Home
Class 11
PHYSICS
A straight rigid rod of mass M and lengt...

A straight rigid rod of mass `M` and length `L` lies on a smooth horizontal table. Taking the co-ordinate axes as shown in the figure and assuming an average force `ltFgt` acting for a small time interval `(/_\t)`, at the end `A`, making an angle `30^@` with the `X`-axis, Based on the above passege, answer the following questions.
Linear velocity of the `CM` of rod is

A

`(ltFgt(/_\t))/(2m)/(2m)(sqrt(3)hati+hatj)`

B

`(ltFgt(/_\t))/(2m)/(2m)(sqrt(5)hati+2hatj)`

C

`(ltFgt(/_\t))/(2m)/m(sqrt(3)hati+hatj)`

D

`(ltFgt(/_\t))/(2m)/m(sqrt(5)hati+hatj)`

Text Solution

Verified by Experts

The correct Answer is:
A
`J_x=MV_ximpliesV_x=(Jcos30^@)/M`
`J_y=MV_yimpliesV_y=(Jcos30^@)/M`
Hence `vecv=v_xhati=v_yhatj`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise INTEGER_TYPE|10 Videos

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS|Exercise MCQ_TYPE|20 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS|Exercise Interger type|3 Videos

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS|Exercise Integer|5 Videos

Similar Questions

Explore conceptually related problems

A straight rigid rod of mass M and length L lies on a smooth horizontal table. Taking the co-ordinate axes as shown in the figure and assuming an average force ltFgt acting for a small time interval (/_\t) , at the end A , making an angle 30^@ with the X -axis, Based on the above passege, answer the following questions. Angular velocity of rod about O is

A straight rigid rod of mass M and length L lies on a smooth horizontal table. Taking the co-ordinate axes as shown in the figure and assuming an average force ltFgt acting for a small time interval (/_\t) , at the end A , making an angle 30^@ with the X -axis, Based on the above passege, answer the following questions. The angular impulse, due to the force about O , is

A rod AB of mass M and length L lies on smooth horizontal table impulse J is applied to end A as shown in the figure immediately after imparting the impulse :

A uniform rod of mass m and length l is on the smooth horizontal surface. When a constant force F is applied at one end of the rod for a small time t as shown in the figure. Find the angular velocity of the rod about its centre of mass.

A uniform rod of mass m and length l is placed over a smooth horizontal surface along the y -axis and is at rest as shown in Fig. An impulsive force F is applied for a small time /_\t along x -direction at point A . The x -coordinate of end A of the rod when the rod becomes parallel to x -axis for the first time is [initially, the coordinate of centre of mass of the rod is (0, 0) ]

A uniform rod of mass m, length l is placed over a smooth horizontal surface along y -axis and is at rest as shown in figure. An impulsive force F is applied for a small time Deltat along x-direction at point A. The x-coordinte of end A of the rod when the rod becomes parallel to x-axis for the first is (in itially the coordinates opf centre of mass of the rod is (0,0).

A uniform thin rod of mass m and length l is standing on a smooth horizontal surface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A uniform thin rod of mass m and length l is standing on a smooth horizontal suface. A slight disturbance causes the lower end to slip on the smooth surface and the rod starts falling. Find the velocity of centre of mass of the rod at the instant when it makes an angle theta with horizontal.

A thin uniform rod of mass M and length L is lying on a smooth horizontal floor. It is struck by a force F normally at one end. The contact lasts for a very small time t_(0) . Find the distance traveled by the rod in the time in which it is turned by pi//2 .

CENGAGE PHYSICS-MISCELLANEOUS VOLUME 2-LC_TYPE
  1. A straight rigid rod of mass M and length L lies on a smooth horizonta...

    Text Solution

    |

  2. A straight rigid rod of mass M and length L lies on a smooth horizonta...

    Text Solution

    |

  3. A straight rigid rod of mass M and length L lies on a smooth horizonta...

    Text Solution

    |

  4. A planet is revolving around the sun in an elliptcal orbit. Its KE is ...

    Text Solution

    |

  5. A planet is revolving around the sun in an elliptcal orbit. Its KE is ...

    Text Solution

    |

  6. A planet is revolving around the sun in an elliptcal orbit. Its KE is ...

    Text Solution

    |

  7. A train is moving with a constant speed of 10m//s in a circle of radiu...

    Text Solution

    |

  8. A train is moving with a constant speed of 10m//s in a circle of radiu...

    Text Solution

    |

  9. A train is moving with a constant speed of 10m//s in a circle of radiu...

    Text Solution

    |

  10. A model rocket rests on a frictionless horizontal surface and is joine...

    Text Solution

    |

  11. A model rocket rests on a frictionless horizontal surface and is joine...

    Text Solution

    |

  12. A model rocket rests on a frictionless horizontal surface and is joine...

    Text Solution

    |

  13. Two ropes are puling a large ship at rest of mass 1xx106kg into harbou...

    Text Solution

    |

  14. Two ropes are puling a large ship at rest of mass 1xx106kg into harbou...

    Text Solution

    |

  15. Two ropes are puling a large ship at rest of mass 1xx106kg into harbou...

    Text Solution

    |

  16. In the given figure F=10N, R=1m, mass of the body is 2kg and moment of...

    Text Solution

    |

  17. In the given figure F=10N, R=1m, mass of the body is 2kg and moment of...

    Text Solution

    |

  18. A disc having radius R is rolling without slipping on a horizontal (x-...

    Text Solution

    |

  19. A disc having radius R is rolling without slipping on a horizontal (x-...

    Text Solution

    |

  20. A cylindrical container of length L is full to the brim with a liquid ...

    Text Solution

    |