Questions in Mechanical Properties of Solids

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A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be
A rod of length l and radius r is joined to a rod of length l/2 and radius r/2 of same material. The free end of small rod is fixed to a rigid base and the free end of larger rod is given a twist of $\theta {}^\circ $, the twist angle at the joint will be
Shearing stress causes change in
If the potential energy of a spring is V on stretching it by 2 cm, then its potential energy when it is stretched by 10 cm will be
The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is
Calculate the work done, if a wire is loaded by $Mg$ weight and the increase in length is $l$
Two wires of same diameter of the same material having the length $l$ and $2l$. If the force $F$ is applied on each, the ratio of the work done in the two wires will be
A 5 metre long wire is fixed to the ceiling. A weight of 10 kg is hung at the lower end and is 1 metre above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretching is
If the force constant of a wire is $K$, the work done in increasing the length of the wire by $l$ is

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