Home
Class 11
PHYSICS
A plank with a small block on top of it ...

A plank with a small block on top of it is under going vertical `SHM`. Its period is `2 sec`. The minimum amplitude at which the block will separate from plank is :

A

`(10)/(pi^2)`

B

`(pi^2)/(10)`

C

`(20)/(pi^2)`

D

`(20)/(pi^2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Here `g=Aomega^2`
`A=(g)/(omega^2)=(g)/(((2pi)/(T))^2)=(gT^2)/(4pi^2)`
`=(10xx4)/(4pi^2)=(10)/(pi^2)m`
Promotional Banner

Topper's Solved these Questions

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct|35 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Assertion Reasoning|6 Videos

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Subjective|21 Videos

  • KINETIC THEORY OF GASES AND FIRST LAW OF THERMODYNAMICS

    CENGAGE PHYSICS|Exercise Interger|11 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Interger type|3 Videos

Similar Questions

Explore conceptually related problems

A plank with a small block on top of it is under going vertical SHM . Its period is 2 sec . The minium amplitude at which the block will separate from plank is :

A block of mass m is resting on a piston as shown in figure which is moving vertically with a SHM of period 1 s . The minimum amplitude of motion at which the block and piston separate is :

A block of mass ‘m’ rests on a piston executing S.H.M. of period 1sec. The amplitude of oscillations so that the mass is separated from the piston is

A small block of mass 1kg is placed over a plank of mass 2kg. The length of the plank is 2 m. coefficient of friction between the block and the plnak is 0.5 and the ground over which plank in placed is smooth. A constant force F=30N is applied on the plank in horizontal direction. the time after which the block will separte from the plank is (g=10m//s^(2))

A block is kept on a rough horizontal plank. The coefficient of friction between the block and the plank is 1/2 . The plank is undergoing SHM of angular frequency 10 rad/s. The maximum amplitude of plank in which the block does not slip over the plank is (g= 10 m/ s^(2) )

A block is kept on a rough horizontal plank. The coefficient of friction between block and plank is 1//2 . Plank is undergoing SHM is angular frequency 10 rad//s . Find the maximum amplitude of plank in which the block does slip over plank (g = 10 m//s^(2)) .

A horizontal platform with a small block of mass 1 kg kept on it performs vertical SHM of amplitude 1 cm. The block does not lose contact with the platform anywhere. The minimum possible time period of the platform

A block is resting on a piston which executes simple harmonic motion in vertical plain with a period of 2.0s in vertical plane at an amplitude just sufficient for the block to separate from the piston. The maximum velocity of the piston is

An block rides on position that is moving vertically with simple harmonic motion. The maximum speed of the piston is 2m/s. At what minimum amplitude of motion will the block and piston separate? (g=10m/ s^(2) )

CENGAGE PHYSICS-LINEAR AND ANGULAR SIMPLE HARMONIC MOTION-Single Correct
  1. The oscillations represented by curve 1 in the graph are expressed by ...

    Text Solution

    |

  2. Graph shows the x(t) curves for the three experiments involving a part...

    Text Solution

    |

  3. The acceleration of a particle moving along x-axis is a=-100x+50. It i...

    Text Solution

    |

  4. In the above question, the speed of the particle at origin will be:

    Text Solution

    |

  5. A particle performs SHM of amplitude A along a straight line .When it ...

    Text Solution

    |

  6. A horizontal rod of mass m and length L is pivoted at one end The rod'...

    Text Solution

    |

  7. A small mass executes linear SHM about O with amplitude a and period T...

    Text Solution

    |

  8. Time period of a particle executing SHM is 8 sec. At t=0 it is at the ...

    Text Solution

    |

  9. A particle performs SHM with a period T and amplitude a. The mean velo...

    Text Solution

    |

  10. A graph of the square of the velocity against the square of the accele...

    Text Solution

    |

  11. A plank with a small block on top of it is under going vertical SHM. I...

    Text Solution

    |

  12. The potential energy of a simple harmonic oscillator of mass 2 kg in i...

    Text Solution

    |

  13. A spring mass system preforms S.H.M if the mass is doubled keeping amp...

    Text Solution

    |

  14. A particle of mass m moves in a one dimensional potential energy U(x)=...

    Text Solution

    |

  15. A particle of mass m moves in the potential energy U shoen above. The ...

    Text Solution

    |

  16. The displacement of a body executing SHM is given by x=A sin (2pi t+pi...

    Text Solution

    |

  17. Two particles are in SHM in a straight line about same equilibrium pos...

    Text Solution

    |

  18. A system of two identical rods (L-shaped) of mass m and length l are r...

    Text Solution

    |

  19. A particle is subjected to two mutually perpendicular simple harmonic ...

    Text Solution

    |

  20. Two simple harmonic motions y1=Asinomegat and y2=Acosomegat are supre ...

    Text Solution

    |