Home
Class 11
PHYSICS
A light rod AC of length 2.00 m is suspe...

A light rod AC of length 2.00 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section `10^(-3) m^(2)` and the other is of brass of cross-section `2xx10^(-3) m^(2)`. The position of point D from end A along the rod at which a weight may be hung to produce equal stress and strain in both the wires is [Young's modulus of steel is `2xx10^(11) Nm^(2)` and for brass is `1xx10^(11) Nm^(-2)`]

Text Solution

Verified by Experts

The correct Answer is:
`(4)/(3)` m from steel wire
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Surface Tension)|5 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 4 A (Fluid Statics)|13 Videos

  • ELASTICITY, SURFACE TENSION AND FLUID MECHANICS

    ALLEN |Exercise Exercise 3 (Comprehension based questions)|23 Videos

  • CENTRE OF MASS

    ALLEN |Exercise EXERCISE-V B|19 Videos

  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos

Similar Questions

Explore conceptually related problems

A 2 m long light metal rod AB is suspened form the c eiling horizontally by means of two vertices wires of equal length, tied to the ends. One brass and has corss section of 0.3xx10^(-4)m^(2) and the other is of steel with 0.1xx10^(-4)m^(2) corss-section. In order to have equal stresses in the two wires, a weight is hung from the rod. The position of weight along the rod from end A should be : ltimg src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/ALN_RACE_R64_E01_011_Q01.png" width="80%"gt

What is the self inductance of a solenoid of length 31.4 cm., area of cross section 10^(-3) m^2 and total number of turns 10^3 ?

A rod of length 1.05 m having negligible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in figure. The cross-sectional areas of wires A and B are 1.0 mm^(2) and 2.0 mm^(2), respectively. At what point along the rod should a mass m be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires.

Speed of transwerse wave of a straight wire having mass 6.0g length 60cm and area of cross- section 1.0 mm^(2) is 90 m/s. If the Young's modulus of wire is 1.6 xx 10^(11) Nm^(-2) , the extension of wire over its natural length is

A structural steel rod has a radius of 10 mm and a length of 1.0 m. A 100 KN force stretches it along its length. Calculate a stress, (b) elongation and (c) strain on the rod. Young's modulus of structural steel is 2.0xx 10 ^(11) Nm^(-2).

A steal wire of cross-section area 3xx10^(-6) m^(2) can withstand a maximum strain of 10^(-3) .Young's modulus of steel is 2xx10^(11) Nm^(-2) .The maximum mass this wire can hold is

A structural steel rod has a radius 10 mm and a length of 2.0 m . A force 100 KN stretches it along its length. Calculate (a) Stress (b) Elongation and (c ) Strain on the rod. Young's modulus of structural steel is 2.0 xx 10 ^(11) Nm ^(-2).

A steel wire of length 4.7 m and cross-sectional area 3.0 xx 10 ^(-5) m ^(2) stretches by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 xx 10 ^(-5) m ^(2) under a given load. What is the ratio of the Young's modulus of steel to that of copper ?

Work done in stretching a wire of length 1 m and of cross-sectional area 1 mm^(2) through 2 mm if Young's modulus of the material of the wire is 2 xx 10 ^(11) N//m^(2) is .......

A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.