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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Check out a sample textbook solutionStudents have asked these similar questions
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
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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- A 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_forwardNow lets consider a specific pendulum where the radius of the ball is 0.1 m, the length of the string is 1 m, and the mass of the ball is 250 g. What is the period of this pendulum? Use the formula you derived in problem 3, and report your answer in s (but don't type units into the box) Type your answer...arrow_forwardA value of the acceleration of free fail g was determined by measuring the periodof oscillation T of a simple pendulum of length l. The relation between g, T andl is given by: g=4π (l/T^2 )In the experiment, l was measured as 0.55±0.02 m and T was measured as 1.50±0.02 s. Find the:i. Value of g [2]ii. Uncertainty in the value of garrow_forward
- How do I do this question?arrow_forwardPlease don't provide handwritten solution ....arrow_forwardIf you did the previous question right, you hopefully got an expression for yo. You may notice that you can simplify the differential equation a little bit: d'y k (y – yo) dt2 т The parameter yo now plays the roll of the "relaxed length". A better term may be "equilibrium value for y". But mathematically, it's identical to a relaxed length with the spring as the only force. We continue using this equation: y(t) = Y0 + A cos(wt + y) Now, solve for A (in cm) with these parameters. Again, if you need more information, enter -100000. The parameters are: •m = 200 grams • Yo = (equilibrium value) = 40 cm • k = (spring constant) = 0.03 N/cmarrow_forward
- 1arrow_forwardConsider a mass and spring system with mass m = 3 and spring constant k = 75, and damping constant c. What would the frequency of oscillation be if there were no damping at all (c = 0)? What is the critical value of the damping constant c that separates oscillatory from non-oscillatory motion? If c = 25, is the system underdamped, overdamped, or neither?arrow_forwardAn oscillator goes back and forth 10.0 times in 20.0 s. What is the Period of the oscillation? For the oscillator in Problem 1, how much time would it take for 40.0 oscillations? For the oscillator in Problem 1, how many oscillations would happen in 10.0 s?arrow_forward
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