Home
Class 12
PHYSICS
A weightless inextensible rope rests on ...

A weightless inextensible rope rests on a stationary wedge forming an angle `alpha` with a horizontal One end of the rope is fixed to the wall to point A.A small load is attached to the rope at point `B` The wedge starts moving to the right with a constant acceleration a The acceleration of the load is given by
.

A

a

B

`2a sin alpha`

C

`2a sin (alpha)/(2)`

D

`g sin alpha`

Text Solution

Verified by Experts

The correct Answer is:
C
Net acceleration of load
`=2 a cos ((pi-alpha)/(2))=2 a sin ((alpha)/(2))`
Promotional Banner

Topper's Solved these Questions

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-III|28 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN|Exercise EXERCISE-I|52 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN|Exercise EXERCISE (JA)|4 Videos

  • RACE

    ALLEN|Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

Similar Questions

Explore conceptually related problems

A homogeneous flexible rope rests on a wedge whose side edges make angles alpha and beta with the horizontal. The central part of the rope lies on the upper rib C of the wedge. With what acceleration should the wedge be pulled to the left along the horizontal plane in order to prevent the displacement of the rope with respect to the wedge? [Consider all surfaces to be smooth]

A monkey of mass m clings a rope to a slung over a fixed pulley .The opposite end of the rope is tried to a weight of mass M tying on a horizontal table is mu Find the acceleration of weight and the tension of the rope for two cases .The monkey move downward with respect to the rope with an acceleration b. The acceleration of weight is

A block is placed on a smooth wedge of inclination angle theta with the horizontal. What minimum acceleration should be given to the wedge in the horizontal direction so that the block starts moving up along the incline?

A wedge is placed on the smooth surface of a fixed incline having inclination theta with the horizontal. The vertical wall of the wedge has height h and there is a small block A on the edge of the horizontal surface of the wedge. Mass of the wedge and the small block are M and m respectively. (a) Find the acceleration of the wedge if friction between block A and the wedge is large enough to prevent slipping between the two. (b) Find friction force between the block and the wedge in the above case. Also find the normal force between the two. (c) Assuming there is no friction between the block and the wedge, calculate the time in which the block will hit the incline.

A monkey of mass m clings a rope to a slung over a fixed pulley .The opposite end of the rope is tried to a weight of mass M tying on a horizontal table is mu Find the acceleration of weight and the tension of the rope for two cases .The monkey move downward with respect to the rope with an acceleration b. The tension of rope is

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end is supported by a light inextensible rope. The other end of the rope is fixed at point Q at a height L above the hinge at point O. A block of weight alpha W is attached at the point Q at a height L above the hinge at point O. A block of weight alpha W is attached at the point P of the beam as shown in the figure. The rope can sustain a maximum tension of 2(sqrt(2)) W . Which of the following statements is/are correct?

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.

The block B starts from rest and slides on the wedge A which can move on a horizontal surface, Neglecting friction, determine (a) the acceleration of wedge, (b) the acceleration of the block relative to the wedge.

ALLEN-NEWTONS LAWS OF MOTION-EXERCISE-II
  1. The force on a rocket moving with a veloctiy 300 m/s is 210N. The rate...

    Text Solution

    |

  2. In the fig. mass M=10gm. Is placed on an inclined plane. In order to k...

    Text Solution

    |

  3. A machine gun fires bullets of 50gm at the speed of 1000m/sec. If an a...

    Text Solution

    |

  4. The mechanical advantage of a wheel axle is 5 what will be thereforce ...

    Text Solution

    |

  5. A body of mass 100g is sliding on a inclined plane with an inclination...

    Text Solution

    |

  6. As shown in figure a monkey of 20g mass is holding a light rope that p...

    Text Solution

    |

  7. A bird is sitting on the floor of a wire cage and the cage is in the h...

    Text Solution

    |

  8. Two bodies A (30 kg) and B (50 kg) tied with a light string are placed...

    Text Solution

    |

  9. Weight is defined as:-

    Text Solution

    |

  10. A string of length L and mass M is lying on a horizontal table. A forc...

    Text Solution

    |

  11. A man is standing on a sparing platform, Reading of spring balaance is...

    Text Solution

    |

  12. A rocket of mass 120kg. Is fired in the gravity free space is ejected ...

    Text Solution

    |

  13. If 100N force is applied to 10kg. block as shown in diagram then accel...

    Text Solution

    |

  14. If a ladder is not in balance against a smooth vertical wall, then it ...

    Text Solution

    |

  15. A block is dragged on a smooth plane with the help of a rope which mov...

    Text Solution

    |

  16. In the arrangement shown in the Fig, the ends P and Q of an unstretcha...

    Text Solution

    |

  17. A trolley of mass 5 kg on a horizontal smooth surface is pulled by a l...

    Text Solution

    |

  18. A weightless inextensible rope rests on a stationary wedge forming an ...

    Text Solution

    |

  19. If acceleration of M is a then acceleration of m is

    Text Solution

    |

  20. If acceleration of A is 2m//s^(2) to left and acceleration of B is 1m/...

    Text Solution

    |