Consider two spring-mass oscillators. The spring constants are related by k2 = 0.75*k1 and the masses are related by m2 = 3.4*m1. If the period of first oscillator is T1 = 11.4 s what is the period of the second oscillator? Use standard MKS unit abbreviations. Your Answer: Answer units

Consider two spring-mass oscillators. The spring constants are related by k2 = 0.75k1 and the masses are related by m2 = 3.4m1. If the period of first oscillator is T1 = 11.4 s what is the period of the second oscillator? Use standard MKS unit abbreviations. Your Answer: Answer units

Name: Consider two spring-mass oscillators. The spring constants are relate
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Consider two spring-mass oscillators. The spring constants are related by k2 =0.75*k1 and the masses are related by m2 = 3.4*m1. If the period of first oscillator isT1 = 11.4 s what is the period of the second oscillator?Use standard MKS unit abbrev

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter12: Oscillatory Motion

Section12.2: Analysis Model: Particle In Simple Harmonic Motion

Problem 12.4QQ: An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is...

See similar textbooks

Similar questions

In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression x=5.00cos(2t+6) where x is in centimeters and t is in seconds. At t = 0, find (a) the position of the piston, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
An object of mass m is hung from a spring and set into oscillation. The period of the oscillation is measured and recorded as T. The object of mass m is removed and replaced with an object of mass 2m. When this object is set into oscillation, what is the period of the motion? (a) 2T (b) 2T (c) T (d) T/2 (e) T/2
We do not need the analogy in Equation 16.30 to write expressions for the translational displacement of a pendulum bob along the circular arc s(t), translational speed v(t), and translational acceleration a(t). Show that they are given by s(t) = smax cos (smpt + ) v(t) = vmax sin (smpt + ) a(t) = amax cos(smpt + ) respectively, where smax = max with being the length of the pendulum, vmax = smax smp, and amax = smax smp2.
Does the period of a pendulum depend upon the mass of the pendulum? How can you obtain the answer to this question? If you suggest experimentation, write a procedure for the experiment. Draw a graph of the period of the pendulum vs. length. Is it linear? (Hint: No, but what doe it look like?) Given the formula for the period of the pendulum would you expect the relationship between period and length to be linear? What are the top two sources of error in this experiment?
If a mass m is attached to a given spring,its period of oscillation is T. If two such springs are connected endto end, and the same mass m is attached, (a) is its period greaterthan, less than, or the same as with a single spring? (b) Verify youranswer to part (a) by calculating the new period, T′, in terms ofthe old period T.
An unhappy 0.400 kg rodent, moving on the end of a spring with force constant 5.50 N/m, is acted on by a damping force Fx=−bv. If the constant bb has the value 0.900 kg/s, what is the frequency of oscillation of the rodent? Express your answer with the appropriate units. For what value of the constant bb will the motion be critically damped? Express your answer in kilogram per second.
A 1.2-kg mass oscillates according to the equationx(t)=0.18 cos(4.5t),where the position x(t) is measured in meters. a) What is the period, in seconds, of this mass? b) What is the maximum acceleration of the mass, in meters per square second?
*Note: only answer Part (f) and (g)*1.) A 102 grams mass hung from a weak spring has stretched it by 3.00cm. Let g = 9.81 m/s2 and calculate(a) the load on the spring and(b) the spring constant in N/m. If the mass-spring system is in static equilibrium and motionless, and the mass is pushed up by +2.00cm and released. Calculate (c) its angular frequency, (d) its frequency, (e) its period, (f) the amplitude of oscillations, and (g) the equation of motion of such oscillations. ( Please Include a Free-Body-Diagram
Q. 10. 4 An oscillator has an equation of x(t) = (0.12 m) cos( 2.753t) Assuming that ω is in SI units, find the period of oscillation in seconds with two digits of precision.
A clock is constructed so that it keeps perfect time when its simple pendulum has a period of exactly 1.000 s. The pendulum bob has length L = 0.2486 m and, instead of keeping perfect time, the clock runs slow by 1.504 minutes per day. What is the free-fall acceleration (in m/s2) at the clock's location? (Give your answer to at least 3 decimal places.) What length of pendulum bob (in m) is required for the clock to keep perfect time? (Give your answer to at least 4 decimal places.) m
A mass on the end of a spring oscillates with an amplitude of 35cm at a frequency of 20 Hz (cycles per second). At t = 0 the mass is at its equilibrium position (x = 0). a) Find the possible equations describing the position of the mass as a function of time, in the form x = A cos (ωt + φ), giving the numerical values of A, ꞷ and φ. b) What are the values of x, dx/dt, and d2x/dt2 at t = 3⁄4 sec?
Ten measurements of the period of a simple pendulum were as follows: 2.13 s, 2.07 s, 2.24 s, 2.20 s, 2.08 s, 2.11 s, 2.15 s, 2.19 s, 2.22 s, 2.16 s (1) Calculate the standard deviation (SD) of the measurement results, and the standard error which is given by:standard error = SD/n