A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its temeprature increass by `DeltaT`. The net change in its length is zero. Let l be the length of the rod, A its area of cross-section, Y its Young's modulus, and `alpha` its coefficient of linear expansion. Then, F is equal to
A rod of length L kept on a smooth horizontal surface is pulled along its length by a force F. The area of cross-section is A and Young's modulus is Y. The extension in the rod is
A metal rod of length l, cross-sectional area A, Youngs 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 thin rod of negligible mass and area of cross section S is suspended vertically from one end. Length of the rod is L_(0) at T^(@)C . A mass m is attached to the lower end of the rod so that when temperature of the rod is reduced to 0^(@)C its length remains L_(0) Y is the Young’s modulus of the rod and alpha is coefficient of linear expansion of rod. Value of m is :
A wooden wheel of radius R is made of two semicircular part . The two parts are held together by a ring made of a metal strip of cross sectional area S and length L. L is slightly less than 2piR . To fit the ring on the wheel, it is heated so that its temperature rises by DeltaT and it just steps over the wheel. As it cools down to surrounding temperature, it process the semicircle parts together. If the coefficient of linear expansion of the metal is alpha , and it Young's modulus is Y, the force that one part of the wheel applies on the other part is :
Young's modulus for a wire of length L and area of cross-section A is Y. What will be Young's Modulus for wire of same material, but half its original length and double its area?
A metallic rod of length 'L' and cross-section 'A' has Young's modulus 'Y' and coefficent of linear expansion 'alpha' . If the rod is heated to a temperature. 'T' the energy stored per unit volume is:
on heating a cylindrical metallic rod, its length increases by 2% . Then area of cross section of rod will
A rod PQ of length L revolves in a horizontal plane about the axis YY´. The angular velocity of the rod is w. If A is the area of cross-section of the rod and r be its density, its rotational kinetic energy is
