One end of a rope is fixed at a point on the ceiling the other end is held close to the first end so that the rope is folded. The second end is released from this position. Find the speed at which the fold at F is descending at the instant the free end of the rope is going down at speed V.

Find the velocity of the hanging block if the velocities of the free ends of the rope are as indicated in the figure.

A uniform rod of length $L$ and weight $W$ is suspended horizontally by two vertical ropes as shown. The first rope is attached to the left end of the rod while the second is attached to the left end of the rod while the second rope is attached a distance $L/4$ from the right end. The tension in the second rope is.
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A man of height $h_0=2m$ is bungee jumping from a platform situated at a height h = 25 m above a lake One end of an elastic rope is attached to his foot and the other end is fixed to the platform He starts falling from rest in vertical position. The length and elastic properties of the rope are chosen so that his speed will have been reduced to zero at instant when his head reaches the surface of water. Ultimetely the jumper is hanging from the rope with his head 8m above the water. Find the maxima acceleration acheived during the jump in $m/s^2)$

What type of waves are illustrated by the movement of a rope whose one end is fixed to a pole and the other end is moved up and down?

A uniform rope having linear density $\lambda$ hangs vertically from the ceiling and its lower end is free. A disturbance produced at the free end has a speed $v_0$ at point P midway on the rope . Then the time taken by the disturbance pulse to reach the ceiling is

Strings Fixed At One End And Free From Other End

Two particles of equal mass are connected to a rope AB of negligible mass, such that one is at end A and the other dividing the length of the rope in the ratio 1:2 from A.The rope is rotated about end B is a horizontal plane. Ratio of the tensions in the smaller part to the other is (ignore effect of gravity)

Ivan shakes one end of a rope attached to a wall. This produces a wave motion in the rope. He observes that the first peak of the wave reaches the wall in 5 seconds, and a total of 15 peaks are produced in the vibrating rope in 5 seconds. The length of the rope is 3 meters. What is the wavelength of the wave produced in the rope?

A block of mass 2m is hanging at the lower and of a ropeof mass m and length the l, the other end being fixed to the ceililng. A pulse of wavelength ${\lambda }_0$ is produced at the lower of the rope.

The wavelength of the pulse when it reaches the other end of the rope is :

One end of rope is fixed to a vertical wall and other end is pulled by a horizontal force of 20N.The shape of flexible rope is shown in fig. The angle made by tangent at A (fixed point of rope) with downward vertical is 30°. Tension in the string at A in N is 20N