Question:
The torque of a force$\overrightarrow{F} = 2\hat{i} - 3\hat{j} +5\hat{k}$ acting at a point whose position vector $\overrightarrow{r} = 3\hat{i} - 3\hat{j} + 5\hat{k}$about the origin is
The torque of a force$\overrightarrow{F} = 2\hat{i} - 3\hat{j} +5\hat{k}$ acting at a point whose position vector $\overrightarrow{r} = 3\hat{i} - 3\hat{j} + 5\hat{k}$about the origin is
Updated On: May 13, 2023
- $ - 3\hat{j} +5\hat{k}$
- $ - 5\hat{j} +3\hat{k}$
- $ - 5\hat{j} -3\hat{k}$
- $ 3\hat{i} - 5\hat{j} +3\hat{k}$
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The Correct Option is C
Solution and Explanation
Answer (c) $ - 5\hat{j} -3\hat{k}$
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Concepts Used:
Torque
Torque is a moment of force. Torque is measured as a force that causeque is also defined as the turning effect of force on the axis of rotation. Torque is chs an object to rotate about an axis and is responsible for the angular acceleration. Characterized with “T”.
How is Torque Calculated?
Torque is calculated as the magnitude of the torque vector T for a torque produced by a given force F
T = F. Sin (θ)
Where,
r - length of the moment arm,
θ - the angle between the force vector and the moment arm.
Read More: Torque
Types of Torque
Torque is of two types:
- Static torque
- Dynamic torque