Home
Class 11
PHYSICS
At what angle should the two forces vect...

At what angle should the two forces vectors 2F and `sqrt(2)` F act so that the resultant force is `sqrt(10)F`

Text Solution

Verified by Experts

`A=2F,B=sqrt(2) F,R=sqrt(10)F`
`R^(2)=A^(2)+B^(2)=2AB cos theta`
`rArr 10F^(2)=4F^(2)+2(2F)sqrt(2)F cos theta`
`rArr cos theta=1//sqrt(2)rArr theta =45^(@)`
Promotional Banner

Topper's Solved these Questions

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise 3.2|13 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Subjective|28 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 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

At what angle should the two forces 2P and sqrt(2P) and Psqrt(2)P act so that resultant force is Psqrt(10) ?

At what angle must the two forces (x+y) and (x-y) act so that the resultant may be sqrt(x^(2)+y^(2)) ?

At what angle must the two forces (x+y) and (x-y) act so that the resultant may be sqrt(x^(2)+y^(2))

At what angle must the two forces (x+y) and (x-y) act so that the resultant may be sqrt((x^(2)+y^(2))) :-

AT what angle two forces (P +Q) and (P-Q) act so that resultant is (i) sqrt(2 P^2 + Q^2) (ii) sqrt(2 P^2 + Q^2) (iii) sqrt(2 P^2 + Q^2) .

The resultant of two forces 2P and sqrt(2)P is sqrt(10)P .The angle between the forces is

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

At what angle the two force overset(rarr)A+overset(rarr)B and overset(rarr)A-overset(rarr)B act so that their resultant is sqrt(3A^(2)+B^(2)) ?

CENGAGE PHYSICS-VECTORS-Exercise 3.1
  1. A car travles 6km towards north at an angle of 45^(@) to the east and ...

    Text Solution

    |

  2. There are two forces vector,one of 5N and other of 2N. At what angle s...

    Text Solution

    |

  3. Given that vec(A)+vec(B)+vec(C )=vec(0). Out of three vectors, two are...

    Text Solution

    |

  4. If vec(A)=4hat(i)-3hat(j) and vec(B)=6hat(i)+8hat(j),then find the mag...

    Text Solution

    |

  5. A truck travelling due to north at 20m s^(-1) turns west and travels a...

    Text Solution

    |

  6. If the sum of two unit vectors is a unit vector,then find the magnitud...

    Text Solution

    |

  7. The sum of the magnitudes of two forces acting at a point is 18 and th...

    Text Solution

    |

  8. Two forces F(1)=1N and F(2)=2N act along the lines x=0 and y=0, respec...

    Text Solution

    |

  9. Let vec(A)=2hat(i)+hat(j),B=3hat(j)-hat(k) and vec(C )=6hat(i)-2hat(k)...

    Text Solution

    |

  10. A vector vec(a) is turned without a change in its length through a sma...

    Text Solution

    |

  11. An object of m kg with speed of m s^(-1) strikes a wall at an angle th...

    Text Solution

    |

  12. If A=3hat(i)+4hat(j) and B=7hat(i)+24hat(j),find the vector having the...

    Text Solution

    |

  13. Vector vec(A) makes equal angles with x-,y-,and z-axis. Find the value...

    Text Solution

    |

  14. Find the vector that must be added to the vector hat(i)-3hat(j)+2hat(k...

    Text Solution

    |

  15. At what angle should the two forces vectors 2F and sqrt(2) F act so ...

    Text Solution

    |

  16. Two forces, while acting on particle in opposite directions,have the r...

    Text Solution

    |

  17. Two forces each equal to F//2 act at right angle. Their effect may be ...

    Text Solution

    |

  18. The resultant of two forces has magnitude 20N. One of the forces is of...

    Text Solution

    |

  19. The resultant of vec(P) and vec(Q) is vec(R). If vec(Q) is doubled, ve...

    Text Solution

    |