Compressive and Tensile Forces

Plot and characterise the force-displacement graph for a spring.

Draw the force-displacement graph for a spring.

What is meant by compressive stress?

A rod of length $1000 \mathrm{mm}$ and coefficient of linear expansion $\alpha ={10}^{-4}$ per degree is placed symmetrically between fixed walls separated by $1001 \mathrm{mm}$. Young's modulus of the rod is ${10}^{11}\mathrm{N} {\mathrm{m}}^{-2}$. If the temperature is increased by $20°\mathrm{C},$ then the stress developed in the rod is (in $\mathrm{N} {\mathrm{m}}^2$)

A cast iron $\mathrm{T}$ section beam is subjected to pure bending for maximum compressive stress to be $3$ times the maximum tensile stress, centre of gravity of the section from flange side is _________.

What will be the unit of compressive stress?

For keeping the stress wholly compressive the load may be applied on a circular column anywhere within a concentric circle of diameter-

A uniform rod of mass m and length ℓ is rotating with constant angular velocity ω about an axis which passes through its one end and perpendicular to the length of rod. The area of cross section of the rod is A and its Young's modulus is Y. Neglect gravity. The strain at the mid point of the rod is :

A substance breaks down by a stress of ${10}^6 \mathrm{N} {\mathrm{m}}^{-2}$. If the density of the material of the wire is $3\times {10}^3 \mathrm{kg} {\mathrm{m}}^{-3}$, then the length of the wire of the substance which will break under its own weight when suspended vertically, is

A weight of $W_1$ is suspended from one end of a uniform wire of length $L$ and of weight $W$. And the other end is attached rigidly to a point in the roof. Find the stress in the wire at a height $\frac{L}{4}$ from its lower end, if $s$ is the area of cross-section of the wire.

On which aspect does the breaking stress of a wire depends upon

A uniform wire of length $L$ and of weight $W$ is suspended rigidly to the roof from its one end and a weight $W_1$ is suspended from its lower free end. If area of cross-section of the wire is $S$, Find the stress in the wire at a height $\frac{3L}{4}$ from its lower end:

Which of the following is compound?

A steel rod of length $1$ $\mathrm{m}$ and radius $10$ $\mathrm{mm}$ is stretched by a force $100$ $\mathrm{k}$$\mathrm{N}$ along its length. The stress produced in the rod is: (${\mathrm{Y}}_{\mathrm{Steel}}$ = $2\times {10}^{11}\mathrm{ }\mathrm{N}\mathrm{ }{\mathrm{m}}^{–2}$ )

A wire is suspended from the ceiling and stretched under the action of the weight $\mathrm{F}$ suspended from its other end. The force exerted by the ceiling on it is equal and opposite of the weight.

If the Compressibility of water is $\mathrm{\sigma }$ per unit atmosphere pressure, then the decrease in volume (V) due to atmospheric pressure P will be-

A rope 1cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is

Which of the following rods of same material undergoes maximum elongation when subjected to a given force?

Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown in figure. The breaking stress of the metal is $2\times {10}^9 {\mathrm{N}\mathrm{m}}^{-2}$. What should be the minimum radius of the wire used if it is not to break? Take $g=10 {\mathrm{m}\mathrm{s}}^{-2}$ stress = force/Area

A uniform rod of mass $m$ and length $l$ is rotating with constant angular velocity $\omega$ about an axis which passes through its one end and is perpendicular to the length of rod. The area of cross section of the rod is $A$ and its Young's modulus is $Y$. Neglect gravity. The stress at the midpoint of the rod is: