PROBLEM 6: A CONCEPTUAL QUESTION ABOUT PENDULA Suppo se a pendulum is oscillating with the angle 6, and suppose 0 is small so that the approxim ations we make in class are valid. Now we discussed earlier in the semester that we can make an an alogy between line ar and rotation al motion by the following change of variables ds V = dt do and, dt' dv ds dw = D dt dt2 -dt dt2 Is this change of vari ables appropri ate (th at is, is it also true) for our pendulum?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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HOMEWORK PROBLEMS FOR WEEK # 11
3
A) Which of the three pendula, if any will experien ce the largest torque (assume
angle of o scillation is the same for all three)?
B) Which pendulum, if any, will have the greatest oscill ation frequen cy?
PROBLEM 6: A CONCEPTUAL QUESTION ABOUT PENDULA
Suppose a pendulum is oscillating with the angle 0, and sup pose 0 is sm all so
that the approxim ations we make in dass are valid. Now we discussed earlier in
the semester that we can make an an alogy between line ar and rotation al motion
by the following change of variables
ds
d0
and,
dt'
dt
dv
d²s
dw
dt
dt2
-dt
dt2
Is this change of vari ables appropriate (th at is, is it also true) for our pendulum?
Transcribed Image Text:HOMEWORK PROBLEMS FOR WEEK # 11 3 A) Which of the three pendula, if any will experien ce the largest torque (assume angle of o scillation is the same for all three)? B) Which pendulum, if any, will have the greatest oscill ation frequen cy? PROBLEM 6: A CONCEPTUAL QUESTION ABOUT PENDULA Suppose a pendulum is oscillating with the angle 0, and sup pose 0 is sm all so that the approxim ations we make in dass are valid. Now we discussed earlier in the semester that we can make an an alogy between line ar and rotation al motion by the following change of variables ds d0 and, dt' dt dv d²s dw dt dt2 -dt dt2 Is this change of vari ables appropriate (th at is, is it also true) for our pendulum?
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