Answer:
Yes, a small force can exert a greater torque than a large if small force has large enough lever arm.
Step-by-step explanation:
We know that torque exert on an object is given by
![\tau=Force* perpendicular\;distance](https://img.qammunity.org/2021/formulas/physics/college/vl2pjwiafd026prxe62ejwdtechc58fkd0.png)
Torque is directly proportional to force
![\tau\propto F](https://img.qammunity.org/2021/formulas/physics/college/esv9oibcts94thzso78hirkhiv0vyfo5f7.png)
Torque is directly proportional to perpendicular distance
If force is small then torque exert is small
If force is large then torque exert is large
If lever arm is small then torque is small
If lever arm is large then torque is large.
A small force exert a greater torque than a large force if small force has large enough lever arm.
Yes, a small force can exert a greater torque than a large.