Home
Class 12
PHYSICS
Find the displacement equation of the si...

Find the displacement equation of the simple harmonic motion obtained by conbining the motions.
`x_(1)=2 "sin "omegat,x_(2)=4 "sin "(omegat+(pi)/(6))`
and `x_(3)=6 "sin" (omegat+(pi)/(3))`

A

`x=10.25 sin (omegat+phi)`

B

`x=10.25sin(omegat-phi)`

C

`x=11.25sin(omegat+phi)`

D

`x=11.25sin(omegat-phi)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 73

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos
  • NTA JEE MOCK TEST 75

    NTA MOCK TESTS|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

Find the displacement equation of the simple harmonic motion obtained by combining the motion. x_(1) = 2sin omega t , x_(2) = 4sin (omega t + (pi)/(6)) and x_(3) = 6sin (omega t + (pi)/(3))

Find the amplitude of the simple harmonic motion obtasined by combining the motions x_1=(2.0 cm) sinomegat and x_2=(2.0cm)sin(omegat_pi/3)

Find the amplitude of the harmonic motion obtained by combining the motions x_(1) = (2.0 cm) sin omega t and x_(2) = (2.0 cm) sin (omega t + pi//3) .

What is the phase difference between two simple harmonic motions represented by x_(1)=A"sin"(omegat+(pi)/(6)) and x_(2)=A "cos"omegat ?

The displacement equation of a simple harmonic oscillator is given by y=A sin omegat-Bcos omegat The amplitude of the oscillator will be

If current 1_(1) = 3A sin omegat and 1_(2)= 4A cos omegat, then 1_(3) is

Using graphical means find an amplitude a of oscillations resulting from the superposition of the following oscillations of the same direction : (a) x_(1)=3.0 cos (omegat+pi//3), x_(2)=8.0 sin (omega t+ pi//6), (b) x_(1)=3.0 cos omegat, x_(2)=5.0 cos (omegat+pi//4), x_(3)=6.0 sin omegat.

NTA MOCK TESTS-NTA JEE MOCK TEST 74-PHYSICS
  1. One mole of an ideal monatomic gas at temperature T0 expands slowly ac...

    Text Solution

    |

  2. A current carrying wire is placed in the grooves of an insulating semi...

    Text Solution

    |

  3. A particle is projected at an angle of 60^(@) above the horizontal wit...

    Text Solution

    |

  4. A conveyor belt is moving at a constant speed of 2m//s . A box is gent...

    Text Solution

    |

  5. Two radioactive nuclei P and Q in a given sample decay into a stable n...

    Text Solution

    |

  6. Find the displacement equation of the simple harmonic motion obtained ...

    Text Solution

    |

  7. The compressibility of water is 4xx10^-5 per unit atmospheric pressure...

    Text Solution

    |

  8. A ray of sunlight enters a spherical water droplet(n=4//3)at an angle ...

    Text Solution

    |

  9. A uniform ring is rotating about vertical axis with angular velocity o...

    Text Solution

    |

  10. The area of the region covered by the TV., broadcast by a T.V. tower o...

    Text Solution

    |

  11. An iron rocket fragment initially at -100^@C enters the earth's atmosp...

    Text Solution

    |

  12. The dimensional formula for entropy is

    Text Solution

    |

  13. White light is used to illuminate the two slits in a Young's double sl...

    Text Solution

    |

  14. Two loudspeakers are being compared. One is preceived to be 32 times l...

    Text Solution

    |

  15. A spherical balll of mass m is the highest point in the space between ...

    Text Solution

    |

  16. A cart loaded with sand having total mass m(0)=1800kg moves on a str...

    Text Solution

    |

  17. An aeroplane is flying at a velocity of "900 km h"^(-1) loops a vertic...

    Text Solution

    |

  18. The position x of a particle with respect to time t along the x-axis i...

    Text Solution

    |

  19. A metal rod of length 2 m has cross sectional areas 2 A and A as shown...

    Text Solution

    |

  20. The number of photons falling per second on a completely darkened plat...

    Text Solution

    |