Dr. James E. Friedrichsell I Exam I - Spring 2018 For problems 1 through 25, fil

Question

Dr. James E. Friedrichsell I Exam I - Spring 2018 For problems 1 through 25, fill in the corresponding bubble on the scantron sheet. Each question is worth 4 points. You will turn in this exam sheet with the scantron sheet at the end of the exam, so please put your name at the top. Questions 1-2, refer to the following graph, which shows the displacement vs time for a spring oscillator.: 5.of (cm 1.5 2.5 3 -5 Question1 What is the magnitude of the maximum acceleration of this oscillator? A) 0.013 m/s2 B) 0.16 m/s2 C) 0.49 m/s2 D) 1.3 m/s E) 49 m/s2 Question 2 At what time(s) is the magnitude of the velocity of this oscillator equal to the maximum value? A) 0.0 s, 2.0 s, and 4.0 s B) 0.0 s, 1.0 s, 2.0 s, 3.0 s and 4.0s C) 0.5 s, and 2.5 s D) 1.5 s, and 3.5 s E) 0.5 s, 1.5 s, 2.5 s, and 3.5 s

Explanation / Answer

Question 1) maximum accelaration is a_max = A*w^2

A is the amplitude A = 5 cm = 0.05 m

w = 2*pi/T = 2*3.142/2 = 3.142 rad/s

then

a_max = A*w^2 = 0.05*3.142^2 = 0.4936 m/s^2

Question 2)

at mean positions(x=0) the velocity has maximum value

so at t = 0 sec

and t = 1s,2s,3s and 4 s

so correct choice is B)

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