Home
Class 11
PHYSICS
A particle has co-ordinates (x, y). Its ...

A particle has co-ordinates (x, y). Its position vector makes on angle `theta` with positive x direction. In an infinitesimally small interval of time the particle moves such that length of its position vector does not change but angle `theta` increases by `d theta`. Express the change in position vector of the particle in terms of x, y, `d theta` and unit vectors `hati` and `hatj`.

Promotional Banner

Topper's Solved these Questions

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-1|86 Videos

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-2|25 Videos

  • DESCRIPTION OF MOTION

    ANURAG MISHRA|Exercise Level-3|34 Videos

  • FORCE ANALYSIS

    ANURAG MISHRA|Exercise Matching type|13 Videos

Similar Questions

Explore conceptually related problems

A vector of length l is turned through the angle theta about its tail. What is the change in the position vector of its head ?

A vector vecA is rotated through angle theta about its tail. Change of position vector of its tip of is:

A particle moves in a plane such that its coordinates changes with time as x = at and y = bt , where a and b are constants. Find the position vector of the particle and its direction at any time t.

The length of the focal chord which makes an angle theta with the positive direction of x -axis is 4a cos ec^(2)theta

Write down a unit vector in XY-plane,making an angle of 30 with the positive direction of x- axis.

If position vector of points A,B and C are respectively hati,hatj, and hatk and AB=CX , then position vector of point X is

The position vector of a particle is r = a sin omega t hati +a cos omega t hatj The velocity of the particle is

The vector sum of two force P and Q is minimum when the angle theta between their positive directions , is

The position vector of the centre of mass of a system of particles is the _________ of the position vectors of the particles, each particle making a contribution proportional to its _________

A particle is moving with constant speed v along the line y = a in positive x -direction. Find magnitude of its angular velocity about orgine when its position makes an angle theta with x-axis.

ANURAG MISHRA-DESCRIPTION OF MOTION-Example
  1. A particle moves in the x-y plane under the action of a force vecF suc...

    Text Solution

    |

  2. The velocity of a particle is 3hati+2hatj+3hatk. Find the vector compo...

    Text Solution

    |

  3. A particle has co-ordinates (x, y). Its position vector makes on angle...

    Text Solution

    |

  4. If two non-zero vectors vecA and vecB obey the relation vecA+vecB=vecA...

    Text Solution

    |

  5. hati and hatj are unit vectors along x-axis and y-axis respectively wh...

    Text Solution

    |

  6. Given veca=hati+2hatj+3hatk,vecb=-hati++2hatj+hatk and vec c=3hati+hat...

    Text Solution

    |

  7. If veca=2hati+3hatj+6hatk and vecb=6hati+3hatj-2hatk, find the angle, ...

    Text Solution

    |

  8. A cyclist starting from a point A travels 200m due north to a point B ...

    Text Solution

    |

  9. A particle is travelling in a straight line, it has a initial velocity...

    Text Solution

    |

  10. A particle moves in a straight line with constant velocity of 5 ms^(-1...

    Text Solution

    |

  11. Differentiate (a). f(x)=(1)/(x^(2)) (b). y=root2(x^(2))

    Text Solution

    |

  12. Find the points on the curve y=x^(4)-6x^(2)+4 where the tangent line i...

    Text Solution

    |

  13. if f(x)=xe^(x) find f'(x)

    Text Solution

    |

  14. Differentiate the function f(t)=sqrt(t)(1-t)

    Text Solution

    |

  15. if f(x)=sqrt(xg)(x) where g(4)=2 and g(4)=3,findf(4)

    Text Solution

    |

  16. Find an equation of the tangent line to the curve y=e^(x)//(1+x^(2)) a...

    Text Solution

    |

  17. differentiate y=x^(2)sinx.

    Text Solution

    |

  18. Differentiate y=tanx

    Text Solution

    |

  19. Find F'(x) if (F(x)=sqrt(x^(2)+1))

    Text Solution

    |

  20. Differentiate y=(x^(3)-1)^(100)

    Text Solution

    |