Physics Laboratory Experiments
Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Chapter 4, Problem 3Q
To determine

Whether the air resistance or friction a systematic or a random source of error, and whether it cause the period to be larger or smaller.

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The quantities A and φ (called the amplitude and the phase) are undetermined by the differential equation.  They are determined by initial conditions -- specifically, the initial position and the initial velocity -- usually at t = 0, but sometimes at another time. In the oscillating part of the experiment, I measured only the time of 30 periods.  I measured no position or velocity.  Consequently, A and φ (and also y0) are irrelevant in the problem.  We only compare the period T or the frequency ω with the theoretical prediction.  You have (hopefully) derived (or maybe looked up) the relation between ω and k and m. This final question relates ω and T.  If ω = 8.2*102 rad/s, calculate T in seconds.  (Remember, that a radian equals one.)  T might be a fraction of a second.
Problems 5 & 6 refer to the mass-spring oscillator depicted in the figure on the right. The block has a mass of 350 g, and is attached to a spring with a spring constant of k pushed 20 cm to left from C, its equilibrium position, before being released and allowed to move horizon- tally on a frictionless surface. . Ax = 20 cm 45 N. The mass is initially m A B DE 5. What is the frequency of oscillation for the block? A. 0.13 Hz В. 0.35 Hz С. 1.8 Hz D. 7.8 Hz 5. 6. What is the speed of the block as it passes point B? A. 0.50 m/s В. 1.0 m/s C. 1.5 m/s D. 2.0 m/s 6.
Problems 4 - 7 refer to the mass-spring oscillator de- picted in the figure on the right. The block has a mass of 500 g, and is attached to a spring with un- known spring constant. The oscillator is set in mo- tion such that its velocity is given by v(t) = -(1.6 m/s) sin(4t) A B D E 4. What is the amplitude of the oscillation? A. 0.40 m В. 1.0 m С. 1.6 m D. 4.0 m 4. 5. What is the frequency of the oscillation? A. 0.40 Hz В. 0.64 Hz С. 1.6 Hz D. 4.0 Hz 5. 6. What is the spring constant? A. 2.0 N/m В. 4.0 N/m C. 8.0 N/m D. 16 N/m 6. 7. What is the total energy of the oscillation? [Note: it is possible to solve this part without using any of your previous answers.] A. 0.40 J В. 0.64 J С. 1.6 J D. 4.0 J
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