The 10 mg bead in FIGURE P8 48 is free to slide on a frictionless wire loop The loop rotates about a vertical axis with angular velocity Iuml If v is less than some critical value Iuml c , the bead sits at the bottom of the spinning loop When Iuml Iuml c , the bead moves out to some angle Icirc ced...

Model The particle is in uniform circular motion of radius r Rsin where R is the r ...

The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The

Question:

The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity Ï‰. If v is less than some critical value Ï‰_c, the bead sits at the bottom of the spinning loop. When Ï‰ > Ï‰_c, the bead moves out to some angle Î¸.
a. What is Ï‰_cin rpm for the loop shown in the figure?
b. At what value of Ï‰, in rpm, is Î¸ = 30°?

5.0 cm| FIGURE P8.48