A rubber string of mass m and rigidity k is suspended at one end. Determine the elongation `Delta l` of the string.

A rubber string 10m long is suspended from a rigid support at its one end. Calculate the extension in the string due to its own weight. The density of rubber is 1.5xx10^(3) and Young's modulus for the rubber is 5xx10^(6)Nm^(-2) Take g=10Nkg^(-1) .

A uniform rod of mass and length l is suspended by two strings at its ends shown. When one of the strings is cut, the rod starts falling with an initial angular acceleration.

A uniform rod of length l and mass m is hung from, strings of equal length from a ceiling as shown in figure. Determine the tensions in the strings?

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

A smooth rubber cord of length l whose coefficient of elasticity is k is suspended by one end from the point O (figure). The other end is fittetd with a catch B. A small sleeve A of mass m starts falling from the point O. Neglecting the masses of the thread and the catch, find the maximum elongation of the cord.

A string of mass per unit length mu is clamped at both ends such that one end of the string is at x = 0 and the other is at x =l . When string vibrates in fundamental mode, amplitude of the midpoint O of the string is a, tension in a, tension in the string is T and amplitude of vibration is A. Find the total oscillation energy stored in the string.

A wave pulse is generated at the bottom of a uniform string (of mass m and length l ) Suspended from ceiling and supporting a block (of mass m ) as shown.