Home
Class 11
PHYSICS
Write the vector representation of the v...

Write the vector representation of the vectors A and B with respect to the frame of reference shown in the figure.

Text Solution

Verified by Experts

The correct Answer is:
`vec(A)=A sin theta hat(i)- A cos theta hat(k), vec(B)=B sin theta hat(j)-B cos theta hat(k)`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exersice-4[B]|14 Videos

  • MISCELLANEOUS

    ALLEN |Exercise EXERCISE-5(A)|15 Videos

  • MISCELLANEOUS

    ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

The vectors a,b and a+b are

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

Find the resultant of the three vector OvecA,OvecB and OvecC of magnitude r as shown in figure.

Write all the unit vectors in XY - plane.

Positions of two vechicles A and B with reference to origin O and their velocities are as shown.

The resultant of the vectors A and B is perpendicular to the vector A and its magnitude is equal to half the magnitude of vector B. The angle between vecA" and "vecB is :-

Write the distributive law for the product of two vectors.

ALLEN -MISCELLANEOUS-Exercise-04 [A]
  1. The position vector of car w.r.t. its starting point is given as vecr=...

    Text Solution

    |

  2. Answer the following : (i) A vector has magnitude & direction. Does ...

    Text Solution

    |

  3. A room has dimensions 3 m xx 4 m xx5 m. A fly starting at one cronet e...

    Text Solution

    |

  4. Vector vec(a) has components a(x)=3, a(y)=4. Find the components of a ...

    Text Solution

    |

  5. Find: (i) "north cross west" " " (ii) "down dot south" (iii) "we...

    Text Solution

    |

  6. The position vector of a particle of mass m= 6kg is given as vec(r)=[(...

    Text Solution

    |

  7. A plane body has perpendicular axes OX and OY marked on it and is acte...

    Text Solution

    |

  8. State with reasons, whether the following algebraic operations with sc...

    Text Solution

    |

  9. A car travels due east on a level road for 30 km. It then turns due no...

    Text Solution

    |

  10. Write the vector representation of the vectors A and B with respect to...

    Text Solution

    |

  11. Find the kinetic energy of a particle of mass 200 g moving with veloci...

    Text Solution

    |

  12. Acceleration of particle moving in straight line can be written as a=(...

    Text Solution

    |

  13. The position vector of an object moving in X-Z plane is vec(r)=v(0)tha...

    Text Solution

    |

  14. The position of a particle at time t is given by the relation x(t)=((V...

    Text Solution

    |

  15. The related equations are : Q=mc(T(2)-T(1)), l(1)=l(0)[1+alpha(T(2)-T(...

    Text Solution

    |

  16. A particle of mass m is in a uni-directional potential field where the...

    Text Solution

    |

  17. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  18. A projectile fired at an angle of 45^(@) travels a total distance R, c...

    Text Solution

    |

  19. In the formula P=(nRT)/(V-b)e^(-a/(RTV)). Find the dimensions of a and...

    Text Solution

    |

  20. If instead of mass, length and time as fundamental quantities we choos...

    Text Solution

    |