Question:
Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of cross-sectional area A of the wire is:
Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of cross-sectional area A of the wire is:
Updated On: Mar 27, 2025
- Zero
- \(\frac{2W}{A}\)
- \(\frac{W}{A}\)
- \(\frac{W}{2A}\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Approach Solution - 1
The longitudinal stress at any point of cross-sectional area A of the wire is \(\frac{W}{A}\).
Stress is defined as the force acting on a material per unit area. In this case, the force acting on the wire is the weight W, and the cross-sectional area of the wire is A. Therefore, the stress can be calculated as stress = force/area.
In this scenario, the weight W is acting downward, creating tension in the wire. The force is distributed over the cross-sectional area A, so the stress is \(\frac{W}{A}\).
Was this answer helpful?
31
11
Hide Solution
Verified By Collegedunia
Approach Solution -2
Stress =\( \frac{IRF}{A}\)
Stress =\( \frac{W}{A}\)
(here a cross-sectional area)
Was this answer helpful?
13
26
Top Questions on mechanical properties of solids
- The two wires A and B of the same material have their lengths in the ratio 1 : 2 and their diameters in the ratio 2 : 1. If they are stretched with the same force, the ratio of the increase in the length of A to that of B will be:
- OJEE - 2024
- Physics
- mechanical properties of solids
- A light ladder is supported on a rough floor and leans against a smooth wall, touching the wall at height \( h \) above the floor. A man climbs up the ladder until the base of the ladder is on the verge of slipping. The coefficient of static friction between the foot of the ladder and the floor is \( \mu \). The horizontal distance moved by the man is:
- OJEE - 2024
- Physics
- mechanical properties of solids
- Calculate the number density of free carriers in silver, assuming that each atom contributes one carrier. The density of silver is \( 10.5 \times 10^3 \, \text{kg/m}^3 \) and the atomic weight is 107.8.
- OJEE - 2024
- Physics
- mechanical properties of solids
- The source of energy in the Sun is:
- OJEE - 2024
- Physics
- mechanical properties of solids
- A light string passing over a smooth light pulley connects two blocks of masses \( m_1 \) and \( m_2 \) (where \( m_2>m_1 \)). If the acceleration of the system is \( \frac{g}{\sqrt{2}} \), then the ratio of the masses \( \frac{m_1}{m_2} \) is:
- BITSAT - 2024
- Physics
- mechanical properties of solids
View More Questions
Questions Asked in NEET exam
- Given below are two statements :
Statement I : In the nephron, the descending limb of loop of Henle is impermeable to water and permeable to electrolytes.
Statement II : The proximal convoluted tubule is lined by simple columnar brush border epithelium and increases the surface area for reabsorption.
In the light of the above statements, choose the correct answer from the option given below :- NEET (UG) - 2024
- Nephrons
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector\(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :- NEET (UG) - 2024
- Magnetic Field
- \(^{290}_{82}X\stackrel{\alpha}{\rightarrow}Y\stackrel{e^+}{\rightarrow}Z\stackrel{\beta^-}{\rightarrow}P\stackrel{e^-}{\rightarrow}Q\)
In the nuclear emission stated above, the mass number and atomic number of the product Q respectively, are :- NEET (UG) - 2024
- Nuclear physics
- In an ecosystem if the Net Primary Productivity (NPP) of first trophic level is 100x (kcal m-2)yr-1, what would be the GPP (Gross Primary Productivity) of the third trophic level of the same ecosystem?
- NEET (UG) - 2024
- Ecosystems
The output (Y) of the given logic gate is similar to the output of an/a :
- NEET (UG) - 2024
- Digital Electronics and Logic Gates
View More Questions
Concepts Used:
Mechanical Properties of Solids
Mechanical properties of solids intricate the characteristics such as the resistance to deformation and their strength. Strength is the ability of an object to resist the applied stress, to what extent can it bear the stress.
Therefore, some of the mechanical properties of solids involve:
- Elasticity: When an object is stretched, it changes its shape and when we leave, it retrieves its shape. Or we can say it is the property of retrieving the original shape once the external force is removed. For example Spring
- Plasticity: When an object changes its shape and never attains its original shape even when an external force is removed. It is the permanent deformation property. For example Plastic materials.
- Ductility: When an object is been pulled in thin sheets, wires or plates, it will be assumed that it has ductile properties. It is the property of drawing into thin wires/sheets/plates. For example Gold or Silver
- Strength: The ability to hold out applied stress without failure. Many types of objects have higher strength than others.