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`.
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
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