- Exam
- JEE Main
- Year
- 2021
- Date
- 16 March
- Shift
- Evening Shift
- Subject
- Physics
- Chapter
- Rotational Motion
JEE Main 2021 · 16 March · Evening Shift · Physics · Rotational Motion
A force → F = 4 ^ i + 3 ^ j + 4 ^ k is applied on an intersection...
A force \overset{\to}{F} = 4\overset{^}{i} + 3\overset{^}{j} + 4\overset{^}{k} is applied on an intersection point of plane and -axis. The magnitude of torque of this force about a point is ________.
(Round off to the Nearest Integer)
Correct answer
0
Step-by-step solution
\overset{\to}{r} = \left(2\overset{^}{i}\right) - \left(2\overset{^}{i} + 3\overset{^}{j} + 4\overset{^}{k}\right) = - 3\overset{^}{j} - 4\overset{^}{k}
and \overset{\to}{F} = 4\overset{^}{i} + 3\overset{^}{j} + 4\overset{^}{k}
\overset{\to}{τ} = \overset{\to}{r} \times \overset{\to}{F} = \left|\begin{cases}\overset{^}{i} & \overset{^}{j} & \overset{^}{k} \\ 0 & - 3 & - 4 \\ 4 & 3 & 4\end{cases}\right|
= \overset{^}{i}\left(- 12 + 12\right) - \overset{^}{j}\left(0 + 16\right) + \overset{^}{k}\left(0 + 12\right)
= - 16\overset{^}{i} + 12\overset{^}{k}