University Physics Volume 1
18th Edition
ISBN: 9781938168277
Author: William Moebs, Samuel J. Ling, Jeff Sanny
Publisher: OpenStax - Rice University
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 15, Problem 21P
Prove that using
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Prove that using x(t) = Asin (ωt + ϕ) will produce the same results for the period for the oscillations of a mass and a spring. Why do you think the cosine function was chosen?
Write the equations that describe the simple harmonic motion of a particle moving uniformly around a circle of radius8units, with linear speed 3units per second.
To be able to solve rectilinear problems with variable functions.
A particle moves with harmonic motion over a path 10in long in 10sec. Find A, V and t when it has moved 5in from one end.
Chapter 15 Solutions
University Physics Volume 1
Ch. 15 - Check Your Understanding Why would it hurt more if...Ch. 15 - Check Your Understanding Identify one way you...Ch. 15 - Check Your Understanding Identify an object that...Ch. 15 - Check Your Understanding An engineer builds two...Ch. 15 - Check Your Understanding Why are completely...Ch. 15 - Check Your Understanding A famous magic trick...Ch. 15 - What conditions must be met to produce SHM?Ch. 15 - (a) If frequency is not constant for some...Ch. 15 - Give an example of a simple harmonic oscillator,...Ch. 15 - Explain why you expect an object made of a stiff...
Ch. 15 - As you pass a freight truck with a trailer on a...Ch. 15 - Some people modify cars to be much closer to the...Ch. 15 - Describe a system in which elastic potential...Ch. 15 - Explain in terms of energy how dissipative forces...Ch. 15 - The temperature of the atmosphere oscillates from...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - Can this analogy of SHM to circular motion be...Ch. 15 - A pendulum clock works by measuring the period of...Ch. 15 - With the use of a phase shift, the position of an...Ch. 15 - Give an example of a damped harmonic oscillator....Ch. 15 - How would a car bounce after a bump under each of...Ch. 15 - Most harmonic oscillators are damped and, if...Ch. 15 - Why are soldiers in general ordered to “route...Ch. 15 - Do you think there is any harmonic motion in the...Ch. 15 - Some engineers use sound to diagnose performance...Ch. 15 - Prove that using x(t)=Asin(t+) will produce the...Ch. 15 - What is the period of 60.0 Hz of electrical power?Ch. 15 - If your heart rate is 150 beats per minute during...Ch. 15 - Find the frequency of a tuning fork that takes...Ch. 15 - A stroboscope is set to flash every 8.00105 s....Ch. 15 - A tire has a tread pattern with a crevice every...Ch. 15 - Each piston of an engine makes a sharp sound every...Ch. 15 - A type of cuckoo clock keeps time by having a mass...Ch. 15 - A mass m0is attached to a spring and hung...Ch. 15 - A 0.500-kg mass suspended from a spring oscillates...Ch. 15 - By how much leeway (both percentage and mass)...Ch. 15 - Fish are hung on a spring scale to determine their...Ch. 15 - It is weigh-in time for the local under-85-kg...Ch. 15 - One type of BB gun uses a spring-driven plunger to...Ch. 15 - When an 80.0-kg man stands on a pogo stick, the...Ch. 15 - A spring has a length of 0.200 m when a 0.300-kg...Ch. 15 - The length of nylon rope from which a mountain...Ch. 15 - The motion of a mass on a spring hung vertically,...Ch. 15 - (a) A novelty clock has a 0.0100-kg-mass object...Ch. 15 - Reciprocating motion uses the rotation of a motor...Ch. 15 - A student stands on the edge of a merry-go-round...Ch. 15 - What is the length of a pendulum that has a period...Ch. 15 - Some people think a pendulum with a period of 1.00...Ch. 15 - What is the period of a 1.00-m-long pendulum?Ch. 15 - How long does it take a child on a swing to...Ch. 15 - The pendulum on a cuckoo clock is 5.00-cm long....Ch. 15 - Two parakeets sit on a swing with their combined...Ch. 15 - (a) A pendulum that has a period of 3.00000 s and...Ch. 15 - A pendulum with a period of 2.00000 s in one...Ch. 15 - (a) What is the effect on the period of a pendulum...Ch. 15 - The amplitude of a lightly damped oscillator...Ch. 15 - How much energy must the shock absorbers of a...Ch. 15 - If a car has a suspension system with a force...Ch. 15 - (a) How much will a spring that has a force...Ch. 15 - Suppose you have a 0.750-kg object on a horizontal...Ch. 15 - Suppose you attach an object with mass m to a...Ch. 15 - A diver on a diving board is undergoing SHM. Her...Ch. 15 - Suppose a diving board with no one on it bounces...Ch. 15 - The device pictured in the following figure...Ch. 15 - A mass is placed on a frictionless, horizontal...Ch. 15 - Find the ratio of the new/old periods of a...Ch. 15 - At what rate will a pendulum clock run on the...Ch. 15 - If a pendulum-driven clock gains 5.00 s/day, what...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - A 2.00-kg object hangs, at rest, on a 1.00-m-long...Ch. 15 - Assume that a pendulum used to drive a grandfather...Ch. 15 - A 2.00-kg block lies at rest on a frictionless...Ch. 15 - A suspension bridge oscillates with an effective...Ch. 15 - Near the top of the Citigroup Center building in...Ch. 15 - Parcels of air (small volumes of air) in a stable...Ch. 15 - Consider the van der Waals potential U(r)=U0[( R 0...Ch. 15 - Suppose the length of a clock’s pendulum is...Ch. 15 - (a) The springs of a pickup truck act like a...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Explain all answers clearly, using complete sentences and proper essay structure if needed. An asterisk (*) des...
The Cosmic Perspective Fundamentals (2nd Edition)
(II) One end of a horizontal string of linear density 6.6 × 10−4 kg/m is attached to a small-amplitude mechanic...
Physics for Scientists and Engineers with Modern Physics
Review your answers to Questions 1-4. Do you still agree with the answers you provided? If not, describe (next ...
Lecture- Tutorials for Introductory Astronomy
A shallow pond contains 94 Mg of water. In winter, its entirely frozen. By how much does the entropy of the pon...
Essential University Physics: Volume 1 (3rd Edition)
3. (l) What is the magnitude of the force a +25 µc charge exerts on a +2.5 mC charge 16 cm away?
Physics: Principles with Applications
Bubble gums density is about 1 g/cm3. You blow an 8-g wad of gum into a bubble 10 cm in diameter. Whats the bub...
Essential University Physics (3rd Edition)
Knowledge Booster
Similar questions
- Let the initial position and speed of an overdamped, nondriven oscillator be x0 and v0, respectively. (a) Show that the values of the amplitudes A1 and A2 in Equation 3.44 have the values A1=2x0+v021 and A2=1x0+v021 where 1 = 2 and 2 = + 2. (b) Show that when A1 = 0, the phase paths of Figure 3-11 must be along the dashed curve given by x=2x, otherwise the asymptotic paths are along the other dashed curve given by x=1x. Hint: Note that 2 1 and find the asymptotic paths when t .arrow_forwardObtain the response of a linear oscillator to a step function and to an impulse function (in the limit τ → 0) for overdamping. Sketch the response functions.arrow_forwardA mass of 55 grams stretches a spring by 8 cm. (Note that this means the forces balance, and thus mg = kx where m = 55 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 8 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 23 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude isarrow_forward
- An object attached to a spring vibrates with simple harmonic motion as described by the figure below. A coordinate plane is shown with t (s) on the horizontal axis and x (cm) on the vertical axis. A curve is shown to make one and a half complete oscillations along t. The curve begins at the origin moving with a steep slope. The curve is moving with increasing x and decreasing slope until it is horizontal and at its maximum at (1, 2). From (1, 2) the slope of the curve becomes negative and steadily decreases until it crosses the t-axis at (2, 0) with a steep negative slope. From (2, 0) the curve continues below the t-axis with increasing slope until it is horizontal and at its minimum at (3, −2). From (3, −2) the slope of the curve steadily increases until the curve crosses the t-axisat (4, 0) with a steep slope. From (4, 0) one oscillation is complete and the curve repeats the same pattern, decreasing slope until the maximum at (5, 2) and continuing decreasing slope until crossing the…arrow_forwardAn object attached to a spring vibrates with simple harmonic motion as described by the figure below. A coordinate plane is shown with t (s) on the horizontal axis and x (cm) on the vertical axis. A curve is shown to make one and a half complete oscillations along t. The curve begins at the origin moving with a steep slope. The curve is moving with increasing x and decreasing slope until it is horizontal and at its maximum at (1, 2). From (1, 2) the slope of the curve becomes negative and steadily decreases until it crosses the t-axis at (2, 0) with a steep negative slope. From (2, 0) the curve continues below the t-axis with increasing slope until it is horizontal and at its minimum at (3, −2). From (3, −2) the slope of the curve steadily increases until the curve crosses the t-axis at (4, 0) with a steep slope. From (4, 0) one oscillation is complete and the curve repeats the same pattern, decreasing slope until the maximum at (5, 2) and continuing decreasing slope until crossing…arrow_forwardFunction y 2(sin(4x – 7) – 4) , determine its amplitude, phase shift and period.arrow_forward
- A body of mass m is suspended by a rod of length L that pivots without friction (as shown). The mass is slowly lifted along a circular arc to a height h. a. Assuming the only force acting on the mass is the gravitational force, show that the component of this force acting along the arc of motion is F = mg sin u. b. Noting that an element of length along the path of the pendulum is ds = L du, evaluate an integral in u to show that the work done in lifting the mass to a height h is mgh.arrow_forwardShow that the function x(t) = A cos ω1t oscillates with a frequency ν = ω1/2π. What is the frequency of oscillation of the square of this function, y(t) = [A cos ω1t]2? Show that y(t) can also be written as y(t) = B cos ω2t + C and find the constants B, C, and ω2 in terms of A and ω1arrow_forwardAn object is attached to a coiled spring. It is pulled down a distance of 20 cm from its equilibrium position and released. The time for one complete oscillation is 4 seconds. Find the function, D(t), to model the position at time t, and then determine the position at 1.2 seconds. The answer choices below have been rounded to the nearest hundredth of a centimeter.arrow_forward
- If a mass m is placed at the end of a spring, and if the mass is pulled downward and released, the mass-spring system will begin to oscillate. The displacement y of the mass from its resting position is given by a function of the form y = c,cos wt + c2 sin wt (1) where w is a constant that depends on spring and mass. Show that set of all functions in (1) is a vector space.arrow_forward(a) Show that the transformation Q = p + iaq, P = (p − iaq) / (2ia) is canonical and find a generating function. (b) Use the transformation to solve the linear harmonic oscillator problemarrow_forward(a) Show that the transformationQ = p + iaq, P = (p − iaq) / (2ia)is canonical and find a generating function. (b) Use the transformation to solve the linear harmonic oscillator problem.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning