Changes in Work done with changes in the centre of mass of a tool

[Mimi3616]

Homework Statement

If we change the centre of mass of a mop that is used to clean ceilings, is it easier to clean if centre of mass is away or closer to the point of application of force? In which situation force applied needs to be less, to do same work and in which case, applying the same force, will help us do more work? And how can we explain this with physics?

Relevant Equations

W = F*d

Work done if centre of mass is away from us will be less. But how? Or should we consider torque?

 

[BvU]

Hello @Mimi3616 , !

Difficult to give a clear answer to a vague question (not intntionally vague, I suppose).
If this is homework: what is the exact wording of the problem statement ?

Your relevant equation is actually a vector equation: $$W =\vec F \cdot \vec d$$meaning that physically spoken, no work is done if the displacement in the direction of the force is zero.

Mopping means pushing up (in the ceiling case) and dragging sideways. The sideways motion is to overcome the friction. The upward force does no work: the vertical position of the mop does not change.

Work done if centre of mass is away from us will be less

can you propose a scenario where you believe that is actually the case ?

 

[Steve4Physics]

Homework Statement:: If we change the centre of mass of a mop that is used to clean ceilings, is it easier to clean if centre of mass is away or closer to the point of application of force?
.
.. Or should we consider torque?

Depends what is meant by 'easier'. And it depends which 'force' you are referring to. Both are unclear.

Suppose you have a long pole, AB and you are holding end A. Which is easier to control: the pole with a heavy weight near end B or the pole with the heavy weight near end A? If that's what is meant by the question, then yes, you should consider torque.