Question

For a force $F$ acting on rigid body,
Statement $1:$ Component of torque about any point lying on the axis, along the axis is defined as torque about that axis.
Statement $2:$ Torque about an axis is same as torque about any point lying on that axis.

• A. Statement $1$ is correct and statement $2$ is incorrect
• B. Statement $1$ is incorrect and statement $2$ is correct
• C. Both statements are correct.
• D. Both statements are incorrect.

Answer 1

The correct option is A Statement $1$ is correct and statement $2$ is incorrect

We know,
Torque about an axis is defined as the component of torque about any point lying on axis, along the axis.

Torque about any point lying on axis will be having two components, one along the axis which is torque about the axis and other perpendicular to the axis. The resultant of both the components will not be equal to that of one component and hence statement 2 is incorrect.

$\therefore$ Statement $1$ is correct and statement $2$ is incorrect.