Problem 4 An object with mass 3.2 kg is executing simple harmonicmotion, attached to a spring with spring constant k = 330N/m. When the object is 0.026 m from its equilibriumposition, it is moving with a speed of 0.56 m/s%3DPart ACalculate the amplitude of the motion.Express your answer to two significant figures andinclude the appropriate units.HAValueAUnits Part BCalculate the maximum speed attained by the object.Express your answer to two significant figures andinclude the appropriate units.HA?ValueUmax%3DUnits

Name: Problem 4 An object with mass 3.2 kg is executing simple harmonicmotio
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: Problem 4 An object with mass 3.2 kg is executing simple harmonicmotion, attached to a spring with spring constant k = 330N/m. When the object is 0.026 m from its equilibriumposition, it is moving with a speed of 0.56 m/s%3DPart ACalculate the amplit

Answered: Image /qna-images/answer/d62b3931-a7be-4dae-b292-1c27a33d3d3c.jpg

Science

Physics

An object with mass 3.2 kg is executing simple harmonic motion, attached to a spring with spring constant k = 330 N/m. When the object is 0.026 m from its equilibrium position, it is moving with a speed of 0.56 m/s . Part A Calculate the amplitude of the motion.

An object with mass 3.2 kg is executing simple harmonic motion, attached to a spring with spring constant k = 330 N/m. When the object is 0.026 m from its equilibrium position, it is moving with a speed of 0.56 m/s . Part A Calculate the amplitude of the motion.

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

Section: Chapter Questions

Problem 8OQ

See similar textbooks

Similar questions

At what positions is the speed of a simple harmonic oscillator halt its maximum? That is, what values of x/X give v=vmax/2, where X is the amplitude of the motion?
Consider the damped oscillator illustrated in Figure 15.19. The mass of the object is 375 g, the spring constant is 100 N/m, and b = 0.100 N s/m. (a) Over what time interval does the amplitude drop to half its initial value? (b) What If? Over what time interval does the mechanical energy drop to half its initial value? (c) Show that, in general, the fractional rate at which the amplitude decreases in a damped harmonic oscillator is one-half the fractional rate at which the mechanical energy decreases.
Engineering Application: A suspension bridge oscillates with an effective force constant of 1.00108N/m. (a) How much energy is needed to make it oscillate with an amplitude of 0.100 m? (h) It soldiers march across the bridge with a cadence equal to the bridge’s natural frequency and impart 1.00104J of energy each second, how long does it take for the bridge's oscillations to go from 0.100 m to 0.500 m amplitude?
A baby bounces up and down in her crib. Her mass is 12.5 kg, and the crib mattress can be modeled as a light spring with force constant 700 N/m. (a) The baby soon learns to bounce with maximum amplitude and minimum effort by bending her knees at what frequency? (b) If she were to use the mattress as a trampoline losing contact with it for part of each cyclewhat minimum amplitude of oscillation does she require?
In an engine, a piston oscillates with simpler 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 = O. find (a) the position of the particle, (b) its velocity, and (c) its acceleration. Find (d) the period and (e) the amplitude of the motion.
A block with mass m = 0.1 kg oscillates with amplitude .A = 0.1 in at the end of a spring with force constant k = 10 N/m on a frictionless, horizontal surface. Rank the periods of the following situations from greatest to smallest. If any periods are equal, show their equality in your tanking, (a) The system is as described above, (b) The system is as described in situation (a) except the amplitude is 0.2 m. (c) The situation is as described in situation (a) except the mass is 0.2 kg. (d) The situation is as described in situation (a) except the spring has force constant 20 N/m. (e) A small resistive force makes the motion underdamped.
Review. A particle of mass 4.00 kg is attached to a spring with a force constant of 100 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 2.00 m. A 6.00-kg object is dropped vertically on top of the 4.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision? (b) By what factor has the period of the system changed? (c) By how much does the energy of the system change as a result of the collision? (d) Account for the change in energy.
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?
A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3 600 rev min. Taking the extremes of its position relative to its center point as 5.00 cm, find the magnitudes of the (a) maximum velocity and (b) maximum acceleration of the piston.
Figure 12.4 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. Figure 12.4 (Quick Quiz 12.3) Two xt graphs for particles undergoing simple harmonic motion. The amplitudes and frequencies are different for the two particles.