What is the torque of force vec F = 2hat i - | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The torque $\vec 	au$ is defined as the cross product of the position vector $\vec r$ and the force vector $\vec F$:$\vec 	au = \vec r 	imes \v

Vedclass · Accepted Answer

$17\hat i - 6\hat j - 13\hat k$

Vedclass · Answer

(C) The torque $\vec 	au$ is defined as the cross product of the position vector $\vec r$ and the force vector $\vec F$:$\vec 	au = \vec r 	imes \vec F$Given $\vec r = 3\hat i + 2\hat j + 3\hat k$ and $\vec F = 2\hat i - 3\hat j + 4\hat k$,we calculate the determinant:$\vec 	au = \begin{vmatrix} \hat i & \hat j & \hat k \ 3 & 2 & 3 \ 2 & -3 & 4 \end{vmatrix}$Expanding the determinant:$\vec 	au = \hat i(2 	imes 4 - 3 	imes (-3)) - \hat j(3 	imes 4 - 3 	imes 2) + \hat k(3 	imes (-3) - 2 	imes 2)$$\vec 	au = \hat i(8 + 9) - \hat j(12 - 6) + \hat k(-9 - 4)$$\vec 	au = 17\hat i - 6\hat j - 13\hat k$

What is the torque of force $\vec F = 2\hat i - 3\hat j + 4\hat k$ acting at a point $\vec r = 3\hat i + 2\hat j + 3\hat k$ about the origin?

Similar Questions

$A$ couple produces

Why is the handle of a door or window placed at the end opposite to the hinged side?

The coordinates of a particle with respect to origin in a given reference frame is $(1, 1, 1) \ m$. If a force of $\vec{F} = \hat{i} - \hat{j} + \hat{k} \ N$ acts on the particle,then the magnitude of the torque (with respect to origin) in the $z$-direction is . . . . . . .

$A$ force of $40\, N$ acts on a point $B$ at the end of an $L$-shaped object,as shown in the figure. The angle $\theta$ that will produce the maximum moment of the force about point $A$ is given by:

Which component of torque is responsible for rotation about the $Z$-axis?

Vedclass Test Series

Exam Paper Generator

Online Exam Module