A cylindrical tube of mass M can slide on a horizontal wire. Two identical pendulum, each of mass m and length l, hang from the ends of the tube, as shown above. For small oscillations of the pendulums in the plane of the paper, the eigenfrequencies of the normal modes of oscillation of the system are 0,}{lM}} "\sqrt{\frac{g(M+2m)}{lM}}")
, and …
A.
B.
C.
D.
E.
(GR9277 #07)
Solution:
2 modes in which the system can oscillate:
1. The 2 pendulum oscillate out of phase so there is torsional effect on the tube M → there is M in the equation.
2. In phase → no torsional effect on M → No M in the equation.
Answer: A
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