around a metal block is reduced to zero by placing the block in vacuum. The Bulk modulus for the block is 1.25 x 10¹¹ Nm^-2

The stress-strain graphs for materials A and B are shown in Fig. (a) and Fig. (b).

The graphs are drawn to the same scale.
(a) Which of the materials has the greater Young’s modulus?
(b) Which of the two is the stronger material?

Identical springs of steel and copper are equally stretched.On which, more work will have to be done?

Anvils made of single crystals of diamond, with the shape as shown in figure are used to investigate the behaviour of materials under very high pressure. Flat faces at the narrow end of the anvil have a diameter of 0.50 mm and the wide en are subjected to a compressional force of 50000 N. What is the pressure at the tip of the anvil?

A bar of cross-section A is subjected to equal and opposite tensile forces at its ends. Consider a plane section of the bar whose normal makes an angle 8 with the axis of the bar.
(i) What is the tensile stress on this plane?
(ii) What is the shearing stress on this plane?
(iii) For what value of 8 is the tensile stress maximum?
(iv) For what value of e is the shearing stress maximum?                   

A mild steel wire of length 1m and cross-sectional area 0.5 x 10^-2 cm² is stretched, well within its elastic limit, horizontally between two pillars. Amass of 100 g is suspended from the mid-point of the wire. Calculate the depression at the mid-point. Given Young's modulus for steel (Y_s) = 2\(\times \) 10¹¹ Pa

What is the length of a wire that breaks under its own weight when suspended vertically? Breaking stress = 5 x 10⁷ Nm^-2 and density of the material of the wire = 3 x 10³ kg/m³

The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

Two wires of diameter 0.25 cm, one made of steel and the other made of brass are loaded as shown in Fig.. The unloaded length of steel wire is 1.5 m and that of brass wire is 1.0 m. Compute the elongations of the steel and the brass wires.