Home
Class 11
PHYSICS
A particle executes two types of SHM. x(...

A particle executes two types of SHM. `x_(1) = A_(1) sin omega t " and "x_(2) = A_(2) sin [omega t+(pi)/(3)]`, then
find the maximum acceleration of the particle.

Text Solution

Verified by Experts

Maximum acceleration `= -omega^(2) x`
`= -omega^(2) xx (sqrt(3)A_(2))/(2)`.
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    KUMAR PRAKASHAN|Exercise SECTION-C (OBJECTIVE QUESTIONS TRUE OR FALSE)|8 Videos

  • OSCILLATIONS

    KUMAR PRAKASHAN|Exercise SECTION-C (OBJECTIVE QUESTIONS FILL IN THE BLANK)|7 Videos

  • OSCILLATIONS

    KUMAR PRAKASHAN|Exercise SECTION-B (NUMERICAL FROM DARPAN BASED ON TEXTBOOK)|15 Videos

  • OBJECTIVE QUESTIONS AS PER NEW PAPER STYLE

    KUMAR PRAKASHAN|Exercise CHAPTER - 8 (Match Type questions)|5 Videos

  • PHYSICAL WORLD

    KUMAR PRAKASHAN|Exercise SECTION-E (QUESTIONS FROM MODULE)|9 Videos

Similar Questions

Explore conceptually related problems

A particle executes two types of SHM. x_(1) = A_(1) sin omega t " and "x_(2) = A_(2) sin [omega t+(pi)/(3)] , then find the maximum speed of the particle.

A particle executes two types of SHM. x_(1) = A_(1) sin omega t " and "x_(2) = A_(2) sin [omega t+(pi)/(3)] , then find the displacement at time t=0.

Phase difference between two waves y _(1) = A sin (omega t - kx) and y _(2)= A cos (omega t - kx) is ……

Path different between waves y_(1) = A_(1) sin (omega t - (2pix)/(lamda)) and y _(2) = A_(2) cos (omega t - (2pi x)/(lamda) + phi) at the point of superpositon is :

The displacement of a particle varies with time as x = 12 sin omega t - 16 sin^(3) omega t (in cm) it is motion is S.H.M. then its maximum acceleration is

When two waves y _(1) =A sin (omega t + (pi)/(6)) and y _(2) = A cos (omega t) superpose, find amplitude of resultant wave.

The phase difference between two SHM y_(1) = 10 sin (10 pi t + (pi)/(3)) and y_(2) = 12 sin (8 pi t + (pi)/(4)) to t = 0.5s is

Two waves travelling in a medium in the x-direction are represented by y_(1) = A sin (alpha t - beta x) and y_(2) = A cos (beta x + alpha t - (pi)/(4)) , where y_(1) and y_(2) are the displacements of the particles of the medium t is time and alpha and beta constants. The two have different :-

When two displacements represented by y_(1)= a sin(omega t)" and "y_(2)= b cos (omega t) are superimposed the motion is…….

A particle is acted simultaneouosly be mutually perpendicular simple harmonic motion x= a cos omega t" and "y= a sin omega t . The trajectory of motion of the particle will be………

KUMAR PRAKASHAN-OSCILLATIONS-SECTION-C (OBJECTIVE QUESTIONS)
  1. A particle executes two types of SHM. x(1) = A(1) sin omega t " and "x...

    Text Solution

    |

  2. A particle executes two types of SHM. x(1) = A(1) sin omega t " and "x...

    Text Solution

    |

  3. A particle executes two types of SHM. x(1) = A(1) sin omega t " and "x...

    Text Solution

    |

  4. Displacement of SHM particle is x= 5 sin pi t where x is in cm. Then h...

    Text Solution

    |

  5. A girl is swinging a swing in the sitting position. What will be the e...

    Text Solution

    |

  6. The periodic time of SHM also measured by t= 2pi sqrt(("displacement")...

    Text Solution

    |

  7. Two simple pendulums of equal length cross each other at mean position...

    Text Solution

    |

  8. The amlitude of a particle executes SHM is 2 cm and the force acting a...

    Text Solution

    |

  9. Can simple pendulum clock be used in an artificial satellite? Why ?

    Text Solution

    |

  10. When body of mass m is suspended from a spiral spring and spring gets ...

    Text Solution

    |

  11. The particle executes simple harmonic motion have periodic time 0.05s ...

    Text Solution

    |

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

    Text Solution

    |

  13. Which basic properties are needed for the system being oscillate?

    Text Solution

    |

  14. Can an oscillatory motion be non-periodic?

    Text Solution

    |

  15. Give the formula of force acting on a particle executes simple harmoni...

    Text Solution

    |

  16. What happens to the time period of a simple pendulum when it is taken ...

    Text Solution

    |

  17. What is the values of frequency in the differential equation of SHM (d...

    Text Solution

    |

  18. Amplitude of a SHO is sqrt(5) cm. At what displacement from the mean ...

    Text Solution

    |

  19. A particle is performing SHM. Its path length is 8 cm, amplitude is ...

    Text Solution

    |

  20. A spring is stretched by 3 cm, its potential energy is U1. If the spri...

    Text Solution

    |