Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
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Question
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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SPEED
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40
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.
Chapter 4 Solutions
Physics Laboratory Experiments
Ch. 4 - Scientists use models and theories to describe...Ch. 4 - Prob. 2EPCh. 4 - Prob. 3EPCh. 4 - The mass (m) of the pendulum bob may be varied....Ch. 4 - Check with one of your fellow students (or your...Ch. 4 - Describe what is meant by the scientific method...Ch. 4 - What are the physical parameters in the...Ch. 4 - Prob. 3ASACh. 4 - How does the period of a pendulum vary...Ch. 4 - How will you experimentally check the theoretical...
Ch. 4 - Prob. 6ASACh. 4 - How can the parabolic form y = ax2 be plotted as a...Ch. 4 - What is meant by damped harmonic motion, and what...Ch. 4 - It was suggested that you measure the time for...Ch. 4 - Prob. 2QCh. 4 - Prob. 3QCh. 4 - Prob. 4QCh. 4 - Prob. 5QCh. 4 - Suppose in the damped equation had ek1t and ek2t,...Ch. 4 - Prob. 7Q
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- 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 Jarrow_forwardConsider a pendulum of mass “m" attached to a spring of mass "M’ that is free to move in single dimension along a frictionless horizontal surface. Take the gravity g = 10 m/s² and the gravitational potential energy is equal to zero at the level of block (y = 0). y Datum of potential energy: PE = 0 d) Write the expression of r'm as a function of unit vector i, e', and e', e) Find the expression of kinetic energy of the system as a function of (M, m, X, I, 0,0) f) Write the expression of potential energy PE of the system as a function of (m, I, 0) g) Write the Lagrangian equation h) Deduce the equations of motion from Euler-Lagrange equationsarrow_forwardA mass of 458 g stretches a spring by 7.2 cm. The damping constant is c = 0.34. External vibrations create a force of F(t)= 0.4 sin 5t Newtons, setting the spring in motion from its equilibrium position with zero velocity. What is the imaginary part v, m of the complex root of the homogeneous equation? Use g= 9.8- .Express your answer in two decimal places.arrow_forward
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