Home
Class 12
PHYSICS
A perfectly straight protion of a unifor...

A perfectly straight protion of a uniform rope has mass `M` and length `L` . At end `A` of the segment, the tension in the rope is `T_(A)` and at end `B` it is `T_(B)(T_(B)gtT_(A)`) . Neglect effect of gravity and no contact force acts on the rope in between points `A` and `B` . The tension in the rope at a distance `L//5` from end `A` is.

A

`T_B-T_A`

B

`((T_A+T_B))/(5)`

C

`((4T_A+T_B))/(5)`

D

`((T_A-T_B))/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C

The F.B.D. of section of rope between A and B having acceleration a towards left is
Applying Newton's second law on section AB and section AC of rope we get
`T_B-T_A=Ma` and `T_C-T_A=(M)/(5)a`
Solving `T_C=(T_B+4T_A)/(5)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A perfectly straight portion of a uniform rope has mass M and length L. At end A of the segment, the tension in the rope is T_(A) and at end B it is T_(B) (T_(B) gt T_(A) ) . Neglect effect of gravity and no contact force acts on the rope in between points A and B. The tension in the rope at a distance L/5 from end A is:-

A uniform rope of length L is pulled by a constant force F. What is the tension in the rope at a distance l from the end where it is applied?

A uniform rope of length L is pulled by a constant force F. What is the tension in the ropww at a distance l from the end where it is applied?

A straight rope of length 'L' is kept on a frictionless horizontal surface and a force 'F' is applied to one end of the rope in the direction of its length and away from that end. The tension in the rope at a distance 'I from that end is 9

A uniform rope of length of length L is pulled by a force F on a smooth surface. Find tension in the rope at a distance x from the end where force is applied.

A pulse is generated at lower end to a hanging rope of uniform density and length L. The speed of the pulse when it reaches the mid point of rope is

A rope of length 5 m is kept on frictionless surface and a force of 5 N is applied to one of its end. Find the tension in the rope at 1 m from this end

A uniform rope of mass m and length L is attached to the ceiling of a lift. The other end of the rope is attached to a block of mass M . The lift is moving up with a constant acceleration a_(0) . Find the tension in the rope at a distance x from the ceiling as shown in the diagram.