Physics Laboratory Experiments
8th Edition
ISBN: 9781285738567
Author: Jerry D. Wilson, Cecilia A. Hernández-Hall
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Under certain conditions, wind blowing past a rectangular speed limit sign can cause the sign to oscillate with a frequency w. (See
the figure below and the Video.) Assume that w is a function of the sign width, b, sign height, h, wind velocity, V, air density, p, and
an elastic constant, k, for the supporting pole. The constant, k, has dimensions of FL. Develop a suitable set of pi terms for this
problem.
SPEED
LIMIT
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
Knowledge Booster
Similar questions
- 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
- Now 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_forwardCom 2. In the figure above, the length Lof the uniform bar is 4 m and its weight is 250 N. Also the block's weight W is 350 N and the angle e = 300. The wire can withstand a maximum tension of T, which depends on wire diametergiven in Eq. 1. The wire is cut by being lit with a candle placed at a certain height from the bar and the change in the diameter of the wire with respect to time is given as Eq. 2. Ti+1 = Ti - 5+ dị+1 + 500 di+1 = di - 0.01 * At a.) Assuming maximum tension is 500 N and initial wire diameter is 10 mm, calculate the maximum possible distance x (x0=0, xi+1=xi+Ax) before the wire break by using necessary. (At=1sec., Ax=0.01m) b.) With the block placed at x=0.5m, what are the horizontal and vertical components of the force on the bar from the hinge at A? (Please check whether the wire is broken ornot before the block reaches to x=0.5 m. If the wire breaks, write "the wearis broken at x ="arrow_forwardConsider the fluid shown in the U-shaped tube of circular section R = 3 cm. This fluid of mass M and volumetric density: Describe simple harmonic oscillations. The harmonic oscillations of the fluid are governed by the differential equation: Figure 4 represents the acceleration as a function of the MAS time of the fluid. NOW ASSUME THAT THERE IS FRICTION OF THE LIQUID WITH THE WALLS OF THE CONTAINER. IN THIS CASE, THE OSCILLATIONS ARE DAMPERED WITH THE PASSAGE OF THE TIMEPO UNTIL THE BALANCE IS REACHED. IF THE AMPLKITUDE OF THE OSCILLATIONS DECAYS BY A FACTOR e ^ (- 6π) IN A TIME OF 2S. WHAT WILL BE THE FREQUENCY OF THE DAMPERED OSCILLATIONS? 2. the mean value of kinetic energyarrow_forward
- A 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_forwardPlease help me in a step by step solution for problem #10?arrow_forwardLet there be a mass M = 0.5 kg on a spring. a) If we can hang the mass on the spring in a vertical position, how can we measure the spring constant, k, of the spring? Now we use this same spring in the horizontal configuration, assuming the mass slides on a frictionless horizontal surface. b) Assuming we have measured k to be 10 N/m, how many times will the system oscillate in a minute? (assume we displace the mass from equilibrium so that the system oscillates) c) If the mass passes through the equilibrium position with a velocity vo at time t = 0, what is the amplitude of the oscillation? d) Write the equation for the horizontal displacement of the block as a function of time.arrow_forward
- An 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_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_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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON