Home
Class 11
PHYSICS
The equations of simpel harmonic motin i...

The equations of simpel harmonic motin is given by
`y=3sin5pit+4cos5pit`, where y is in cm and t in second. Determing the amplitude, period and initial phase.

Text Solution

AI Generated Solution

To solve the problem, we start with the given equation of simple harmonic motion (SHM): \[ y = 3 \sin(5 \pi t) + 4 \cos(5 \pi t) \] ### Step 1: Determine the Amplitude The general form of the SHM equation can be expressed as: ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise conceptual problems|84 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Very Short Answer Questions|99 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise CURIOSITY QUESTION|2 Videos
  • MATHEMATICAL TOOLS

    PRADEEP|Exercise Fill in the blanks|5 Videos
  • PHYSICAL WORLD AND MEASUREMENT

    PRADEEP|Exercise Competiton Focus Jee Medical Entrance|18 Videos

Similar Questions

Explore conceptually related problems

The equation of a simple harmonic motion is given by y=6 sin 10 pi t+8 cos 10 pi cm and t in sec. Determine the amplitude, period and initial phase.

A simple harmonic motion is represented by y = 8 sin 10 pi t + 6 cos 10 pit , where is in cm and t is in sec. Calculate the amplitude time period and intial phase.

The equation of linear simple harmonic motion is x = 8 cos (12pit) where x is in cm and t is in second. The initial phase angle is

The equation of a simple harmonic motion is given by , x=8sin(8pit)+6cos(8pit) . The initial phase angle is

The equation of a plane progressive wave is given by y=2sin(100pit-(pix)/(20)) where x and y are in cm and t is in second. The amplitude and the initial phase of the wave are respectively.

The equation of motion for an oscillating particle is given by x = 3sin (4pit) + 4 cos(4pit) , where x is in mm and t is in second

The displacement of a particle executing simple harmonic motion is given by x=3sin(2pit+(pi)/(4)) where x is in metres and t is in seconds. The amplitude and maximum speed of the particle is

The equation of a simple harmonic wave is given by Y = 5sin""pi/2(100t - x) , where x and y are in metre and time is in second. The time period of the wave (m seconds) will be

PRADEEP-OSCILLATIONS AND WAVES-SOLVED EXAMPLES
  1. A particle executed SHM iwht a time period of 3s and amplitude 6cm. Fi...

    Text Solution

    |

  2. A particle moving in a straight line has velovity v given by v^(2)=al...

    Text Solution

    |

  3. The equations of simpel harmonic motin is given by y=3sin5pit+4cos5p...

    Text Solution

    |

  4. A particle executed SHM o amplitude 20cm and itme period 4s. What is m...

    Text Solution

    |

  5. A particle executing SHM along a straight line has a velocity of 4ms^...

    Text Solution

    |

  6. A man stands on a weighing machin palced on a horizontal platform the ...

    Text Solution

    |

  7. A particle executes simple harmonic motion with a time period of 16s. ...

    Text Solution

    |

  8. The displacement y of a particle executing periodic motion is given by...

    Text Solution

    |

  9. depict two circulat mothions. The radius of the circle, the period of ...

    Text Solution

    |

  10. Time period of a simple pendulum is 2s and it can go to and fro from ...

    Text Solution

    |

  11. Maximum velocity of a particle in SHM is 16cm^(-1) . What is the avera...

    Text Solution

    |

  12. A block of mass one kg is fastened to a spring with a spring constant ...

    Text Solution

    |

  13. A body executed SHM of time period 6s. If its mass be 0.1kg, its veloc...

    Text Solution

    |

  14. A particle of mass 100g is dexcribing SHM along a straight lig with a...

    Text Solution

    |

  15. A mass of 1 kg is executing SHM which is give by, x=6.0cos(100t+pi//4)...

    Text Solution

    |

  16. An 8kg body performs SHM of amplitude 30cm. The restoring fore is 60n,...

    Text Solution

    |

  17. A point particle if mass 0.1 kg is executing SHM of amplitude 0.1 m. W...

    Text Solution

    |

  18. A linear harmonic oscillator of force constant 2 xx 10^6 N//m and ampl...

    Text Solution

    |

  19. A small trolley of mass 2.0kg resting on a horizontal turn table is co...

    Text Solution

    |

  20. A period of oscillation of a mass m kg is suspended by an ideal spring...

    Text Solution

    |