One end of a nylon rope of length 4.5 m and diameter 6 mmis fixed to a tree limb. A monkey weighing 100 N jumps to catch the free end and stays there. Find the elongation of the rope and the corresponding change in the diameter. Young modulus of nylon =0.2.

One end of a wire 2 m long and dameter 2 mm is fixed in a celling . A naughty boy of mass 10 kg jumps to catch the free end and stays, there. The chamge is length of wire is (Take r = 10 m//s^(2), Y= 2 xx 10^(11) N//m^(2) )

A uniform steel wire of length 3.14 m and diameter 2xx10^(-3) m is fixed at its upper end. When a mass of 10 kg is attached to its lower end, the extension of the wire is 1xx10^(-3) m. The Young's modulus of elasticity is,

A body of mass 3.14 kg is suspended from one end of a non uniform wire of length 10m, such that the radius of the wire is changing uniformly from 9.8xx10^(-4) m at one end to 5xx10^(-4) m at the other end. Find the change in length of the wire in mm. Young's modulus of the material of the wire is 2xx10^(11)N//m^(2) (mass of wire is negligible)

A steel wire of length 4 m and diameter 5 mm is strethed by 5 kg-wt. Find the increase in its length, if the Young's modulus of steel is 2xx10^(12) dyne cm^(2)

A steel wire of length 4 m and diameter 5 mm is stretched by kg-wt. Find the increase in its length if the Young's modulus of steel wire is 2.4 xx 10^(12) dyn e cm^(-2)

A horse is tied to a rope of length 5 m and the order end of the rope is tied to a pole, find the displacement and the distance travelled by the horuse in the following cases. i. When the horse makes half revolution along a circular path. ii. when it markes one full revolution. iii. when it makes 3/4 th of the revolution.

A rod of length 6 m has specific gravity rho (= 25//36) . One end of the rod is tied to a 5 m long rope, which in turn is tied to the floor of a pool 10 m deep, as shown. Find the length (in m ) of the part of rod which is out of water.

The Young's modulus of a rope of 10 m length and having diameter of 2 cm is 20xx10^(11) dyne cm^(-2) . If the elongation produced in the rope is 1 cm, the force applied on the rope is

A rope of length of 2m is tied between two ends . If the speed of transverse waves propagating in the rope is 4 m s^(-1) and the tension in the rope is 2 N , find the mass of the rope is C.G.S units .