- #1
sergioro
- 8
- 0
Hello everyone,
Translation of extended objects is described taking the
net force acting on the center of mass of the extended object.
But to compute rotational motion, one needs to considers
each force on their point of action.
For example, let's consider a current I flowing in a loop consisting of
a conductor forming a semicircle and another as a straight segment
trough the diameter of the semicircle. Assume the current flows
counterclockwise in the loop which lies on the XY plane (being the semicircle part on the
+Y-axis) and that a constant magnetic field in the +X direction is acting on the loop.
In this situation a torque will make the loop to rotate around the
Y axis.
How can one prove that the forces responsible of the torque, one acts
at the mid point of the piece of the curved loop in the first
quadrant and the other at the mid point of the piece of the curved loop
in the second quadrant?
Thanks in advance,
Sergio
Translation of extended objects is described taking the
net force acting on the center of mass of the extended object.
But to compute rotational motion, one needs to considers
each force on their point of action.
For example, let's consider a current I flowing in a loop consisting of
a conductor forming a semicircle and another as a straight segment
trough the diameter of the semicircle. Assume the current flows
counterclockwise in the loop which lies on the XY plane (being the semicircle part on the
+Y-axis) and that a constant magnetic field in the +X direction is acting on the loop.
In this situation a torque will make the loop to rotate around the
Y axis.
How can one prove that the forces responsible of the torque, one acts
at the mid point of the piece of the curved loop in the first
quadrant and the other at the mid point of the piece of the curved loop
in the second quadrant?
Thanks in advance,
Sergio