
A uniform rod of mass , length , area of cross section is rotated about an axis passing through one of its ends and perpendicular to its length with constant angular velocity in a horizontal plane. If is the Young's modulus of the material of the rod, the increase in its length due to rotation of rod is


Important Questions on Mechanical Properties of Solids
A circular wire of radius , placed on a horizontal surface is made to rotate about a fixed vertical axis passing through its center as shown. If breaking stress of the material of wire is , then find maximum value of so that wire does not break (Cross-sectional area of wire is is the linear mass density of wire)

Consider an arrangement shown in the diagram which is combination of two rods (1) and (2). Their length, cross-sectional area and Young's modulus are shown in diagram. If force is applied at end of rod (2), then total elongation of combined system is is the common end of rod (1) and (2)

Consider a metal rod shown in figure. Two forces are applied at the ends of the rod. Find displacement of point

A metallic rod of cross-sectional area is subjected to equal and opposite tensile forces at its ends as shown in figure. Consider a plane making an angle as indicated in figure. For what value of $\theta$ is the shearing stress on plane is maximum?

A uniform rod of length , area of cross-section and Young's modulus is lying at rest under the action of three forces as shown.
Select the correct alternatives.

Two thin wires and of equal length and equal cross-sectional area and masses and respectively are joined end to end and suspended as shown in the figure. Wires and have Young's modulus and respectively. The total elongation in the combined wire is


