Two persons pull a rope towards themselves. Each person exerts a force of on the rope. Find the Young's modulus of the material of the rope if it extends in length by . Original length of the rope and the aea of cross-section .
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What per cent of length of wire increases by applying a stress of weight on it?
and weight newton
Stress .
A metallic rod breaks when strain produced is . The Young's modulus of the material of the rod is . What should be its area of cross-section to support a load of ?
Maximum possible strain
Two wires are made of the same material and have the same volume. However first wire has cross-sectional area and second wire has cross-sectional area . If the length of first wire increases by on applying force , how much force is needed to stretch second wire by the same amount?
Volume i.e., must be constant
Two wires A and B of same material and of equal length with the radii in the ratio are subjected to identical loads. If the length of increases by , then the increase in length of is
Ratio of radii
Ratio of area,
Now, Stress Stress
So, Strain Strain
Increase in length of is .
A steel wire of length and cross section area is stretched by under a given load. When the same load is applied to another steel wire of double its length and half of its cross section area, the amount of stretching (extension) is
Young's modulus of elasticity is
So,
Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area and wire 2 has cross-sectional area . If the length of wire 1 increases by on applying force , how much force is needed to stretch wire 2 by the same amount?
A steel wire and a copper wire of equal length and equal cross-sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of the stresses developed in the two wires and of steel . Y of copper .
1
3
5
7
A steel wire of cross-sectional area can with stand a maximum strain of . Young's modulus of steel is . The maximum mass the wire can hold is:
A structural steel rod has a radius of and length of . A force stretches it along its length. Young's modulus of structural steel is . The percentage strain is about
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