Home
Class 11
PHYSICS
A 0.1 kg mass is suspended from a wire o...

A `0.1 kg` mass is suspended from a wire of negligible mass. The length of the wire is `1 m` and its cross - sectional area is `4.9xx10^(-7) m^(2)`. If the mass is pulled a little in the vertically downward direction and released , it performs `SHM` with angular frequency `140 rad s^(-1)`. If the young's modulus of the material of the wire is ` pxx10^(9) Nm^(-2)`, find the value of `p`.

Text Solution

Verified by Experts

The correct Answer is:
4

`omega=sqrt((YA)/(mL))`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise LC_TYPE|3 Videos
  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Integer type|1 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|11 Videos

Similar Questions

Explore conceptually related problems

Calculate the force required to incrase the length of wire of cross-sectional area 10^(-6) m^(2) by 50% if the Young's modulus of the material of the wire is 90 xx 10^(9) Pa .

(a) A wire 4 m long and 0.3 mm, calculate the potential energy stored in the wire. Young's modulus for the material of wire is 2.0xx10^(11) N//m^(2) .

A force F doubles the length of wire of cross-section a The Young modulus of wire is

Find the percentage increase in length of a wire subjected to a stress of 1 gm. Wt // m m^(2) . Young's modulus of the material of the wire = 100 Gpa.

The area of cross - section of a wire is 1" mm"^(2) and it length is 2 m. How much work will be done to increase its length by 0.1 mm ? The Young.s modulus of elaticity for the material of the wire is 2xx10^(11)" Nm"^(-2) .

If a wire of length 4 m and cross-sectional area of 2 m^(2) is stretched by a force of 3 kN, then determine the change in length due to this force . Given, Young's modulus of material of wire is 110xx10^(9) Nm^(-2)

An object of mass m is suspended at the end of a massless wire of length L and area of cross -section A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

A copper wire of negligible mass, 1 m length and cross-sectional area 10^(-6) m^(2) is kept on a smooth horizontal table with one end fixed. A ball of mass 1 kg is attached to the other end. The wire and the ball are rotating with an angular velocity of 20 rad//s . If the elongation in the wire is 10^(-3) m . a. Find the Young's modulus of the wire (in terms of xx 10^(11) N//m^(2) ). b. If for the same wire as stated above, the angular velocity is increased to 100 rad//s and the wire breaks down, find the breaking stress (in terms of xx 10^(10) N//m^(2) ).

A 1 m long metal wire of cross sectional area 10^(-6)m^(2) is fixed at one end from a rigid support and a weight W is hanging at its other end. The graph shows the observed extension of length Deltal of the wire as a function of W. young’s modulus of material of the wire in SI units is :

A wire of length L and area of cross-section A, is stretched by a load. The elongation produced in the wire is I. If Y is the Young's modulus of the material of the wire, then the force constant of the wire is