Home
Class 12
PHYSICS
A uniform rope of mass (m) and length (L...

A uniform rope of mass (m) and length (L) placed on frictionless horizontal ground is being pulled by two forces `F_(A) and F_(B)` at its ends as shown in the figure. As a result, the rope accelerates toward the right.

Expression `T_(x)` of tension at a point at distance x from the end A is

A

`T_(x)=((F_(B)-F_(A))/(L))x+F_(A)`

B

`T_(x)=((F_(B)-F_(A))/(L))x-F_(A)`

C

`T_(x)=((F_(B)-F_(A))/(L))x+F_(B)`

D

`T_(x)=((F_(B)-F_(A))/(L))x-F_(B)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (O-2)|31 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JM)|6 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (S-2)|9 Videos

  • MOTION IN A PALNE

    ALLEN|Exercise SOLVED EXAMPLE|28 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

Similar Questions

Explore conceptually related problems

A uniform rope of mass (m) and length (L) placed on frictionless horizontal ground is being pulled by two forces F_(A) and F_(B) at its ends as shown in the figure. As a result, the rope accelerates toward the right. Acceleration (A) of the rope is

A uniform rope of mass (m) and length (L) placed on frictionless horizontal ground is being pulled by two forces F_(A) and F_(B) at its ends as shown in the figure. As a result, the rope accelerates toward the right. Tension (T) at the mid point of the pore is

A uniform rod of mass M and length L lies flat on a frictionless horizantal surface. Two forces F and 2F are applied along the length of the rod as shown. The tension in the rod at point P is

A uniform rope of length L, resting on a frictionless horizontal table is pulled at one end by a force F. What is the tension in the rope at a distance x form the end where the force is applied?

A horizontal uniform rope of length L, resting on a frictionless horizontal surface, is pulled at one end by force F. What is the tension in the rope at a distance l from the end where the force is applied?

A uniform rod of mass m and length L is kept on a horizontal table with L/4 length on the table as shown in figure. As the string attached to the end B is cut, the angular acceleration of the rod about point C will be

A plank of mass 2m and length L is al rest on a frictionless horizontal floor At one end of it, a child of mass m is standing as shown in figure If child walks and reaches the other and then the distance travelled by child wrt ground will be

A rod of length L and mass M is acted on by two unequal force F_(1) and F_(2) ( lt F_(1)) as shown in the following figure. The tension in the rod at a distance y from the end a is given by

A block of mass M is being pulled with the help of a string of mass m and length L. the horizontal force applied by the man on the string is F. Determine (a) Find the force exerted by the string on the block and acceleration of system. (b) Find the tension at the mid point of the string. (c ) Find the tension at a distance x from the end at which force is applied. Assume that the block is kept on a frictionless horizontal surface and the mass is uniformly distributed in the string.

A thin uniform bar of mass m and length 2L is held at an angle 30^@ with the horizontal by means of two vertical inextensible strings, at each end as shown in figure. If the string at the right end breaks, leaving the bar to swing, determine the tension in the string at the left end and the angular acceleration of the bar immediately after string breaks.

ALLEN-NEWTON'S LAWS OF MOTION & FRICTION-EXERCISE (O-1)
  1. A system is pushed by a force F as shown in figure All surfaces are sm...

    Text Solution

    |

  2. Refer the system shown in the figure. Block is siding down the wedge. ...

    Text Solution

    |

  3. A block of mass 1 kg is held at rest against a rough vertical surface ...

    Text Solution

    |

  4. A block is kept on a rough horizontal surface as shown. Its mass is 2 ...

    Text Solution

    |

  5. The mass in the figure can slide on a frictionless surface. When the m...

    Text Solution

    |

  6. A carpenter of mass 50 kg is standing on a weighing machine placed in ...

    Text Solution

    |

  7. In the system in the figure m(1)gtm(2) system is held at rest by threa...

    Text Solution

    |

  8. A uniform rope of mass (m) and length (L) placed on frictionless horiz...

    Text Solution

    |

  9. A uniform rope of mass (m) and length (L) placed on frictionless horiz...

    Text Solution

    |

  10. A uniform rope of mass (m) and length (L) placed on frictionless horiz...

    Text Solution

    |

  11. Ratio of amplitude for two wave is 1:5 .Find the ratio of maximum ampl...

    Text Solution

    |

  12. The figure shown blocks A and B are mass 2 kg and 8 kg and they are co...

    Text Solution

    |

  13. The figure shown blocks A and B are mass 2 kg and 8 kg and they are co...

    Text Solution

    |

  14. Ratio of amplitude for two wave is 1:5.Find the ratio of maximum Inten...

    Text Solution

    |

  15. The blocks are on frictionless inclined ramp and connected by a massle...

    Text Solution

    |

  16. The blocks are on frictionless inclined ramp and connected by a massle...

    Text Solution

    |

  17. The blocks are on frictionless inclined ramp and connected by a massle...

    Text Solution

    |

  18. In the diamram shown in figure , match the following (g=10m//s^(2)) ...

    Text Solution

    |

  19. Match the situations in column I to the accelerations of blocks in the...

    Text Solution

    |

  20. A sphere of mass 10 kg is placed in equibrium in a V shaped groove pla...

    Text Solution

    |