The force $7\hat i + 3\hat j - 5\hat k$ acts on a particle whose position vector is $\hat i - \hat j + \hat k$. What is the torque of a given force about the origin ?

  • A

    $2\hat i + 12\hat j + 10\hat k$

  • B

    $2\hat i + 10\hat j + 12\hat k$

  • C

    $2\hat i + 10\hat j + 10\hat k$

  • D

    $10\hat i + 2\hat j + \hat k$

Similar Questions

When a uniform solid sphere and a disc of the same mass and of the same radius rolls down a rough inclined plane from rest to the same distance, then the ratio of the time taken by them is

$A$ non uniform rod $OA$ of linear mass density $\lambda = \lambda_0x$ $(\lambda_0 =$ const.) is suspended from ceiling with hinge joint $O$ & light string as shown in figure. Find the angular acceleration of rod just after the string is cut.

The mass per unit length of a rod of length $l$ is given by : $\lambda = \frac{M_0x}{l}$ ,where $M_0$ is a constant and $x$ is the distance from one end of the rod. The position of  centre of mass of the rod is

In a gravity free space, a man of mass $M$ standing at a height $h$ above the floor, throws a ball of mass $m$ straight down with a speed $u$ . When the ball reaches the floor, the distance of the man above the floor will be

In a rectangle $ABCD (BC = 2AB)$, the moment of inertia along which axis will be minimum ?