Clear selectionThe equation of motion of a particle in simple harmonic motion is given by: x(t) =0.3cos(wt), where x is in meters and tis in seconds. At x = 0, the particle'svelocity is v = -1.256 m/s. The period of oscillation. T. equals:1.5 secO 0.5 secO 3 secO 0.25 sec1 secAmusical note on a plano has a frequency of 4OHZ.f the tension in the 2-mIng is 308 N. and one-half wavelength occupies the string, what is the mass of

Name: Clear selectionThe equation of motion of a particle in simple harmoni
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Clear selectionThe equation of motion of a particle in simple harmonic motion is given by: x(t) =0.3cos(wt), where x is in meters and tis in seconds. At x = 0, the particle'svelocity is v = -1.256 m/s. The period of oscillation. T. equals:1.5 secO 0

Answered: Image /qna-images/answer/a3d84f03-f95f-4688-83fa-5dbde6c53153.jpg

Science

Physics

The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's %3D velocity is v = -1.256 m/s. The period of oscillation, T, equals: O 1.5 sec O 0.5 sec O 3 sec O 0.25 sec 01 sec

The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's %3D velocity is v = -1.256 m/s. The period of oscillation, T, equals: O 1.5 sec O 0.5 sec O 3 sec O 0.25 sec 01 sec

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter15: Oscillatory Motion

Section15.2: Analysis Model: Particle In Simple Harmonic Motion

Problem 15.3QQ: Figure 15.4 shows two curves representing particles undergoing simple harmonic motion. The correct...

See similar textbooks

Similar questions

Suppose you have a 0.750kg object on a horizontal surface connected to a spring that has a force constant of 150N/m. There is simple friction between me object and surface with a static coefficient of friction =0.100. (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and me kinetic coefficient of friction is k=0.0850, what total distance does it travel before stopping? Assume it starts at me maximum amplitude.
Is it possible to have damped oscillations when a system is at resonance? Explain.
Explain in terms of energy how dissipative forces such as friction reduce the amplitude of a harmonic oscillator. Also explain how a driving mechanism can compensate. (A pendulum clock is such a system.)
Two identical harmonic oscillators are placed such that the two masses slide against one another, as in Figure 12-A. The frictional force provides a coupling of the motions proportional to the instantaneous relative velocity. Discuss the coupled oscillations of the system.
Figure 15.4 shows two curves representing particles undergoing simple harmonic motion. The correct description of these two motions is that the simple harmonic motion of particle B is (a) of larger angular frequency and larger amplitude than that of particle A, (b) of larger angular frequency and smaller amplitude than that of particle A, (c) of smaller angular frequency and larger amplitude than that of particle A, or (d) of smaller angular frequency and smaller amplitude than that of particle A.
You stand on the end of a diving board and bounce to set it into oscillation. You find a maximum response in terms of the amplitude of oscillation of the end of the board when you bounce at frequency f. You now move to the middle of the board and repeat the experiment. Is the resonance frequency for forced oscillations at this point (a) higher, (b) lower, or (c) the same as f?
How would a car bounce after a bump under each of these conditions? (a) overdamping (b) underdamping (c) critical damping
The grandfather clock in the opening storyline depends on the period of a pendulum to keep correct time. (i) Suppose the clock is calibrated correctly and then a mischievous child slides the bob of the pendulum downward on the oscillating rod. Does the grandfather clock run (a) slow, (b) fast, or (c) correctly? (ii) Suppose a grandfather clock is calibrated correctly at sea level and is then taken to the top of a very tall mountain. Does the grandfather clock now run (a) slow, (b) fast, or (c) correctly?
A simple pendulum can be modeled as exhibiting simple harmonic motion when is small. Is the motion periodic when is large?
Question Post-2: When a torsion pendulum oscillates, does the period of motion depend onthe amplitude? Explain
If a pendulum-driven clock gains 6.65 s/day, what fractional change in pendulum length must be made for it to keep perfect time? Express your answer as a percentage change; keep sufficient significant figures. Note: this problem may seem a little intimidating, but you can do it! Read both of the hints carefully, and think about what quantities are changing and which are not. dll=dll= %
A spring scale at the grocery store reads 19N. Sean discovers that the pan goes down 8.0cm when he puts in the oranges. If he taps the bottom of the pan filled with oranges to make it bounce down and up, what is its oscillation frequency? Ignore the mass of the pan. 1. Sketch a picture of the scenario 2. What is the period of oscillation, the mass of the oranges, and the spring constant?