Home
Class 11
PHYSICS
The position vectors particle has length...

The position vectors particle has length 1m and makes `30^(@)` with the x-axis. What are the lengths of the x and y components of the position vector?

Text Solution

Verified by Experts

`:. l_(x) = l cos theta =1*cos 30^(@) = (sqrt(3))/(2)m`
`l_(y) = l sin theta = 1* sin 30^(@) = 1*(1)/(2)`
`= 0 . 5 m `
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (I.Multiple choice questions).|236 Videos
  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Other important questions & answers (II. Very short answer questions).|112 Videos
  • KINEMATICS

    PREMIERS PUBLISHERS|Exercise Textbook questions & answers (III. Long answer questions).|16 Videos
  • GRAVITATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTION & ANSWERS (CONCEPTUAL QUESTIONS)|34 Videos
  • KINETIC THEORY OF GASES

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT QUESTIONS & ANSWERS (VI. Conceptual Questions.)|8 Videos

Similar Questions

Explore conceptually related problems

What is position vector?

The position vector of the particle is vecr=3t^2 hati+5t hatj+9hatk . What is the acceleration of the particle?

The position vector of a particle is vecr=4t^(2)hati+2thatj+3thatk . The acceleration of a particle is having only

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

Two bodies of mass 1kg and 3kg have position vectors hati+2hatj+hatk and -3hati-2hatj+hatk , respectively.The centre of mass of this system has a position vector.

PREMIERS PUBLISHERS-KINEMATICS -Textbook questions & answers (IV. Numerical problems).
  1. The position vectors particle has length 1m and makes 30^(@) with the ...

    Text Solution

    |

  2. A particle has its position moved from vec(r(1))=3hati+4hatj to vec(r(...

    Text Solution

    |

  3. Calculate the average velocity of the particle whose position vector c...

    Text Solution

    |

  4. Convert the vector vecr=3hati+2hatj into a unit vector.

    Text Solution

    |

  5. What are the resultants of the vector product of two given vectors giv...

    Text Solution

    |

  6. An object at an angle such that the horizontal range is 4 time of the ...

    Text Solution

    |

  7. The following graphs represent velocity- time graph. Identify what kin...

    Text Solution

    |

  8. The following velocity-time graph represents a particle moving in the ...

    Text Solution

    |

  9. A particle is projected at an angle of theta with respect to the horiz...

    Text Solution

    |

  10. A water fountain on the ground sprinkles water all around it. If the s...

    Text Solution

    |

  11. The following table gives the range of a particle when thrown on diffe...

    Text Solution

    |

  12. The resultant of two vectors A and B is perpendicular to vector A and ...

    Text Solution

    |

  13. Compare the components for the following vector equations (a) Th...

    Text Solution

    |

  14. Calculate the area of the triangle for which two of its sides are give...

    Text Solution

    |

  15. If Earth completes one revolution in 24 hours, what is the angular dis...

    Text Solution

    |

  16. An object is thrown with initial speed 5ms^(-1) with an angle of proje...

    Text Solution

    |

  17. A foot - ball player hits tha ball with speed 20ms^(-1) with angle 30...

    Text Solution

    |

  18. If an object is thrown horizontally with an initial speed "10 ms"^(-1)...

    Text Solution

    |

  19. An object is executing uniform circular motion with an angular speed o...

    Text Solution

    |

  20. Consider the x - axis as representing east, the y - axis as north and ...

    Text Solution

    |