Home
Class 12
PHYSICS
The resultant amplitude due to superposi...

The resultant amplitude due to superposition of three simple harmonic motions `x_(1) = 3sin omega t`,
`x_(2) = 5sin (omega t + 37^(@))` and `x_(3) = - 15cos omega t` is

A

`4sqrt(2)`

B

`4`

C

`6sqrt(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Aplitude phasor diagram :

`:.` resultant amplitude `= 6sqrt(2)`.
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - II|1 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 2, PART - III|12 Videos

  • SIMPLE HARMONIC MOTION

    RESONANCE ENGLISH|Exercise Exercise- 1, PART - II|36 Videos

  • SEMICONDUCTORS

    RESONANCE ENGLISH|Exercise Exercise 3|88 Videos

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise PHYSICS|784 Videos

Similar Questions

Explore conceptually related problems

x_(1) = 5 sin omega t x_(2) = 5 sin (omega t + 53^(@)) x_(3) = - 10 cos omega t Find amplitude of resultant SHM.

x_(1) = 5 sin omega t x_(2) = 5 sin (omega t + 53^(@)) x_(3) = - 10 cos omega t Find amplitude of resultant SHM.

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))

If i_(1)=3 sin omega t and (i_2) = 4 cos omega t, then (i_3) is

Determine resultant amplitude after super position of given four waves with help of phasor diagram. y_(1) = 15 sin omega t mm,y_(2) = 9 sin (omega t -pi//2) mm,y_(3)=7 sin (omega t +pi//2)mm & y_(4) = 13 sin omega t mm .

A partical is subjucted to two simple harmonic motions x_(1) = A_(1) sin omega t and x_(2) = A_(2) sin (omega t + pi//3) Find(a) the displacement at t = 0 , (b) the maximum speed of the partical and ( c) the maximum acceleration of the partical.

Two simple harmonic motions given by, x = a sin (omega t+delta) and y = a sin (omega t + delta + (pi)/(2)) act on a particle will be

The equation of the resultant motion of the number of simple harmonic motions is E_(c)=(1+K sin omega_(2)t) sin omega_(1)t . The number of simple harmonic components is/are.

Two particle A and B execute simple harmonic motion according to the equation y_(1) = 3 sin omega t and y_(2) = 4 sin [omega t + (pi//2)] + 3 sin omega t . Find the phase difference between them.

Find the resultant amplitude and the phase difference between the resultant wave and the first wave , in the event the following waves interfere at a point , y_(1) = ( 3 cm) sin omega t , y_(2) = ( 4 cm) sin (omega t + (pi)/( 2)), y_(3) = ( 5 cm ) sin ( omega t + pi)

RESONANCE ENGLISH-SIMPLE HARMONIC MOTION -Exercise- 2, PART - I
  1. The resultant amplitude due to superposition of three simple harmonic ...

    Text Solution

    |

  2. A block of mass m is resting on a piston as shown in figure which is m...

    Text Solution

    |

  3. A body of mass m is situated in a potential field U(x)=U(0)(1-cosalpha...

    Text Solution

    |

  4. A solid ball of mass m is made to fail from a height H on a pan suspen...

    Text Solution

    |

  5. Two discs, each having mass m, are attached rigidly to the ends of a v...

    Text Solution

    |

  6. Two springs, each of spring constant k, are attached to a block of mas...

    Text Solution

    |

  7. The right block in figure moces at a speed V towards the left block pl...

    Text Solution

    |

  8. The bob of a simple pendulum of length L is released at time t = 0 fro...

    Text Solution

    |

  9. The period of small oscillations of a simple pendulum of length l if i...

    Text Solution

    |

  10. A simple pendulum , a physical pendulum, a torsional pendulum and a sp...

    Text Solution

    |

  11. A rod of mass M and length L is hinged at its one end and carries a pa...

    Text Solution

    |

  12. A particle moves on the X-axis according to the equation x=x0 sin^2ome...

    Text Solution

    |

  13. The amplitide of a particle due to superposition of following S.H.Ms. ...

    Text Solution

    |

  14. Two particles P and Q describe S.H.M. of same amplitude a, same freque...

    Text Solution

    |

  15. A street car moves rectilinearly from station A to the next station B ...

    Text Solution

    |

  16. A particle is oscillating in a stright line about a centre of force O,...

    Text Solution

    |

  17. Assuming all the surfaces to be smoth, if the time period of motion of...

    Text Solution

    |

  18. A particle of mass m is attached with three springs A,B and C of equal...

    Text Solution

    |

  19. In the figure shown mass 2m is at rest and in equilibrium. A particle ...

    Text Solution

    |

  20. For given spring mass system, if the time period of small oscillations...

    Text Solution

    |

  21. For the arrangement shown in figure, the spring is initially compresse...

    Text Solution

    |