Two thin rods are fastened to the inside of a circular ring as shown in the Figu
ID: 2161055 • Letter: T
Question
Two thin rods are fastened to the inside of a circular ring as shown in the Figure. One rod of length D is vertical, and the other of length L makes an angle of theta with the horizontal. The two rods and the ring lie in a vertical plane. Two small beads are free to slide without friction along the rods. Find an expression for the time interval required for the red bead to fall from point A to point C in terms of g and D. Find and expression for the time interval required for the blue bead to slide from point B to point C in terms of p, L, and theta. Show the two time intervals found in parts (1) and (2) above are equal. Hint: What is the angle between the chords of the circle AB and BC?Explanation / Answer
a)
distance = u * t + 1/2 g t2
D = .5gt2
t = (D/.5g)
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