Home
Class 11
PHYSICS
A body is executing simple harmonic moti...

A body is executing simple harmonic motion with an angular frequency 2 rad/sec. The velocity of the body at 20mm displacement, when the amplitude of motion is 60mm, is

A

90 mm/s

B

113 mm/s

C

118 mm/s

D

131 mm/s

Text Solution

Verified by Experts

The correct Answer is:
B

`v=omegasqrt(A^(2)-y^(2))=2xxsqrt((60)^(2)-(20)^(2))=30sqrt(2)=113mm//s`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (2-MARKS QUESTIONS )|8 Videos
  • OSCILLATIONS

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (3-MARKS QUESTIONS )|2 Videos
  • OSCILLATIONS

    FULL MARKS|Exercise TEXTUAL EVALUATION SOLVED (V NUMERICAL PROBLEMS)|7 Videos
  • NATURE OF PHYSICAL WORLD AND MEASUREMENT

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED ( SHORT ANSWER QUESTIONS (2 MARK))|20 Videos
  • PROPERTIES OF MATTER

    FULL MARKS|Exercise Additional Questions Solved - Numerical Questions|19 Videos

Similar Questions

Explore conceptually related problems

Two simple harmonic motions of angular frequencies 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is………….

A particle is executing simple harmonic motion given by x=5sin(4t-(pi)/(6)) . The velocity of the particle when its displacement is 3 units is…………….

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2s. Find the acceleration and velocity of the body when the displacement is 5 cm.

A particle executes simple harmonic motion with a frequency. (f). The frequency with which its kinetic energy oscillates is.

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm (b) 3 cm (c) 0 cm.

A particle executes simple harmonic motion with an angular velocity and maximum acceleration of 3.5 rad // s and 7.5 m // s^(2) respectively. Amplitude of the oscillation is .......... .

A particle executing simple harmonic motion has angular frequency 6.28 s^(-1) and amplitude 10 cm . Find (a) the time period, (b) the maximum speed, (c) the maximum acceleration.

A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then find its time period in seconds.

A body executing linear simple harmonic motion has a velocity of 3 m//s . When its displacement is 4 -cm. and a velocity of 4 m//s . when its displacement is 3 cm. What is the amplitude of oscillation?

FULL MARKS-OSCILLATIONS -ADDITIONAL QUESTIONS SOLVED
  1. A mass m is vertically suspended from a spring of negligible mass, the...

    Text Solution

    |

  2. Two simple pendulums of lengths 0.5m and 2.0m respectively are given s...

    Text Solution

    |

  3. A body is executing simple harmonic motion with an angular frequency 2...

    Text Solution

    |

  4. If the displacement of a particle executing SHM, is given by y=0.30 si...

    Text Solution

    |

  5. The kinetic energy of a particle, executing SHM, is 16 J when it is at...

    Text Solution

    |

  6. A particle of mass m is executing oscillations about the origin on the...

    Text Solution

    |

  7. The amplitude of a damped oscillation reduces to one third of its orig...

    Text Solution

    |

  8. Masses m(A) and m(B) hanging from the ends of strings of lengths l(A) ...

    Text Solution

    |

  9. Two simple harmonic motions act on a particle. These harmonic motions ...

    Text Solution

    |

  10. A metal bob is suspended from a coiled spring. When set into vertical ...

    Text Solution

    |

  11. In forced oscillations of a particle, the amplitude is maximum for a f...

    Text Solution

    |

  12. Which one of the following statements is true for the speed v and the ...

    Text Solution

    |

  13. The function sin^(2)(omegat) represents

    Text Solution

    |

  14. A particle executing simple harmonic motion has a kinetic energy K(o)c...

    Text Solution

    |

  15. A particle executing simple harmonic motion of amplitude 5 cm has maxi...

    Text Solution

    |

  16. The phase difference between the instantaneous velocity & acceleration...

    Text Solution

    |

  17. Which one of the following equations of motion represents simple harmo...

    Text Solution

    |

  18. Which of the following functions represent SHM? I. y=sinomegat-cosom...

    Text Solution

    |

  19. Two simple harmonic motions of angular frequencies 100 and 1000 rad/s ...

    Text Solution

    |

  20. The period of oscillation of a simple pendulum is T in a stationary li...

    Text Solution

    |