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kuyt
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What is the angular momentum of a rod rotating about one end (mass M and angular velocity ш),about its center of mass?
Is the rod rotating about one end or its center of mass?kuyt said:What is the angular momentum of a rod rotating about one end (mass M and angular velocity ш),about its center of mass?
Yes, it is, and you can answer it by calculating the angular momentum of individual point about the end of the rod, then integrating them along the length of the rod. The result of doing that would be the formula at http://scienceworld.wolfram.com/physics/MomentofInertiaRod.htmlkuyt said:But this is something fundamental,calculating angular momentum of a system about arbitary points in space.
HallsofIvy said:Yes, it is, and you can answer it by calculating the angular momentum of individual point about the end of the rod, then integrating them along the length of the rod. The result of doing that would be the formula at http://scienceworld.wolfram.com/physics/MomentofInertiaRod.html
that you could get to following the links you were given in tadchem's response.
To calculate the angular momentum of a rotating rod, you can use the formula L = Iω, where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity. The moment of inertia can be calculated using the formula I = 1/12mL^2, where m is the mass of the rod and L is the length of the rod.
The unit of measurement for angular momentum is kilogram meters squared per second (kg·m^2/s).
The mass of the rod directly affects its angular momentum. The higher the mass, the greater the angular momentum, assuming the angular velocity remains constant.
If the angular velocity increases, the angular momentum also increases. This is because angular momentum is directly proportional to angular velocity.
Yes, the angular momentum of a rotating rod can be negative. This occurs when the direction of the angular momentum is opposite to the direction of rotation. This can happen if the rod is rotating in a clockwise direction, while the angular momentum is calculated in a counterclockwise direction.