Home
Class 11
PHYSICS
Find the net torque of these following ...

Find the net torque of these following forces about origin `vec(F)_(1) = hat(i) - hat(j) ` acting at ` vec(r_(1))= 2hat(i) + hat(j), vec(F)_(2) = -hat(i) + hat(j)` acting at `vec(r_(2)) =hat(i) +2hat(j) & vec(F)_(3) = hat(i) +hat(j) `acting at `vec(r )_(3) = hat(i) - hat(j)` .

Text Solution

AI Generated Solution

To find the net torque about the origin due to the given forces and their respective position vectors, we will follow these steps: ### Step 1: Define the Torque Formula The torque \( \vec{\tau} \) produced by a force \( \vec{F} \) acting at a position vector \( \vec{r} \) is given by the cross product: \[ \vec{\tau} = \vec{r} \times \vec{F} \] ...
Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 1|9 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    NARAYNA|Exercise EVALUATE YOURSELF - 4|11 Videos
  • SYSTEM OF PARTICLES

    NARAYNA|Exercise Level-VI|78 Videos
  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos

Similar Questions

Explore conceptually related problems

The work done by the force vec( F ) = 6 hat(i) + 2 hat(j) N in displacing an object from vec( r_(1)) = 3 hat(i) + 8 hat( j) to vec( r_(2)) = 5 hat( i) - 4 hat(j) m , is

Find the area of the parallelogram whose diagonals are represented by the vectors (i) vec(d)_(1)= 3 hat(i) + hat(j) - 2 hat(k) and vec(d)_(2) = hat(i) - 3 hat(j) +4 hat(k) (ii) vec(d)_(1)= 2 hat(i) - hat(j) + hat(k) and vec(d)_(2)= 3 hat(i) + 4 hat(j)-hat(k) (iii) vec(d)_(1)= hat(i)- 3 hat(j) + 2 hat(k) and vec(d)_(2)= -hat(i)+2 hat(j).

Find vec(A).vec(b) when (i) vec(a)=hat(i)-2hat(j)+hat(k) and vec(b)=3 hat(i)-4 hat(j)-2 hat(k) (ii) vec(a)=hat(i)+2hat(j)+3hat(k) and vec(b)=-2hat(j)+4hat(k) (iii) vec(a)=hat(i)-hat(j)+5hat(k) and vec(b)=3 hat(i)-2 hat(k)

Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

Find the area of the parallelogram whose adjacent sides are represented by the vectors (i) vec(a)=hat(i) + 2 hat(j)+ 3 hat(k) and vec(b)=-3 hat(i)- 2 hat(j) + hat(k) (ii) vec(a)=(3 hat(i)+hat(j) + 4 hat(k)) and vec(b)= ( hat(i)- hat(j) + hat(k)) (iii) vec(a) = 2 hat(i)+ hat(j) +3 hat(k) and vec(b)= hat(i)-hat(j) (iv) vec(b)= 2 hat(i) and vec(b) = 3 hat(j).

Find the shortest distance between the lines : vec(r) = (4hat(i) - hat(j)) + lambda(hat(i) + 2hat(j) - 3hat(k)) and vec(r) = (hat(i) - hat(j) + 2hat(k)) + mu (2hat(i) + 4hat(j) - 5hat(k))

vec(r )=(-4hat(i)+4hat(j) +hat(k)) + lambda (hat(i) +hat(j) -hat(k)) vec(r)=(-3hat(i) -8hat(j) -3hat(k)) + mu (2hat(i) +3hat(j) +3hat(k))

If vec(a) = 2 hat(i) + 2 hat(j) + hat(k) , vec(b) = - hat(i) + hat(j) + 2 hat(k) and vec ( c) = 3 hat(i) + hat(j) such that vec(a) + lambda hat (b) is perpendicular to vec( c) , find lambda .

NARAYNA-SYSTEM OF PARTICLES AND ROTATIONAL MOTION -EXERCISE - IV
  1. Find the net torque of these following forces about origin vec(F)(1...

    Text Solution

    |

  2. For which of the following does the centre of mass lie outside the bod...

    Text Solution

    |

  3. Which of the following points is the likely position of the cent...

    Text Solution

    |

  4. A particle of mass m is moving in yz - plane with a uniform veloci...

    Text Solution

    |

  5. When a disc rotates with uniform angular velocity, which of the follow...

    Text Solution

    |

  6. A uniform square palte has a small piece Q of an irregular shape...

    Text Solution

    |

  7. In the above problem , the CM of the plate is now in the followin...

    Text Solution

    |

  8. The density of a non-uniform rod of length 1m is given by rho (x) = a ...

    Text Solution

    |

  9. A Merry -go-round, made of a ring-like plarfrom of radius R and mass M...

    Text Solution

    |

  10. Choose the correct alternative :

    Text Solution

    |

  11. Figure shows two identical particles 1 and 2 , each of mass m ...

    Text Solution

    |

  12. The net external torque on a system of particles about an axis is zero...

    Text Solution

    |

  13. A uniform cube of mass m and side a is placed on a frictionless ...

    Text Solution

    |

  14. A uniform uniform sphere of mass m and radius R is placed on a ro...

    Text Solution

    |

  15. A T shaped object with dimesions shown in the figure , is lying a...

    Text Solution

    |

  16. A circular ring of mass 6kg and radius a is placed such that its cente...

    Text Solution

    |

  17. In the figure d shown a hole of radius 2 cm is made in a semicir...

    Text Solution

    |

  18. The figure shows the positions and velocities of two particles . ...

    Text Solution

    |

  19. A rod of length 3m and its mass par unit length is directly propo...

    Text Solution

    |

  20. A wheel is rotating about an axis through its centre at 720 rp...

    Text Solution

    |

  21. A particle of mass m describes a circle of radius r . The centripetal ...

    Text Solution

    |