Home
Class 11
PHYSICS
A simple pendulum of length l has maximu...

A simple pendulum of length `l` has maximum angular displacement `theta` . Then maximum kinetic energy of a bob of mass `m` is

A

`mglsintheta`

B

`mgl(1+sintheta)`

C

`mgl(1+costheta)`

D

`mgl(1-costheta)`

Text Solution

Verified by Experts

The correct Answer is:
D


`h=l-l cos theta`
`=l(1-costheta)`
According to law of conservation
`KE=PE=mg" "h`
`implies KE=mgl(1-costheta)`.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Spring Pendulum)|30 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Superposition of S.H.M.s and Resonance)|7 Videos
  • SIMPLE HARMONIC MOTION

    ERRORLESS|Exercise NCERT BASED QUESTIONS (Time Period and Frequency)|7 Videos
  • ROTATIONAL MOTION

    ERRORLESS|Exercise Assertion & Reason|25 Videos
  • SURFACE TENSION

    ERRORLESS|Exercise ASSERTION & REASON|11 Videos

Similar Questions

Explore conceptually related problems

A simple pendulum of length l has a maximum angular displacement theta . The maximum kinetic energy of the bob of mass m will be

If a simple pendulum of length l has maximum angular displacement theta , then the maximum velocity of the bob is

A simple pendulum is oscillating with a maximum angular displacement of theta radian. If theta is very small, the ratio of maximum tension to the minimum tension in the string during oscillations is

A simple pendulum having a bob of mass 100 g is oscillating with a maximum angular displacement of 3^(@) . The maximum restoring force acting on the bob is (take g = 10 ms^(-2) )

A simple pendulum of mass 'm' , swings with maximum angular displacement of 60^(@) . When its angular displacement is 30^(@) ,the tension in the string is

Kinetic energy of the bob of a simple pendulum is maximum

The bob of a simple pendulum of length L is released at time t = 0 from a position of small angular displacement theta _ 0 . Its linear displacement at time t is given by :

The given figure shows the variation of the kinetic energy of a simple pendulum with its angular displacement (theta) from the vertical. Mass of the pendulum bob is m = 0.2 kg. Find the time period of the pendulum. Take g = 10 ms^(-2) .

ERRORLESS-SIMPLE HARMONIC MOTION-NCERT BASED QUESTIONS (Simple Pendulum)
  1. There is a simple pendulum hanging from the ceiling of a lift. When th...

    Text Solution

    |

  2. A simple pendulum hanging from the ceiling of a stationary lift has a ...

    Text Solution

    |

  3. A simple pendulum has a hollow sphere containing mercury suspended by ...

    Text Solution

    |

  4. What is the length of a simple pendulum which ticks second?

    Text Solution

    |

  5. if a boby is released into a tunal dug across the diameter of earth, ...

    Text Solution

    |

  6. A simple pendulum is executing simple harmonic motion with a time peri...

    Text Solution

    |

  7. If the length of a pendulum is made 9 times and mass of the bob is mad...

    Text Solution

    |

  8. In case of a simple pendulum, time period versus length is depicted by

    Text Solution

    |

  9. A simple pendulum of length I and mass (bob) m is suspended vertically...

    Text Solution

    |

  10. A clock which keeps correct time at 20^(@)C is subjected to 40^(@)C. I...

    Text Solution

    |

  11. A simple pendulum is set up in a trolley which moves to the right with...

    Text Solution

    |

  12. What is the velocity of the bob of a simple pendulum at its mean posit...

    Text Solution

    |

  13. A simple pendulum with a bob of mass m oscillates from A to C and back...

    Text Solution

    |

  14. A pendulum of length 2 m lift at P . When it reaches Q , it losses 10%...

    Text Solution

    |

  15. A simple pendulum of length l has maximum angular displacement theta ....

    Text Solution

    |

  16. A uniform rod of length 2.0 m is suspended through an end and is set i...

    Text Solution

    |

  17. A disc of radius R and mass M is pivoted at the rim and it set for sma...

    Text Solution

    |

  18. Time period of a simple pendulum of length L is T(1) and time period o...

    Text Solution

    |

  19. A particle executes simple harmonic motion between x=-A and x=+A. The ...

    Text Solution

    |

  20. A simple pendulum is hanging from a peg inserted in a vertical wall. I...

    Text Solution

    |