Home
Class 11
PHYSICS
Four forces of magnitude P, 2P, 3P and 4...

Four forces of magnitude P, 2P, 3P and 4P act along the four sides of a square ABCD in cyclic order. Use the vector method to find the magnitude of resultant force.

Text Solution

Verified by Experts

The correct Answer is:
`2sqrt2 P, 225^@`
Promotional Banner

Topper's Solved these Questions

  • UNITS AND DIMENSION

    NN GHOSH|Exercise EXERCISE|26 Videos

  • VELOCITY OF SOUND

    NN GHOSH|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Four forces of magnitudes P,2P,3P and 4P act along the four sides of a square ABCD in cyclic order.Use the vector method to find the resultant force.

three vectors each of magnitude 1N acts along the sides AB,BC,CD of regular hexagon ABCDEF as shown in figure.find the magnitude of their resultant.

Forces proportional to AB, BC & 2 CA act along the sides of triangle ABC in order, their resultant represented in magnitude and direction as:

Three forces of magnitudes 2N, 3N and 6N act at corners of a cube along three sides as shown in figure. Find the resultant of these forces in N.

Three equla force, each of magnitude P, act along the side AB, BC, and CA of a trangle. Calculate the resultant force.

Two horizontal forces of magnitudes of 10N and P N act on a particle. The force of magnitude 10N acts due west and the force of magnitude P N acts on a bearing of 30^(@) east of north as shown in (figure) The resultant of these two force acts due north. Find the magnitude of the resultant.

Three ant P,Q and R are pulling a grain with forces of magnitude 6N,3sqrt(3) N " and " 3sqrt(2)N as shown in the figure. Find the magnitude of resultant force (in N ) acting on the grain .

The greatest & the least magnitude of the resultant of two forces of constant magnitudes are P & Q respectively. If the forces act at an angle 2 alpha , then prove that the magnitude of their resultant is given by sqrt(P^(2) cos^(2) alpha+Q^(2) sin^(2) alpha) .

NN GHOSH-VECTOR AND SCALARS-All Questions
  1. Find the angle between veca=3veci+3vecj-3veck and vecb=2veci+vecj+3vec...

    Text Solution

    |

  2. A car is driven eastward for a distance of 50 km, then northward for 3...

    Text Solution

    |

  3. Four forces of magnitude P, 2P, 3P and 4P act along the four sides of ...

    Text Solution

    |

  4. Find the direction cosines and unit vector along the vector vecr=2veci...

    Text Solution

    |

  5. Prove by the method of vectors that in a triangle a/(sin A)=b/(sinB)=c...

    Text Solution

    |

  6. Show that if vecA. (vecBxxvec c)=0, then vecA, vecB and vec c are copl...

    Text Solution

    |

  7. Show that veca.(vecbxxvec c) is equal in magnitude to the volume of th...

    Text Solution

    |

  8. Prove that for a vector veca defined by veca=axveci+ayvecj+azveck, the...

    Text Solution

    |

  9. If vecb and vec c be the intersecting face-diagonals of a cube of edge...

    Text Solution

    |

  10. Show that the position vector of a place on the surface of the earth w...

    Text Solution

    |

  11. A man rows a boat with a speed 10 m/s along N-E direction. The shore l...

    Text Solution

    |

  12. A force vecF=5veci+2vecj+veck displaces a body from a point with coord...

    Text Solution

    |

  13. If the sum and difference of two vectors are at right angles, show tha...

    Text Solution

    |

  14. Prove that (vecaxxvecb)^2=veca^2b^2-(veca.vecb)^2.

    Text Solution

    |

  15. Show that if two vectors are equal in magnitude, their vector sum and ...

    Text Solution

    |

  16. Find the area of the parallelogram whose sides are represented by 2h...

    Text Solution

    |

  17. Show that (veca+vecb)xx(veca-vecb)=-2(vecaxxvecb) and use this result ...

    Text Solution

    |

  18. Find the equation of a line through a point C of position vector vec c...

    Text Solution

    |

  19. Find the moment of a force , vecF=3veci+2vecj acting at point vecr=vec...

    Text Solution

    |

  20. If vecP+vecQ=vecR and vecP-vecQ=vecS, prove that vecR^2+vecS^2=2(vecP^...

    Text Solution

    |