6. A 2.0 kg mass attached to a 24.0 N/m massless spring is driven by an external forceF = F, cos (2nt) where Fo= 12.0 N. Assuming that the damping coefficient b is so small that it can beneglected, find a) the period of the oscillator, and b) the amplitude of its motion.

Answered: Image /qna-images/answer/dedc8cc9-36e8-4639-a461-8641857c0b80.jpg

Answered: 6. A 2.0 kg mass attached to a 24.0 N/m…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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4. An object of mass of 3.20 kg oscillates in a spring whose constant k = 300 N/m. Its oscillation frequency is 1.67 Hz. (a) Determine the angular frequency of the damped oscillations and the value of the damping constant b for that angular frequency. (b) What value of b would give us a critically damped motion?
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9. An 8-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.96 m upon coming to rest at equilibrium. At time t = 0, an external force F(t) = cos 2t N is applied to the system. The damping constant for the system is 3 N- sec/m. Determine the steady-state solution for the system. correct answer is : 0.1sin(2t + theta), i just dont know how to get there
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A small insect of mass 0.25 g is caught in a spider's web. The web oscillates predominantly with a frequency of 2.70 Hz. What is the value of the effective spring stiffness constant k (in N/m) for the web? Type your answer correct to within two decimal places. Use a period (full stop) for a decimal place, eg. 500.00 - Do not use a comma or input your answer in some form of scientific notation. Do NOT include units in your answer. Type your answer.
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1. The equation of motion of a certain driven damped oscillator is x+7x+6x=4cos2t and initially the particle is at rest at the origin. Find the subsequent motion.
19. A particle of mass m is undergoing forced vibration under the action of a restoring force, a damping force and an external periodic force. If s be the restoring force constant, Rm be the damping force per unit velocity then the amplitude resonant frequency will be Select one: a. (1/2π)√[(s/m) – (Rm2/4m2)] b. (1/2π)√[(s/m) + (Rm2/4m2)] c. (1/2π)√[(s/m) – (Rm2/2m2)] d. (1/2π)√(s/m)
Question 1 Unanswered A simple harmonic oscillator (no damping) has a spring constant of k = 2 N/m and a mass of 2 kg. It is displaced by +1 m from the equilibrium position, and given an initial velocity of +3 m/s. What will the amplitude of the oscillations be? A A = v5m В A = 3m C A = V10m A = V8m Submit Question 2 .. Unanswered
A 507 g mass oscillates with an amplitude of 10.0 cm on a spring whose spring constant is 20.0 N/m. Determine:a. The period.b. The maximum speed.c. The total energy.
1. Free undamped motion. A force of 100 newtons stretches a spring 2 meters. A mass of 2 kg is attached to the end of the spring and is released from a point 25 cm below equilibrium with an upward velocity of 1 m/sec. Find the equation of motion of the mass along with the period, amplitude, and frequency. 2. Free damped motion. A 4 kilogram mass is attached to a spring whose constant is k=17 N/m. The medium through which the mass moves offers a damping force numerically equal to 4 times the instantaneous velocity. Find the equation of motion if the mass is initially released from the equilibrium position with a downward velocity of 1 m/sec fonm the ceiling and comes

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6. A 2.0 kg mass attached to a 24.0 N/m massless spring is driven by an external force F = F, cos (2nt) where Fo= 12.0 N. Assuming that the damping coefficient b is so small that it can be neglected, find a) the period of the oscillator, and b) the amplitude of its motion.