A metallic rod of length l and cross-sec...

A metallic rod of length l and cross-sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y,then the work done is proportional to

`1/y`

`y^2`

`1/y^2`

Text Solution

Verified by Experts

Topper's Solved these Questions

MECHANICAL PROPERTIES OF SOLIDS
AAKASH INSTITUTE ENGLISH|Exercise Assignment(Section-B)|26 Videos
MECHANICAL PROPERTIES OF SOLIDS
AAKASH INSTITUTE ENGLISH|Exercise Assignment(Section-C)|29 Videos
MECHANICAL PROPERTIES OF SOLIDS
AAKASH INSTITUTE ENGLISH|Exercise EXERCISE|20 Videos
MECHANICAL PROPERTIES OF FLUIDS
AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|9 Videos
Mock test 03
AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|44 Videos

Similar Questions

Explore conceptually related problems

A wire of length L and cross-sectional area A is made of a material of Young's modulus Y. IF the wire is stretched by an amount x, the workdone is

A metal rod of length l, cross-sectional area A, Young's modulus Y and coefficient of linear expansion alpha is heated to t^(@)C . The work that can be performed by the rod when heated is

A uniform cylindrical rod of length L and cross-sectional area by forces as shown in figure. The elongation produced in the rod is

A metal rod of length 'L' and cross-sectional area 'A' is heated through 'T'^(@)C What is the force required to prevent the expansion of the rod lengthwise ?

Calculate the compressional force required to prevent the metallic rod of length l cm and cross sectional area Acm^2 when heated through t^@C from expanding lengthwise. Young's modulus of elasticity of the metal is E and mean coefficient of linear expansion is alpha per degree celsius.

A uniform cylindrical rod of length L, cross-section area A and Young's modulus Y is acted upon by the force as shown in Fig. 7(CF).3. The elongation of the rod is

A uniform rod of length l , mass m , cross-sectional area A and Young's modulus Y is rotated in horizontal plane about a fixed vertical axis passing through one end, with a constant angular velocity omega . Find the total extension in the rod due to the tension produced in the rod.

A smooth uniform, string of natural length l , cross-sectional area A and Young’s modulus Y is pulled along its length by a force F on a horizontal surface. Find the elastic potential energy stored in the string.

For most of the material , Young's modulus (Y) and rigidity modulus (G) are related as

A point mass m is suspended at the end of a massless wire of length l and cross section. If Y is the Young's modulus for the wire, obtain the frequency of oscillation for the simple harmonic motion along the vertical line.

AAKASH INSTITUTE ENGLISH-MECHANICAL PROPERTIES OF SOLIDS-Assignment(Section-A)

As shown in figure, by combining together copper and steel wires of sa...
Text Solution
|
Select the correct alternative(s).
Text Solution
|
A metallic rod of length l and cross-sectional area A is made of a mat...
Text Solution
|
The Poisson's ratio of a material is 0.5. If a force is applied to a w...
Text Solution
|
The load versus elongation graph for four wires of the same material i...
Text Solution
|
A uniform heavy rod of weight W, cross sectional area a and length L i...
Text Solution
|
If in case A, elongation in wire of length L is l then for same wire e...
Text Solution
|
In the given figure, if the dimensions of the two wires are same but m...
Text Solution
|
If the Bulk modulus of lead is 8.0xx10^(9)N//m^(2) and the initial den...
Text Solution
|
Two wires A and B of same material have radii in the ratio 2:1 and le...
Text Solution
|
For a given material, the Young's modulus is 2.4 times that of the m...
Text Solution
|
When the temperature of a gas is 20^(@)C and pressure is changed from ...
Text Solution
|
The stress versus strain graphs for wires of two material A and B are ...
Text Solution
|
Hooke's law is applicable for
Text Solution
|
The length of wire, when M(1) is hung from it, is l(1) and is l(2) wit...
Text Solution
|
When a load of 10 kg is suspended on a metallic wire, its length incre...
Text Solution
|
A rod of length / and radius r is held between two rigid walls so that...
Text Solution
|
If the temperature of a wire of length 2 m and area of cross-section 1...
Text Solution
|
The elastic energy stored per units volume in a streched wire is
Text Solution
|
A wire suspended vertically from one of its ends is stretched by attac...
Text Solution
|