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Post Reopened by Michael Seifert, John Rennie, FGSUZ
Post Closed as "Not suitable for this site" by Voulkos, David Bailey, Miyase
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Voulkos
Voulkos
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Blue5000
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Take a 1kg point mass at the end of a 1 meter massless rod, free to rotate about a pivot at the other end of the rod. If I apply 1 unit of force to the point mass at a right angle to the rod, the point mass accelerates tangentially with 1 unit of acceleration and 1 unit of angular acceleration. However if I apply the same unit of force at 1/2 the length of the rod the point mass now accelerates at 1/2 a unit of acceleration and 1/2 a unit of angular acceleration. It’s the same force being applied but 1/2 of the momentum that force would usually supply is being lost somehow just by changing the location that it is being applied at. Where is that other 1/2 of the momentum going ?

Take a 1kg point mass at the end of a 1 meter massless rod, free rotate about a pivot at the other end of the rod. If I apply 1 unit of force to the point mass at a right angle to the rod, the point mass accelerates tangentially with 1 unit of acceleration and 1 unit of angular acceleration. However if I apply the same unit of force at 1/2 the length of the rod the point mass now accelerates at 1/2 a unit of acceleration and 1/2 a unit of angular acceleration. It’s the same force being applied but 1/2 of the momentum that force would usually supply is being lost somehow just by changing the location that it is being applied at. Where is that other 1/2 of the momentum going ?

Take a 1kg point mass at the end of a 1 meter massless rod, free to rotate about a pivot at the other end of the rod. If I apply 1 unit of force to the point mass at a right angle to the rod, the point mass accelerates tangentially with 1 unit of acceleration and 1 unit of angular acceleration. However if I apply the same unit of force at 1/2 the length of the rod the point mass now accelerates at 1/2 a unit of acceleration and 1/2 a unit of angular acceleration. It’s the same force being applied but 1/2 of the momentum that force would usually supply is being lost somehow just by changing the location that it is being applied at. Where is that other 1/2 of the momentum going ?

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Blue5000
Blue5000
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Linear Momentum conservation

Take a 1kg point mass at the end of a 1 meter massless rod, free rotate about a pivot at the other end of the rod. If I apply 1 unit of force to the point mass at a right angle to the rod, the point mass accelerates tangentially with 1 unit of acceleration and 1 unit of angular acceleration. However if I apply the same unit of force at 1/2 the length of the rod the point mass now accelerates at 1/2 a unit of acceleration and 1/2 a unit of angular acceleration. It’s the same force being applied but 1/2 of the momentum that force would usually supply is being lost somehow just by changing the location that it is being applied at. Where is that other 1/2 of the momentum going ?