decide if the given statement is trueor false, and give a brief justification for your answer. If true,you can quote a relevant definition or theorem from the text.If false, provide an example, illustration, or brief explanationof why the statement is false.(a) The spring force on a mass acts in a direction oppositeto the displacement of the mass from equilibrium.(b) The circular frequency of a spring-mass system is thespring constant k divided by the mass m.

decide if the given statement is trueor false, and give a brief justification for your answer. If true,you can quote a relevant definition or theorem from the text.If false, provide an example, illustration, or brief explanationof why the statement is false.(a) The spring force on a mass acts in a direction oppositeto the displacement of the mass from equilibrium.(b) The circular frequency of a spring-mass system is thespring constant k divided by the mass m.

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University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 24P: Find the frequency of a tuning fork that takes 2.50103 s to complete one oscillation.

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MärkxsfH) Problem 1: A mass of 20 grams stretches a spring by 10/169 meters. (a) Find the spring constant k, the angular frequency w, as well as the period T and frequency f of free undamped motion for this spring-mass system. (b) Find the general solution x(t) of the DE for the free spring-mass system. (c) Suppose that an exterior force of F(t) = 2.5 sin(12t) in Newtons acts on the spring-mass system. Find the equation of motion (the solution x(t)) of the system if the mass initially is at rest in its equilibrium position.
A weight attached to a spring is pulled down 2 inches below the equilibrium position. Complete parts (a) and (b) below. (a) Assuming the period is 5 second, determine a trigonometric model that gives the position of the weight at time t seconds. s(t) = (Simplify your answer. Type an exact answer, using as needed.) (b) What is the frequency? The frequency is oscillations per sec. (Simplify your answer.)
decide if the given statement is trueor false, and give a brief justification for your answer. If true,you can quote a relevant definition or theorem from the text.If false, provide an example, illustration, or brief explanationof why the statement is false. (a) The air resistance experienced by a spring-mass systemis an example of a damping force.(b) The larger the mass, the shorter the period of a springmasssystem that is undergoing simple harmonicmotion.(c) In order for the amplitude of a spring-mass system toincrease without bound, an external driving force mustbe present.
If 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/cm
solved several similar problem s before, so here's the harmonic o scillator ver sion. PROBLEM 4: A SPRING AND A MASS A spring with a spring constant k is initially resting on the floor. A persn then comes over and compresses the spring by putting a mass m on the spring and pushing it a distance A. That is A is the compression dist an ce of the spring and the amount it has been displaced from equilibrium (as shown in the figure above). Now, dearly, for some (large) values of A the spring will laun ch the m ass m up as a projectile. For other (small) values of A the sy stem will oscillate. Draw a free body diagram of the system and cal cul ate A. The frequency of oscill ations of the spring, and B. For what values of A will the mass be launched upw ar d like a projectile? MunnT
It is known that a general solution for the position of a harmonic oscillator is x(t) = C cos (wt) + S sin (wt), where C, S, and ware constants. (Figure 2) Your task, therefore, is to determine the values of C, S, and w in terms of k, m,and init and then use the connection between x (t) and a (t) to find the acceleration. Figure L min x=0 Xinit 1 of 2 > Part A Combine Newton's 2nd law and Hooke's law for a spring to find the acceleration of the block a (t) as a function of time. Express your answer in terms of k, m, and the coordinate of the block x (t). ► View Available Hint(s) a (t) = Submit 17 ΑΣΦ Part B Complete previous part(s) Review | Constants ?
An object is attached to a coiled spring. The object is pulled down (negative direction from the rest position) 5 centimeters, and then released. Write an equation for the distance d of the object from its rest position, aftert seconds if the amplitude is 5 centimeters and the period is 7 seconds. The equation for the distance d of the object from its rest position is (Type an exact answer, using t as needed. Use integers or fractions for any numbers in the equation.) Enter your answer in the answer box. Save for Later 6:03 PM 11/14/2020 P Type here to search Pgup PgDn F12 End PrtScn F8 Home F9 F11 F10 DII F6 F7 Esc F3 F4 F5 F1 F2 & 23 24 5 6 7 8 1 2 3 4. P Y U Q W E R 60 T
cle final answer lo Name towano ipali s 6. A mass on a spring vibrates horizontally on a smooth level surface. Its equation of motion is x(t) = 8 cost, where t is in second and x in centimeter. a. equilibrium position www. 0 heb erit bail ol Find the velocity (magnitude and direction) of the 2π/3. mass at time t = (Positive direction is to the right.) XELS XUS b. Describe in words what is going on to the mass. - What direction is it moving? - Is it speeding up or slowing down? 7. Find the derivative of the function. Simplify as much as possible. f(x) = sin(x) cos(1-x²) 2=175 f.(x f(x) fcall a S
Please can some one explain to the way and the equations that i need to follow in order to solve this quesitonnn Go to a playground where there is a swing. Accelerate the swing and determine the swing time. Then have someone sit on the swing and again determine the swing time. Repeat the attempt, but now let the person stand on the swing. Will the swing time be the same in all trials? Try to hypothesize the reason for any similarity or dissimilarity. How can the hypothesis be tested?Please consider a detailed solution and a good handwriting.THanks in Advance!
For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use II* II for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect.
PROBLEM #1: A vertical force P = 20 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft. Take k = 25 lb/ft. (see picture for illustration). Determine the: (a) forces (b) angle theta for equilibrium Note: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. I need the answer right away, thank you.
For a simple harmonic oscillator with x = A sin ot write down an expression for the velocity. Please use "*" for products (e.g. B*A), "/" for ratios (e.g. B/A) and the usual "+" and "-" signs as appropriate (without the quotes). For trigonometric functions use the usual sin and cos, while for Greek letters such as w, use omega. Please use the "Display response" button to check you entered the answer you expect. U= Display response