A small bead of mass m1 slides without friction in a spherical bowl of radius R. The bead is displaced a height h1 from the bottom of the bowl. A second, more massive bead of mass m2 is displaced a height h2 from the bottom of the bowl opposite the first bead. The two beads are released at the same time.
Calculate the period of the harmonic motion, individually, for each of the beads as if they are placed alone in the bowl.
Identify the position where the two beads first meet.
T = W / 2pi
x = A cos/sin (Wt + delta)
The Attempt at a Solution
My professor mentioned using the formula for the angular frequency of a mass spring system, that being the square root of k / m. However, I do not see its applicability at this point. I have no idea how to calculate the period with the information given...for instance, how am I to determine the angular velocity based upon what is given? I figured that was the place to start, but again, I don't see how the sq. root of k / m will help me since we're not dealing with a spring. As for the second part, my best guess is that I need to write position equations for each bead and set them equal to one another? Is that right?