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447_Physics ProblemsTechnical Physics

# 447_Physics ProblemsTechnical Physics - Chapter 15 P15.26...

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Chapter 15 449 P15.26 The angle of the crank pin is θ ω = t. Its x -coordinate is x A A t = = cos cos θ ω where A is the distance from the center of the wheel to the crank pin. This is of the form x A t = + cos ω φ b g , so the yoke and piston rod move with simple harmonic motion. x = –A x ( ) t Piston A ω FIG. P15.26 Section 15.5 The Pendulum P15.27 (a) T L g = 2 π L gT = = = 2 2 2 2 4 9 80 12 0 4 35 7 π π . . . m s s m 2 e j a f (b) T L g moon moon 2 m 1.67 m s s = = = 2 2 35 7 29 1 π π . . P15.28 The period in Tokyo is T L g T T T = 2 π and the period in Cambridge is T L g C C C = 2 π We know T T T C = = 2 00 . s For which, we see L g L g T T C C = or g
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