Home
Class 11
PHYSICS
A particle executes SHM of time period 1...

A particle executes SHM of time period 10 seconds. The displacment of particle at any instant is given by `: x=10 sin omegat ` (in cm). Find (i) the velocity of the body 2 s after it passes through mean position (ii) the acceleration 2 s after it passes the mean position.

Text Solution

AI Generated Solution

To solve the problem step-by-step, we will first break down the information given and then calculate the velocity and acceleration of the particle executing simple harmonic motion (SHM). ### Given: - Time period \( T = 10 \) seconds - Displacement equation: \( x = 10 \sin(\omega t) \) (in cm) ### Step 1: Calculate \( \omega \) The angular frequency \( \omega \) is given by the formula: ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Multiple Choice Question-I|21 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Multiple Choice Question-II|14 Videos
  • OSCILLATIONS AND WAVES

    PRADEEP|Exercise Fill In The Blanks|20 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 displacement of a particle moving in S.H.M. at any instant is given by y = a sin omegat . The accelreation after time t=T/4 os

A particle is in SHM with time period 3 sec. Calculate the displacement of particle from mean position after t = 0.5 sec.

What is the acceleration of a particle executing S.H.M. at its mean position.?

The equation for the displacement of a particle executing SHM is y = 5 sin (2pit)cm . Find (i) velocity at 3cm from the mean position (ii) acceleration at 0.5s after having the mean position

A particle of mass m executing S.H.M. about its mean position. The total energy of the particle at given instant is

A particle of mass m is executing SHM about its mean position. The total energy of the particle at given instant is

In S.H.M., the velocity of the particle at the mean position is 1 m/s and acceleration at the extremity is 2 m//s^(2) , the period of motion is

A particle executes SHM with a time period of 4 s . Find the time taken by the particle to go directly from its mean position to half of its amplitude.

A particle executes SHM with a time period of 12s. Find the time taken by the particle to go directly from its mean position to half of its amplitude.

A particle executes SHM of period 8 seconds. After what time of its passing through the mean position will the energy be half kinetic and half potential ?

PRADEEP-OSCILLATIONS AND WAVES-PROBLEMS FOR PRACTICE
  1. A simple harmonic motion is represented by x=10sin(20t+0.5). Write...

    Text Solution

    |

  2. A body oscillates with SHM according to the equation x(t)=5cos(2pit+...

    Text Solution

    |

  3. A particle executes SHM of time period 10 seconds. The displacment of...

    Text Solution

    |

  4. A body is vibrating with SHM of amplitude 15 cm and frequency 4 Hz. C...

    Text Solution

    |

  5. A particle is moving in SHM in a straight line. When the distance of t...

    Text Solution

    |

  6. A particle executes SHM of period 1.2 s and amplitude 8cm. Find the ti...

    Text Solution

    |

  7. A particle executes SHM of amplitude 20cm and time period 2s. What is ...

    Text Solution

    |

  8. A particle moving with SHM in a straight line has a speed of 6m//s wit...

    Text Solution

    |

  9. A body executes SHM under the influence of one force with a time perio...

    Text Solution

    |

  10. From the figure, obtain the equation of simple harmonic motion of the...

    Text Solution

    |

  11. Two particles execute simple harmonic motion of same amplitude and fre...

    Text Solution

    |

  12. The displecement-time equation of a particle executing SHM is x = A si...

    Text Solution

    |

  13. Maximum velocity of a particle in SHM is 10 cm//s . What is the averag...

    Text Solution

    |

  14. A person normally weighing 60 kg stands on a platform which oscillates...

    Text Solution

    |

  15. A block lying on a horizontal table executes SHM of period 1 second, h...

    Text Solution

    |

  16. If the displacement of a moving point at any time is givenby an equat...

    Text Solution

    |

  17. Two linear SHM of equal amplitudes A and frequencies omega and 2omega ...

    Text Solution

    |

  18. Two simple harmonic motions are represented by the following equations...

    Text Solution

    |

  19. A block is resting on a piston which is moving vertically with simple ...

    Text Solution

    |

  20. A block is kept on a horizontal table. The stable is undergoing simple...

    Text Solution

    |