Magnetic Art

Magnetic Art




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Magnetic Art
Magnetic Force problem (with diagram and hint)?

http://edugen.wiley.com/edugen/courses/crs1507/art/qb/qu/c21/ch21p_34.gif

he drawing shows a thin, uniform rod, which has a length of 0.53 m and a mass of 0.225 kg. This rod is attached to the floor by a hinge at point P. A uniform magnetic field of 0.44 T is directed perpendicular to the rod, as shown. There is a current I = 5.0 A in the rod, which does not rotate clockwise or counterclockwise. Find the angle θ. (Hint: The magnetic force may be taken to act at the center of gravity.)

HINT:
Consider the torque about the pivot of the rod. Use the fact that the torque generated by the magnetic force is equal to the torque generated by the weight of the rod. The magnetic force is given by F=ILBsinθ, where the direction can be determined by using the right-hand rule

plz show some solutions ><

Draw the FBD.
There is a force caused by the magnetic field and current, as well as a weight force from the rod.

Sum the forces in the direction of the magnetic force for simplicity.
It's not moving, so it equals to zero.
0 = ILBsin(theta) - mgcos(theta)
Solve for theta


Hele-shaw ferrohydrodynamics for rotating and axial magnetic fields