Home
Class 12
PHYSICS
A particle executing S.H.M. has angular ...

A particle executing S.H.M. has angular frequency `6.28 s^(-1)` and amplitude 10 cm find (a) the time period (b) the maximum speed ( c ) the maximum acceleration (d) the speed when the displacement is 6 cm from the mean postiton ( e ) the speed at `t=1//6`s assuming that the motion starts from rest at t=0

Text Solution

Verified by Experts

The correct Answer is:
`"["1s,0.628(m)/(s),4(m)/(s^(2)),50.2(cm)/(s),-54.4(cm)/(s)"]"`
Promotional Banner

Topper's Solved these Questions

  • RACE

    ALLEN |Exercise Basic Maths (Oscillations) (Energy & spring pendulum)|17 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Oscillations) (Simple pendulum and types of SHM)|17 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Thermal Physics) (Thermodynamic process)|20 Videos

  • NEWTONS LAWS OF MOTION

    ALLEN |Exercise EXERCISE-III|28 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Example|1 Videos

Similar Questions

Explore conceptually related problems

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2s . Find the acceleration and velocity of the body when the displacement is 0 cm.

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2s . Find the acceleration and velocity of the body when the displacement is 5 cm.

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2s . Find the acceleration and velocity of the body when the displacement is 3 cm.

A body describes simple harmonic motion with an amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm (b) 3 cm (c) 0 cm.

The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is

Two simple harmonic motions of angular frequency 100 and 1000 rad s^(-1) have the same displacement amplitude. The ratio of their maximum acceleration is………

A particle executing SHM has a maximum speed of 30 cm"/"s and a maximum acceleration of 60 cm"/"s^(2) . The period of oscillation is………..

A paricle performs S.H.M. with time period T . The time taken by the particle to move from half the amplitude to the maximum dispalcement is

A car acquires a velocity of 72 km//h in 10 seconds starting from rest. Find (a) the acceleration (b) the average speed ( c ) the distance travelled in this time.

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.

ALLEN -RACE-Basic Maths (Dscillations) (Kinematics of SHM)
  1. Two particles executing SHM of same frequency meet at x=+(sqrt(3)A)/(2...

    Text Solution

    |

  2. A particle is executing SHM with time period T Starting from mean posi...

    Text Solution

    |

  3. A particle executes simple harmonic motion according to equation 4(d^(...

    Text Solution

    |

  4. The plot of velocity (v) versus displacement (x) of a particle executi...

    Text Solution

    |

  5. Figure shows the position-time graph of an abject in SHM. The correct ...

    Text Solution

    |

  6. A particle executes SHM according to equation x=10(cm)cos[2pit+(pi)/(2...

    Text Solution

    |

  7. A particle of mass m in a unidirectional potential field have potentia...

    Text Solution

    |

  8. A particle executing S.H.M. has angular frequency 6.28 s^(-1) and ampl...

    Text Solution

    |

  9. A body makes angular simple harmonic motion of amplitude pi//10rad and...

    Text Solution

    |

  10. The vertical motion of a ship at sea is described by the equation (d^(...

    Text Solution

    |

  11. The equation of motion of a partivel of mass 1g is (d^(2)x)/(dt^(2)) +...

    Text Solution

    |

  12. The time taken by a particle performing SHM to pass from point A and B...

    Text Solution

    |

  13. The phase difference between two SHM y(1) = 10 sin (10 pi t + (pi)/(3)...

    Text Solution

    |

  14. A small mass executes linear S.H.M. executes linear S.H.M. about O wit...

    Text Solution

    |

  15. Two SHM are represcnted by equations y(1)=6cos(6pit+(pi)/(6)),y(2)=3(s...

    Text Solution

    |

  16. The phase difference between the displacement and acceleration of a pa...

    Text Solution

    |

  17. The acceleration of a particle moving along x-axis is a=-100x+50. It i...

    Text Solution

    |

  18. The acceleration of a certain simple harmonic oscillator is given by ...

    Text Solution

    |

  19. A particle executes simple harmonic motion with a period of 16s. At ti...

    Text Solution

    |

  20. Two particle P and Q describe S.H.M. of same amplitude a same frequenc...

    Text Solution

    |