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fogvajarash
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Homework Statement
Two identical simple pendulums of length 0.25m and period T, are mounted side-by-side. One is released from rest with an initial angular displacement of [itex]\displaystyle\frac{\pi}{12}rad[/itex], and the other is started with an initial angular velocity of 0.1 rad/s at θ=0. They are both started in motion simultaneously. Which are true or false?
A. After a time of T, they have both reversed their initial angular velocities.
B. They both have the same phase.
C. After 0.1s they both have the same phase.
D. The equation of motion for both oscillators reads: [itex]x=A\cos(\omega t+\delta)[/itex]
Homework Equations
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The Attempt at a Solution
I understand that the first pendulum should not have any phase as the initial displacement would be already the amplitude of the oscillation of the pendulum (thus wouldn't B and D be false?). On the other hand, after a time of T, they would both have the same velocities (what does reversed mean in this context?). I found that T = 1.00s. I'm not so sure on how C works (what is the exact definition of "phase"? Does it refer to the initial conditions or the angle at a time t?)
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