Home
Class 11
PHYSICS
Two forces, each equal to F, act as show...

Two forces, each equal to F, act as shown in (figure) Their resultant is

A

`F//2`

B

`F`

C

`sqrt(3) F`

D

`sqrt(5)F`

Text Solution

Verified by Experts

The correct Answer is:
B

Note that the angle between two forces is `120^(@)` and not `160^(@)`
`R^(2)=F^(2) +F^(2)+2F^(2) cos 120^(@)`
`=2F^(2)+2F^(2) (-1/2) F^(2)`
or `R=F`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos
  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Subjective|28 Videos
  • TRAVELLING WAVES

    CENGAGE PHYSICS|Exercise Integer|9 Videos
  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (integer)|4 Videos

Similar Questions

Explore conceptually related problems

In the given figure O is the centre of regular pentagon ABCDE . Five forces each of magnitude F_(0) are acted as shown in figure. The resultant force is

Two forces, each numerically equal to 5 N, are acting as shown in the figure. Then the resultant is

Two forces each numerically equal to 5N are acting as shown in the figure, then find resultant of these two vectors.

Four coplanar forces are applied at a point O. Each of them is equal to k and the angle between consecutive forces equals 45^(@) as shown in the figure.Then the resultant has the magnitude equal to:

Two forces each equal to F//2 act at right angle. Their effect may be neutralized by a third force acting along their bisector in the opposite direction. What is the magnitude of that third forces.

Two forces , each numerically equal to 10 dyne are acting as shown in the following figure Their resultant is :

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.

Two force each numerically equal to 10 dynes are acting as shown in the figure, then find resultant of these two vectors.

Three forces acting on a body are shown in figure. To have the resultant force only along the y-directon, the magnitude of the minimum additional force needed si

Two magnets of equal magnetic moments M each are placed as shown in figure below . The resultant magnetic moment is M . Then value of theta is

CENGAGE PHYSICS-VECTORS-Exercise Single Correct
  1. The resultant of two vectors vec(A) and vec(B) is perpendicular to the...

    Text Solution

    |

  2. The ratio of maximum and minimum magnitudes of the resultant of two ve...

    Text Solution

    |

  3. Two forces, each equal to F, act as shown in (figure) Their resultant ...

    Text Solution

    |

  4. Vector vec(A) is 2cm long and is 60^(@) above the x-axis in the first ...

    Text Solution

    |

  5. What is the angle between two vector forces of equal magnitude such th...

    Text Solution

    |

  6. The angle between vec(A)+vec(B) and vec(A)xxvec(B) is

    Text Solution

    |

  7. The projection of a vector vec(r )=3hat(i)+hat(j)+2hat(k) on the x-y p...

    Text Solution

    |

  8. If |vec(A)+vec(B)|=|vec(A)|=|vec(B)| then the angle between vec(A) and...

    Text Solution

    |

  9. If vector vec(A)=hat(i)+2hat(j)+4hat(k) and vec(B)=5hat(i) represent t...

    Text Solution

    |

  10. Given |vec(A)(1)|=2,|vec(A)(2)|=3 and |vec(A)(1)+vec(A)(2)|=3. Find th...

    Text Solution

    |

  11. Three vector vec(A),vec(B), vec(C ) satisfy the relation vec(A)*vec(B)...

    Text Solution

    |

  12. If vec(A)=vec(B)+vec(C ), and the magnitudes of vec(A),vec(B),vec(C ) ...

    Text Solution

    |

  13. Given: vec(A)=Acos theta hat(i)+Asin theta hat(j). A vector vec(B), wh...

    Text Solution

    |

  14. The angle which the vector vec(A)=2hat(i)+3hat(j) makes with the y-axi...

    Text Solution

    |

  15. Given vec(P)=3hat(i)-4hat(j). Which of the following is perpendicular ...

    Text Solution

    |

  16. In going from one city to another, a car travles 75km north, 60km noth...

    Text Solution

    |

  17. What is the angle between vec(A) and vec(B), If vec(A) and vec(B) are ...

    Text Solution

    |

  18. Two vectors vec(a) and vec(b) are such that |vec(a)+vec(b)|=|vec(a)-ve...

    Text Solution

    |

  19. Given vec(A)=4hat(i)+6hat(j) and vec(B)=2hat(i)+3hat(j). Which of the ...

    Text Solution

    |

  20. Given vec(A)=2hat(i)+phat(j)+qhat(k) and vec(B)=5hat(i)+7hat(j)+3hat(k...

    Text Solution

    |