A wire of length 1 m and radius 2 mm is having the lower end twisted at angle 45 degree. Find angle of shear.
Solution and Explanation
Top Questions on mechanical properties of solids
A wire of uniform resistance \(\lambda\) \(\Omega\)/m is bent into a circle of radius r and another piece of wire with length 2r is connected between points A and B (ACB) as shown in figure. The equivalent resistance between points A and B is_______ \(\Omega\).
- JEE Main - 2026
- Physics
- mechanical properties of solids
- Two wires \(A\) and \(B\) made of different materials have lengths \(6.0\) cm and \(5.4\) cm, and areas of cross-sections \(3.0\times10^{-5}\,\text{m}^2\) and \(4.5\times10^{-5}\,\text{m}^2\), respectively. They are stretched by the same magnitude under the same load. If the ratio of Young’s modulus of \(A\) to that of \(B\) is \(x:3\), find the value of \(x\).
- JEE Main - 2026
- Physics
- mechanical properties of solids
- Two wires of cross sectional area \(1 \text{ cm}^2\) and \(2 \text{ cm}^2\) and lengths 20 cm and 30 cm are connected to the same load. If their extensions are same, find the ratio of their Young's modulus :
- JEE Main - 2026
- Physics
- mechanical properties of solids
The stress v/s strain graph of a material is as shown. Find the Young's modulus of the material.
- JEE Main - 2026
- Physics
- mechanical properties of solids
- Figure beside represents strain versus stress graph for four materials $A, B, C$ and $D$. Which material has maximum Young's modulus?
- JEE Main - 2026
- Physics
- mechanical properties of solids
Questions Asked in AP EAMCET exam
Which of the following are ambident nucleophiles?
[A.] CN$^{\,-}$
[B.] CH$_{3}$COO$^{\,-}$
[C.] NO$_{2}^{\,-}$
[D.] CH$_{3}$O$^{\,-}$
[E.] NH$_{3}$- AP EAMCET - 2024
- Acids and Bases
- The correct sequence of enzymes involved in the commercial production of ethanol by fermentation from sugar is:
- AP EAMCET - 2024
- Acids and Bases
- At 298 K, the ionization constant of \( {CN}^- \) is \( 2.08 \times 10^{-6} \). What is the ionization constant of its conjugate acid? (Given \( K_w = 10^{-14} \))
- AP EAMCET - 2024
- Acids and Bases
Identify the anomers from the following.
- AP EAMCET - 2024
- Acids and Bases
The standard Gibbs free energy change \( \Delta G^\circ \) of a cell reaction is \(-301 { kJ/mol}\). What is \( E^\circ \) in volts?
(Given: \( F = 96500 { C/mol}\), \( n = 2 \))- AP EAMCET - 2024
- Acids and Bases
Concepts Used:
Stress and Strain
Stress and Strain are the terms in physics, which are used to explain deformation of solids.
What is Stress?
Force applied per unit area is known as stress.
- σ=F/A
- σ is stress applied
- F is force applied
- A is that the area of force applied
- Stress is measured by unit N/m2
What is Strain?
As a result of stress, change of shape is observed in the body. The change or deformity consequential to the stress acting on the body is called strain. Strain can be defined as the amount or measure of deformity that takes place due to the force applied on the object.
Strain is denoted with (ε). It has no units.
Longitudinal Strain = Δ L/L
Relation Between Stress and Strain
The English scientist Robert Hooke, while studying spring and elasticity, noticed that many materials displayed an identical property when the stress-strain relationship was studied. There exists a linear region where the force required to stretch the material was proportional to the extension of the material; this is called Hooke’s law. Mathematically, the law is presented as:
F = -k.x
Where, F = the force
x = the extension length
k = spring constant in N/m