List of top Physics Questions on Stress and Strain

A brass wire of length $2\,\text{m}$ and radius $1\,\text{mm}$ at $27^\circ\text{C}$ is held taut between two rigid supports. Initially it was cooled to a temperature of $-43^\circ\text{C}$ creating a tension $T$ in the wire. The temperature to which the wire has to be cooled in order to increase the tension in it to $1.4T$ is ___$^\circ$C.

One end of a steel wire is fixed to the ceiling of an elevator moving up with an acceleration $ 2 \, \text{m/s}^2 $ and a load of 10 kg hangs from the other end. If the cross-section of the wire is $ 2 \, \text{cm}^2 $, then the longitudinal strain in the wire will be (Take $ g = 10 \, \text{m/s}^2 $ and $ Y = 2.0 \times 10^{11} \, \text{N/m}^2 $).

Two blocks of mass $2 \, \text{kg}$ and $4 \, \text{kg}$ are connected by a metal wire going over a smooth pulley as shown in the figure. The radius of the wire is $4.0 \times 10^{-5} \, \text{m}$ and Young's modulus of the metal is $2.0 \times 10^{11} \, \text{N/m}^2$. The longitudinal strain developed in the wire is $\frac{1}{\alpha \pi}$. The value of $\alpha$ is _____. [Use $g = 10 \, \text{m/s}^2$]

The Young's modulus of a steel wire of length $6 m$ and cross-sectional area $3 \,mm ^2$, is $2 \times 10^{11}$ $N / m ^2$. The wire is suspended from its support on a given planet A block of mass $4 kg$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth The elongation of wire is (Take $g$ on the earth $=10\, m / s ^2$) :

A force is applied to a steel wire ' $A$ ', rigidly clamped at one end As a result elongation in the wire is $02\, mm$ If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $24$ times that of the wire ' $A$ ', the elongation in the wire ' $B$ ' will be (wires having uniform circular cross sections)

The equivalent resistance between A and B is _________.

The velocity of upper layer of water in a river is $36\ kmh^{–1}$. Shearing stress between horizontal layers of water is $10^{–3} Nm^{–2}$. Depth of the river is ______ m. (Co-efficient of viscosity of water is $10^{–2} Pa.s$)

Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δ x on applying force F, how much force is needed to stretch wire 2 by the same amount?

A steel wire of length L at 40°C is suspended from the ceiling and carries a mass m from its free end. The wire is cooled from 40°C to 30°C to regain its original length L. The coefficient of linear expansion is 10⁻⁵/°C, Young’s modulus of steel is 10¹¹ N m⁻², and the radius of the wire is 1 mm. The value of m in kg is nearly

Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area A and wire 2 has cross-sectional area 3A. If the length of wire 1 increases by Δ x on applying force F, how much force is needed to stretch wire 2 by the same amount?

The load versus elongation graph for four wires is shown. The thinnest wire is:

Two blocks of masses $m$ and $M$ are connected by means of a metal wire of cross-sectional area $A$ passing over a frictionless fixed pulley as shown in the figure. The system is then released. If $M \,= \,2 m$, then the stress produced in the wire is:

A cube is subjected to a uniform volume compression. If the side of the cube decreases by 2%, the bulk strain is a

The Young's modulus of a perfectly rigid body is:

Two wires of same material and same volume have cross-sectional areas A and 2A. If the first wire is elongated by Δ x under force F, the force required to stretch the second wire by the same amount is:

An iron rod of length 2 m and cross-sectional area 50 mm² is stretched by 0.5 mm by hanging a mass of 250 kg. The Young’s modulus of iron is:

The upper end of a wire of diameter 12 mm and length 1 m is clamped and its other end is twisted through an angle of 30^. The angle of shear is

Four identical hollow cylindrical columns of mild steel support a big structure of mass 50,000 kg. The inner and outer radii of each column are 30 and 60 cm respectively. Assuming the load distribution to be uniform, calculate the compressional strain of each column.

A piece of copper having a rectangular cross-section of 15.2 mm × 19.1 mm is pulled in tension with 44,500 N force, producing only elastic deformation. Calculate the resulting strain?

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 ?