Three pendulum with the same length (Fig. 2c). First you swing the outer pendulu

Question

Three pendulum with the same length (Fig. 2c). First you swing the outer pendulums simultaneously. What do you predict will happen to the pendulum in the middle? If instead you swing the pendulum in the center while the other two remain at rest, what do you predict will happen after the pendulum is set in motion? Explain. You have a rectangular plate being held up from each corner (Fig. 3d), with string being perfectly parallel to each other. The flat plate is set into motion sideways and time is recorded for 20 oscillations. What if you cut the front strings from the flat plate pendulum allowing it to hang forward (Fig. 3e) and set it to motion again for 20 oscillaitons, what do you predict the period will be? Will it be the same as above? Why or why not. Explain.

Explanation / Answer

(3) The three pendulums are of identical size so they have same frequency of oscillation. So, time period, T

T=2(L/g)^(1/2) is same. The three pendulum system is an example of coupled syetem. When any one of them is disturbed, it oscillates and affect the other, and soon middle pendulum starts oscillating. Initially, period of vibration is small, however at a later time, all the pendulums oscillate with the same frequency. First middle one sets into motion and then the extreme one.

(4) If middle pendulum is set into motion, the pendulums at the extreme disturb and set into the motion soon. they all oscillate with same natural frequency.

(6) Period in the second case will be long as compared to the first case, In the first case when it is suspended by pair of strings, then there will be two restoring forces acting on them that will move it faster as compared to the latter case when it is suspeded through single pair of strings.

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