Question

A couple is acting on a rigid body,
Statement 1:- Linear acceleration of center of mass of body will be zero
Statement 2:- Magnitude of torque due to couple will be same about any point lying on or outside the body.

• 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 C Both statements are correct.

Two parallel forces that are equal in magnitude, opposite in direction and do not share a line of action constitutes a couple.
$\therefore F_{net}$ acting on body is zero.
$\Rightarrow a_{com}=0$

Magnitude of torque due to couple is $\tau =F\left(2d\right)$ where $d$ is perpendicular distance between parallel forces and it will be same about any point.
$\therefore$Both statements are correct.