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beserk
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In 3-D dynamics why is the angular momentum not aligned with angular velocity?
Does this mean H = Iw is wrong in 3-D ?
Does this mean H = Iw is wrong in 3-D ?
The angular momentum vector can be aligned with the angular velocity vector. It's just not necessarily the case. If the two vectors are aligned, H=Iw is perfectly valid as a scalar equation.beserk said:In 3-D dynamics why is the angular momentum not aligned with angular velocity?
Does this mean H = Iw is wrong in 3-D ?
Angular momentum direction refers to the direction in which an object is rotating or moving in a circular path. It is a vector quantity and is defined as the cross product of the object's position vector and its linear momentum vector.
Angular momentum direction is determined using the right-hand rule, where the thumb points in the direction of the object's angular velocity and the fingers curl in the direction of the rotation. The direction of the resulting vector is the direction of the angular momentum.
Yes, angular momentum direction can change when the object's angular velocity or its distance from the axis of rotation changes. This change in direction can also be caused by external forces acting on the object.
The direction of angular momentum affects an object's motion by determining the direction of its rotation. If the direction of angular momentum changes, the object's rotation will also change. This can result in changes in its speed or path of motion.
The conservation of angular momentum states that the total angular momentum of a system remains constant unless acted upon by an external torque. This means that the direction and magnitude of angular momentum remain the same, even if the object's position or velocity changes.