Soccer Kicking: Angular Momentum & Off-Centre Kicks

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Kicking a soccer ball off-center generates both linear and rotational motion, with the force applied contributing to both propulsion and spin. The relationship between the angle of the kick and the resulting torque can be analyzed using principles of angular momentum. The torque is influenced by the distance from the center of mass to the point of contact, as well as the angle of impact. Formulas such as τ = r × F can be applied, where τ is torque, r is the distance from the center, and F is the force applied. Understanding these dynamics is essential for analyzing the mechanics of soccer kicks.
kehler
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When kicking a ball, how much of the force you apply goes to making it spin if you kick it off-centre? Is there a formula relating the angle of the kick and the amount of torque or something? We have to analyse a sport for our homework and I chose soccer. I'm trying to work out approximate rotational angular momentum of a ball.
 
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kehler said:
When kicking a ball, how much of the force you apply goes to making it spin if you kick it off-centre? Is there a formula relating the angle of the kick and the amount of torque or something? We have to analyse a sport for our homework and I chose soccer. I'm trying to work out approximate rotational angular momentum of a ball.

If you were kicking it off center, what equations do you think might apply? How would your kicking force at the point of contact resolve itself into propelling the ball and spinning the ball?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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