Home
Class 12
PHYSICS
A particle is subjected to three SHM's i...

A particle is subjected to three SHM's in same direction simultaneously each having amplitude a and equal time period. The phase of the second motion is `30^(0)` ahead of the first and the phase of the third motion is `30^(0)` ahead of the second. Find the amplitude of the resultant motion.

Text Solution

Verified by Experts

The correct Answer is:
`asqrt(4 + 2sqrt(3))
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 1, PART - II|37 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Exercise- 2, PART - I|26 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE|Exercise Board Level Exercise|24 Videos

  • SEMICONDUCTORS

    RESONANCE|Exercise Exercise 3|88 Videos

  • TEST PAPERS

    RESONANCE|Exercise FST-3|30 Videos

Similar Questions

Explore conceptually related problems

Three simple harmonic motion of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is 60^(@) ahead of the first and the phase of the third motion is 60^(@) ahead of the second. Find the amplitude of the resultant motion.

Three simple harmonic motions of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is 60^@ ahead of the first and the phase of the third motion is 60^@ ahead of the second. Find the amplitude of the resultant motion.

(a) A particle is subjected to two SHMs of same time period in the same direction. If A_1=6cm , A_2=8cm , find the resultant amplitude if the phase difference between the motions is (a) 0^@ , (b) 60^@ , (c) 90^@ and (d) 120^@ . (b) In the previous problem if A_1=A_2=a and resultant amplitude is also a, find phase difference between them. (c) Three SHMs of equal amplitude A and equal time periods in the same direction combine. The phase of the second motion is 120^@ ahead of first and the phase of the third motion is 120^@ ahead of the second. Find the amplitude of the resultant motion.

Time S.H.M. of equal amplitude a and equal time period in the same direction combine. The first is 60^(@) ahead of the second and second is 60^(@) ahead of the third S.H.M . The amplitude of the resultant oscillation is:

Three SHO's of equal amplitude A and equal time period combine in the same direction. The difference in phase between successive SHO's os 60^(@) ahead of the other. The amplitude of the resultant oscillation is

A particle is subjected to two simple hasrmonic motions in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motions, find the phase difference between the individual motions.

A particle is subjected to two simple harmonic motions in the same direction having equal amplitude and equal frequency. If the resultant amplitude is equal to the amplitude of individual motions, what is the phase difference between the motions.

A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resulting amplitude is equal to the amplitude of individual motions, the phase difference between them is

A particle is subjected to two simple harmonic motion in the same direction having equal amplitudes and equal frequency. If the resultant amplitude is equal to the amplitude of the individual motions. Find the phase difference between the individual motions.

RESONANCE-SIMPLE HARMONIC MOTION -Exercise- 1, PART - I
  1. A particle is subjected to three SHM's in same direction simultaneousl...

    Text Solution

    |

  2. The equation of a particle executing SHM is x = (5m)[(pis^(-1))t + (pi...

    Text Solution

    |

  3. A particle having mass 10 g oscilltes according to the equatioi (x=(2....

    Text Solution

    |

  4. A simple harmonic motion has an amplitude A and time period T. Find th...

    Text Solution

    |

  5. At particle is executing SHM with amplitude A and has maximum velocity...

    Text Solution

    |

  6. A particle executes simple harmonic motion with an amplitude of 10 cm ...

    Text Solution

    |

  7. A particle is executing SHM. Find the positions of the particle where ...

    Text Solution

    |

  8. A particle performing SHM with amplitude 10cm. At What distance from m...

    Text Solution

    |

  9. An object of mass 0.2 kg executes simple harmonic oscillation along th...

    Text Solution

    |

  10. A spring mass system has time period of 2 second. What should be the s...

    Text Solution

    |

  11. A body of mass 2 kg suspended through a vertical spring executes simpl...

    Text Solution

    |

  12. A vertical spring-mass system with lower end of spring is fixed, made ...

    Text Solution

    |

  13. The spring shown in figure is unstretched when a man starts pulling on...

    Text Solution

    |

  14. Three spring mass systems are shown in figure. Assuming gravity free s...

    Text Solution

    |

  15. Spring mass system is shown in figure. Find the elastic potential ener...

    Text Solution

    |

  16. Find the length of seconds pendulum at a place where g = pi^(2) m//s^(...

    Text Solution

    |

  17. Instantaneous angle (in radian) between string of a simple pendulum an...

    Text Solution

    |

  18. A pendulum clock giving correct time at a place where g=9.800 ms^-2 is...

    Text Solution

    |

  19. A pendulum is suspended in a lit and its period of oscillation is T(0)...

    Text Solution

    |

  20. Compound pendulum are made of : (a) A rod of length l suspended thro...

    Text Solution

    |

  21. A uniform disc of radius r is to be suspended through a small hole mad...

    Text Solution

    |