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.

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The correct Answer is: $V / 2$

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Updated on:21/07/2023

Class 11 PHYSICS RECTILINEAR MOTION

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

A $3 / 2 m / s ↑ ⏐$
B $3 / 2 m / s ⏐ ↓$
C $1 / 2 m / s ↑ ⏐$
D $1 / 2 m / s ⏐ ↓$
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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 $\frac{W}{2}$
B $\frac{W}{4}$
C $\frac{W}{3}$
D $\frac{2 W}{3}$
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A uniform rope having linear density $λ$ 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
A $\frac{4 μ_{0}}{g}$
B $\frac{2 \sqrt{2} V_{0}}{g}$
C $\frac{2 \sqrt{2} V_{0}^{2}}{λ g}$
D $\frac{2 \sqrt{2} V_{0}}{λ g}$
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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)
A $4 : 3$
B $1 : 4$
C $1 : 2$
D $1 : 3$
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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 $λ_{0}$ is produced at the lower of the rope.

The wavelength of the pulse when it reaches the other end of the rope is :
A $\sqrt{3} λ_{0}$
B $\sqrt{\frac{3}{2}} λ_{0}$
C $λ_{0}$
D $\frac{λ_{0}}{2}$

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.

The correct Answer is: $V / 2$

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Knowledge Check

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 rope having linear density $λ$ 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

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 $λ_{0}$ is produced at the lower of the rope.

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

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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.

The correct Answer is: V / 2

Related Playlists

Knowledge Check

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 rope having linear density λ hangs vertically from the ceiling and its lower end is free. A disturbance produced at the free end has a speed v0 at point P midway on the rope . Then the time taken by the disturbance pulse to reach the ceiling is

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 λ0 is produced at the lower of the rope. The wavelength of the pulse when it reaches the other end of the rope is :

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ARIHANT-KINEMATICS-Level 2

The correct Answer is: $V / 2$

A uniform rope having linear density $λ$ 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

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 $λ_{0}$ is produced at the lower of the rope.

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