A bead of mass \"m\" moves frictionless along a straight wire that runs through

Question

A bead of mass "m" moves frictionless along a straight wire that runs through the origin of the x,y,z plane, rotates at a frequency "w" around the z-axis, and has an angle "a" measured from the verticle. The distance from the origin to the location of the bead on the wire is denoted by "r." Using the generalized coordinate "r," write down the x, y, and z coordinates of the bead as functions of r, m, w, a, and t.

A bead of mass "m" moves frictionless along a straight wire that runs through the origin of the x, y,z plane, rotates at a frequency "w" around the z-axis, and has an angle "a" measured from the verticle. The distance from the origin to the location of the bead on the wire is denoted by "r." Using the generalized coordinate "r," write down the x, y, and z coordinates of the bead as functions of r, m, w, a, and t.

Explanation / Answer

z = r*cos(a)

x = r*sin(a)*cos(w*t)

y = r*sin(a)*sin(w*t)

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