Which factors should be considered for the calculation of torque,and which should not?

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The role of moment of inertia and torque in the rotational motion of a rigid body is analogous to the role of mass and force in translational motion.
In the rotational motion of a rigid body,only the components of torque parallel to the fixed axis of rotation should be considered,as these components are responsible for the rotation of the body relative to that axis.
The components of torque perpendicular to the axis of rotation tend to rotate the axis itself from its position. To cancel the effect of these perpendicular components,an equal and opposite reaction torque is generated by the supports,keeping the axis steady. Therefore,the perpendicular components of torque are not considered in the calculation of rotational motion about a fixed axis.
In summary,for the calculation of torque about a fixed axis:
$(1)$ We consider only those forces that lie in planes perpendicular to the axis.
$(2)$ We consider only those components of the position vectors that are perpendicular to the axis.

Explore More

Similar Questions

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?

Difficult
View Solution

$A$ force $F\,\hat{k}$ acts at the origin $O$ of a coordinate system. What is the torque about the point $(1, -1, 0)$?

Difficult
View Solution

Why is the handle of a screwdriver made long to rotate a screw?

$A$ force $F_1 = A \hat{j}$ is applied to a point whose radius vector is $r_1 = a \hat{i}$, while a force $F_2 = B \hat{i}$ is applied to the point whose radius vector is $r_2 = b \hat{j}$. Both the radius vectors are determined relative to the origin of the coordinate axes $O$. The moment of the force relative to $O$ is

The torque of the force $\vec{F} = (2\hat{i} - 3\hat{j} + 4\hat{k}) \text{ N}$ acting at the point $\vec{r} = (3\hat{i} + 2\hat{j} + 3\hat{k}) \text{ m}$ about the origin is:

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo