2.A bead on a wire can slide with negligible friction on a hoop with radius R rotating at aconstant rate with a period T.а.Find the angle 0 at which the bead would not slide on thehoop. Express this in terms of the values given above and anyconstants (e.g. g).Note: A FBD and proper setup of NII equations are requiredhere. Do your algebra.b.If the period increases, will the bead slide upward, slidedownward, or do neither? Explain why, using your result from part a.Can 0 be greater than or equal to 90°? Why or why not? Use FBDS and your resultС.from part a as evidence.d.Are there any other angles at which the ball will not slide on the hoop? Explain why.Note: Think very carefully about your forces here. Use FBDS.

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3. A bead is free to slide along a frictionless hoop of radius r. The plane of the hoop is horizontal, and the center of the hoop travels in a horizontal circle of radius R, with constant angular speed w, about a given point. Find the equation of motion for the position of the bead. Also, find the force of constraint. @of R ---- m 10.

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3) A bead on a wire can slide with negligible friction on a hoop with radius R rotating at a ant rate with a period T. ) Find the angle 0 at which the bead would not slide on the hoop. Express this in terms of the values given above and any constants (e.g. g).