Home
Class 12
PHYSICS
A simple pendulm has a length L and a bo...

A simple pendulm has a length L and a bob of mass M. The bob is vibrating with amplitude a .What is the maximum tension in the string?

A

mg

B

`mg[1+((a)/(L))^(2)]`

C

`mg[1+((a)/(2L))]^(2)`

D

`mg[1+((a)/(L))]^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Fundamental)|24 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Superposition of waves interfarence, beats)|15 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Oscillations) (Energy & spring pendulum)|17 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum has a length L and a bob of mass m. The bob is oscillating with amplitude A. Show that the maximum tension (T) in the string is (for small angular displacement). T_("max") =mg [1+(A/L)^(2)] .

The bob of a simple pendulum of length 1 m has mass 100g and a speed of 1.4 m/ s at the lowest point in its path. Find the tension in the string at this moment. Take g=9.8 m//sec^(2) (AS_(1))

A simple pendulum of length l and having a bob of mass M is suspended ina car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium, what will be its time period ?

A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m . The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is 324 N . The maximum possible value of angular velocity of ball ( radian//s) is - .

A simple pendulum of length l and having a bob of mass M is suspended in a car. The car is moving on a circular track of radius R with a uniform speed v. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period ?

A simple pendulum of bob of mass m and length L has one of its ends fixed at the centre O of a vertical circle, as shown in the figure. If 0=60^(@) at the point P , the minimum speed u that should be given to the bob so that it completes vetical circle is

A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .

At which position in the string of simple pendulum has maximum tension?

A stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string ? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200 N ?

ALLEN -RACE-Basic Maths (Oscillations) (Simple pendulum and types of SHM)
  1. Two pendulums of length 1.21 m and 1.0 m starts vibrationg. At some in...

    Text Solution

    |

  2. The length of a simple pendulum is increased by 44%. The percentage in...

    Text Solution

    |

  3. A solid cylinder of denisty rho(0), cross-section area A and length l ...

    Text Solution

    |

  4. A 100 g mass stretches a particular spring by 9.8 cm, when suspended v...

    Text Solution

    |

  5. When a block of mass m is suspended separately by two different spring...

    Text Solution

    |

  6. In forced oscillations , a particle oscillates simple harmonically wit...

    Text Solution

    |

  7. A simple pendulum of length 40 cm oscillates with an angular amplitude...

    Text Solution

    |

  8. The time period and the amplitude of a simple pendulum are 4 seconds a...

    Text Solution

    |

  9. A simple pendulum of length 1m is attached to the ceiling of an elevat...

    Text Solution

    |

  10. A pendulum has a period T for small osillations. An obstacle is placed...

    Text Solution

    |

  11. The position vector of a aprticle is given as vecr=(5t^2-4t+6)hati+(t^...

    Text Solution

    |

  12. Choose the correct statement :-

    Text Solution

    |

  13. A simple pendulum has a time period T in vacuum. Its time period when ...

    Text Solution

    |

  14. The time period of a simple pendulum in a stationary train is T. The t...

    Text Solution

    |

  15. The amplitude of damped oscillator becomes 1/3 of original value in 2s...

    Text Solution

    |

  16. Amplitude of a damped oscillator decreases up to 0.6 times of its init...

    Text Solution

    |

  17. A simple pendulm has a length L and a bob of mass M. The bob is vibrat...

    Text Solution

    |