Home
Class 11
PHYSICS
A particle of mass m = 2kg executes SHM ...

A particle of mass `m = 2kg` executes `SHM` in `xy`- plane between point A and B under action of force `vecF = F_(x)hati+F_(y)hatj`. Minimum time taken by particle to move from A to B is 1 sec. At `t = 0` the particle is at `x = 2` and `y = 2`. Then `F_(x)` as function of time t is

A

`-4pi^(2) sin pit`

B

`-4pi^(2) cos pit`

C

`4pi^(2) cos pit`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Multiple Correct Answer Type|9 Videos
  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS|Exercise Single correct anwer type|14 Videos
  • KINETIC THEORY OF GASES AND FIRST LAW OF THERMODYNAMICS

    CENGAGE PHYSICS|Exercise Interger|11 Videos
  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Interger type|3 Videos

Similar Questions

Explore conceptually related problems

A particle of mass 2 kg moves in the xy plane under the action of a constant force vec(F) where vec(F)=hat(i)-hat(j) . Initially the velocity of the particle is 2hat(j) . The velocity of the particle at time t is

Particle moves from point A to point B along the line shown in figure under the action of force. evc F = - x hati + y hatj . Determine the work done on the particle by vec F in moving the particle from point A to point B.

A particle of mass 2 kg starts motion at time t = 0 under the action of variable force F = 4t (where F is in N and t is in s). The work done by this force in first two

A particle of mass m moves from A to C under the action of force vecF = 2xyhati + y^2 hatj , along different paths as shown in figure.

(i) A particle of mass m executes SHM in xy- plane along a straight line AB. The points A (a, a) and B (- a, - a) are the two extreme positions of the particle. The particle takes time T to move from one extreme A to the other extreme B. Find the x component of the force acting on the particle as a function of time if at t = 0 the particle is at A. (ii) Two particle A and B are performing SHM along X-axis and Y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions for the particles A and B are at the coordinate (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium position and moving toward the origin, while A is nearest to the origin. Find the maximum and minimum distances between A and B during their course of motion

A particle of mass m is subjected to a force vecF=F_(0)[cos (t)hati+sin(1)hatj] . If initially (t=0) the particle was at rest, the kinetic energy of the particle as a function of time is given by:

A particle is moving in X-Y plane that x=2t and y=5sin(2t). Then maximum speed of particle is:

A body of mass 5 kg under the action of constant force vec(F)=F_(x)hati+F_(y)hatj has velocity at t=0 s as vecv=(6hati-2hatj) m/s and at t=10s as vecv=+6hatj m/s. The force vecF is:

A particle moves in the x-y plane under the action of a force vec F such that its linear momentum vec P at any time t is vec P=2cost hati+2sint hatj . The angle between vec F and vec P at a given time t will be

CENGAGE PHYSICS-LINEAR AND ANGULAR SIMPLE HARMONIC MOTION-Single Correct Answer type
  1. A particle executes simple harmonic motion with an amplitude of 4 cm...

    Text Solution

    |

  2. A particle is executing SHM acccording to the equation x=A cos omegat....

    Text Solution

    |

  3. The total enefgy of the boby executing S.H.M is E.Then . The kinetic...

    Text Solution

    |

  4. A body is executing siniple Harmonic Motion . At displament its p...

    Text Solution

    |

  5. An object of mass 0.2 kg execurtes Simple harmonic along X-axis w...

    Text Solution

    |

  6. A particle of mass (m) is executing oscillations about the origin on t...

    Text Solution

    |

  7. The variation of potenial energy of harmoic oscillartor is as show ...

    Text Solution

    |

  8. A particle is executing SHM between points-X(m)andX(m), as shown in fi...

    Text Solution

    |

  9. One end of a spring of force constant k is fixed to a vertical wall an...

    Text Solution

    |

  10. Three masses 700g, 500g, and 400 g are suspended at the end of a sprin...

    Text Solution

    |

  11. Four massless springs whose force constants are 2k,2k, k and 2k, respe...

    Text Solution

    |

  12. A body at the end of a spring executes SHM with a period t(1), while t...

    Text Solution

    |

  13. Two identical springs are attached to a small block P. The other ends ...

    Text Solution

    |

  14. Figure shows a system consisting of a massless pulley, a spring of for...

    Text Solution

    |

  15. A block of mass m is at rest on the another blcok of same mass as show...

    Text Solution

    |

  16. The displacement of a particle from its mean position (in metre) is gi...

    Text Solution

    |

  17. The displacement of a particle varies with time as x = 12 sin omega t ...

    Text Solution

    |

  18. A particle is acted simultaneously by mutually perpendicular simple ha...

    Text Solution

    |

  19. A disc of radius R and mass M is pivoted at the rim and it set for sma...

    Text Solution

    |

  20. A particle of mass m = 2kg executes SHM in xy- plane between point A a...

    Text Solution

    |