Home
Class 12
PHYSICS
A circular rope of weight W and radius r...

A circular rope of weight W and radius `r=R/2` is resting on a smooth sphere of radius R The tension in rope is

A

`W//(pisqrt6)`

B

`W//(pisqrt12)`

C

`W//(pisqrt10)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

`f sin theta = T(2pi)`
` F costheta =W `
`tantheta=(T(2pi))/w`
` T=( W tantheta)/(2pi)=(wtan30^(@))/(2pi)=w/(pisqrt12)`
Promotional Banner

Topper's Solved these Questions

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Comphrehension|134 Videos

  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Reasoning|75 Videos

  • FLUID MECHANICS

    BANSAL|Exercise PYQS AIEEE|10 Videos

  • SEMICONDUCTORS

    BANSAL|Exercise CBSE Question|32 Videos

Similar Questions

Explore conceptually related problems

A uniform sphere of weight W and radius 5 cm is being held by string as shown in the figure. The tension in the string will be

A block of mass M with a semi - circular track of radius R rests on a smooth floor. A sphere of mass m and radius r is released from rest from A . Find the velocity of sphere and track , when the sphere reaches B .

The volume of a sphere of radius 2r is

The radius of gyration of a sphere of radius R about a tangent is.

A cylinder of weight W and raidus R is to be raised onto a horizontal step of height h=R//3 as shown. A rope is wrapped around the cylinder and pulled horizontally. Assuming no slipping, find the minimum value of F to raise the cylinder.

A rope of length ((pi)/(2) + 1) R has been placed on a smooth sphere of radius R as shown in figure. End A of the rope is at the top of the sphere and end B is overhanging. Mass per unit length of the rope is lambda . The horizontal string holding this rope in place can tolerate tension equal to weight of the rope. Find the maximum mass (M_(0)) of a block that can be tied to the end B of the rope so that the string does not break.

A uniform circular chain of radius r and mass m rests over a sphere of radius R as shown in figure. Friction is absent everywhere and system is in equilibrium . Find the tension in the chain.

A unofrom rope of mass m is placeced on a smooth fixed sphere of radius R as shown in the figure .Find the tension T in the rope when it is in a horizontal plane at a vertical distance h=R/2 below the top of the sphere .

A thin circular ring of mass per unit length p and radius r is rotating at an angular speed omega as shown in figure. The tension in the ring is

A right circular cone of radius R and height 2 R is placed on a hemisphere of radius R . Locate c.m. of the combined mass from O .

BANSAL-MASTER PRACTICE PROBLEM-Additional topic
  1. A circular rope of weight W and radius r=R/2 is resting on a smooth sp...

    Text Solution

    |

  2. The manifestation of band structure in solids is due to

    Text Solution

    |

  3. When p-n junction diode is forward biased then

    Text Solution

    |

  4. If the ratio of the concentration of electron to that of holes in a se...

    Text Solution

    |

  5. If the lattice constant of this semiconductor is decreased, then which...

    Text Solution

    |

  6. In the following, which one of the diodes is reverse biased ?

    Text Solution

    |

  7. The circuit has two oppositively connected ideal diodes in parallel wh...

    Text Solution

    |

  8. If a p-n junction diode, a square input signal of 10 V is applied as s...

    Text Solution

    |

  9. In the circuit below, A and B represents two inputs and C represents t...

    Text Solution

    |

  10. A p-n junction (D) shown in the figure can act as a rectifier. An alte...

    Text Solution

    |

  11. The logic circuit shown below has the input waveforms ‘A’ and ‘B’ as s...

    Text Solution

    |

  12. The combination of gates shown below yields .

    Text Solution

    |

  13. Truth table for system of four NAND gates as shown in figure is : .

    Text Solution

    |

  14. In semiconductor the concentrations of electron and holes are 8xx10^(1...

    Text Solution

    |

  15. A potential difference of 2V is applied between the opposite faces of ...

    Text Solution

    |

  16. The main cause of avalence breakdown is

    Text Solution

    |

  17. A cube of germanium is placed between the poles of a magnet and a volt...

    Text Solution

    |

  18. In the given figure, which of the diodes are forward biased?

    Text Solution

    |

  19. Current in the circuit will be

    Text Solution

    |

  20. The diode used in the circuit shown in the figure has a constant volta...

    Text Solution

    |

  21. In the following circuits PN-junction diodes D(1), D(2) and D(3) are i...

    Text Solution

    |