A hammer on its head or a hammer by the bottom of the handle? At first I thought

Question

A hammer on its head or a hammer by the bottom of the handle? At first I thought by the head. Holding my finger out with the hammer head on it, if the head is heavy enough it is going to take a lot for it not to balance. It seems like the center of gravity/mass is lower... But I think the correct answer we were given is that it is easier to balance it by the handle for something to do with rotational intertia. Can anyone explain why? Is it because there is greater rotational inertia when the mass is further away from your finger? That would mean that the hammer is more likely to stay at rest, that said, once it is in motion it is more likely to stay in motion.

Explanation / Answer

We we know that

= r X F

As the Lever Arm r increases , More Torque will be Formed , thus which helps us to do work

So with the increase of r with same F applied it makes it coulpe r times of that of F

Hence the Reason

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