Posted by Neil Wyatt on 06/07/2020 18:26:33:…
Take a hefty claw hammer, the sort with a decent wooden shaft. Hold it in your good hand, the face pointing down and the claws upwards. Flip it gently upwards in a single end over end spin and catch the handle.
Which way is the head pointing now? Repeat it, which way is the head pointing. Repeat this a few times and see if you can spot a pattern.
Now hold it with the head horizontal and the face pointing to your left.
Again, flip it gently upwards and catch the handle. Which way is the head pointing now? Repeat the action a few times.
I’m particularly interested in your personal theories about what is happening rather than the results of any internet searches.
Neil
Results
1. Flipping the hammer with the face down and the claw up (vertical) results in the hammer rotating 360° back to the same position, face down.
2. Flipping the hammer sideways (face and claw horizontal) results in the head and claw swapping sides, ie the head rotates horizontally by 180° during the 360° turn.
The horizontal turn is too fast to follow, but I think its only 180° not 540°.
Duffer's Hypothesis
Head down the hammer is balanced along the axis of the handle. All the forces acting on the hammer are in the same plane, so the hammer does a single turn at right angles to it. The axis is the hammer's centre of gravity,
Head horizontal, the hammer isn't balanced along the handle. The head is heavier than the claw. When the hammer is tossed, two forces are applied because the centre of gravity is off centre in one plane. As the hammer rotates backwards it also turns sideways.
Confirmation.
Of concern is the hammer appears to rotate more or less exactly 180°. If the centre of gravity hypothesis is correct, I would expect the hammer to turn at some angle proportional to the imbalance. Testing with other types of unbalanced hammer (ball pein and cross-pein types) shows they also apparently rotate by 180°. And testing with a balanced mallet (same head shape and weight both sides) shows it too spins by 180° Claw hammers are a red-herring.
Conclusion,
Duffer's First Hypothesis is either wrong or much too simple.

Second Hypothesis. The unbalancing force is due to the earth's rotation.
This may have legs. Tossing the balanced mallet facing south, it appears to reliably turn anti-clockwise by 180° and facing north, it appears to reliably turn clockwise. Facing East and West, the mallet still turns, but it appears less reliable, maybe spinning only a bit over 90° Not confirmed – the turns are hard to follow by eye. Wish I had a high-speed camera.
Dave