Question

Task III: The Motion of a Pendulum (B1.3, 2.2, 2.3, 2.7, 3.1, 3.4) A strobe photography camera takes photos at regular intervals to capture the motion of a pendulum as it swings from right to left. A student takes measurements from the photo below to analyze the motion.

Answer 1

Son 1(ab ased on data and graphing calculator we get following graph. y, ~a cos(bx,)+ +C RESIDUALS 10 STATISTICS R2 = 0.9828 ei plot PARAMETERS a= -1.56159 c=1.41246 b = 0.721272 x 1 0 -0.45 5 0.5 -0.02 1 0.42 1.5 0.85 2 1.29 2.5 1.72 3 2.16 -5 5 10 15 3.5 2.6 (0, -0.149) (8.711, -0.149) 4 3.03 4 8.711 = 0.459 one cycle of 8.711 sec. portion of data of one cycle data represent 45.9% of for fastest moring da Ligher IF cycle. manimumun (b) ДXL masinum Based on data we get At Displace 0-88 0.44 5 - - Arg speed time 1.5 sec to a sec, behreen or to 1 sec, 3 sec to 3.5 sec 2-5 to 3 sec (6) da = V = de x=-1-56159 cos(0-72+)+1-41246 1-56159x0.72 sin(0.12t) de-1-56159 X6 733C05(0-72 +) 0-72t = I t = 2.18 seci 0.72t=”+27 =) t= 10.90 sec. It2 Next

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