An object is moving in damped SHM, and the damping constant can be varied. If the angular frequency of the motion is v when the damping constant is zero, what is the angular frequency, expressed in terms of v, when the damping constant is one-half the critical damping value?
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An object is moving in damped
can be varied. If the angular frequency of the motion is v when the
damping constant is zero, what is the angular frequency, expressed in
terms of v, when the damping constant is one-half the critical damping
value?
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- The position of a damped oscillator as a function of time is shown in the figure. XX position (cm) 5 4 3 2 A Ń ♡ 5 0 1 2 5 6 7 8 9 10 t(s) This function can be described by the x(t) = Age-Ytcos(wt) formula, where Ao is the initial amplitude, y is the damping coefficient and w is the angular frequency. 4 M 11 12 13 14 15 What is the period of the oscillator? Please, notice that the function goes through a grid intersection point. 1.33s Determine the damping coefficient. Submit Answer You have entered that answer before Incorrect. Tries 5/12 Previous Tries Submit Answer Incorrect. Tries 3/12 Previous TriesA spring-mass system is in simple harmonic motion with frequency 3.2 Hz and amplitude of 6.4 cm. If t = 0.0s when its displacement is a maximum (hence x = 6.4 cm when t = 0), what is the mass' displacement when t = 3.3 s? Choose the correct answer.The properties of a spring are such that a load of 4 g produces an extension of 1.1 cm. A mass of 0.1 kg hangs at the end of the spring in equilibrium. The mass is then pulled vertically downward through a distance of 6 cm and released. Calculate the period of vibration of the 0.1 kg mass. Give your answer in SI units.
- The properties of a spring are such that a load of 10 g produces an extension of 1.9cm. A mass of 0.1 kg hangs at the end of the spring in equilibrium. The mass is then pulled vertically downward through a distance of 6 cm and released. Calculate the period of vibration of the 0.1 kg mass. Give your answer in Sl units.An object is moving up and down in damped harmonic motion. Its displacement at time t = 0 is 15 in.; this is its maximum displacement. The damping constant is c = 0.2, and the frequency is 14 Hz. (a) Find a function that models this motion.y =The properties of a spring are such that a load of 10 g produces an extension of 1.4 cm. A mass of 0.1 kg hangs at the end of the spring in equilibrium. The mass is then pulled vertically downward through a distance of 6 cm and released. Calculate the period of vibration of the 0.1 kg mass. Give your answer in SI units.
- A mass of 2 kg on a spring with k = 6 N/m and a damping constant c= 4 Ns/m. Suppose Fo = v2 N. Using forcing function Fo cos(wt), find the w that causes practical resonance and find the amplitude.Quantum mechanics is used to describe the vibrational motion of molecules, but analysis using classical physics gives some useful insight. In a classical model the vibrational motion can be treated as SHM of the atoms connected by a spring. The two atoms in a diatomic molecule vibrate about their center of mass, but in the molecule HIHI, where one atom is much more massive than the other, we can treat the hydrogen atom as oscillating in SHM while the iodine atom remains at rest. A classical estimate of the vibrational frequency is ff = 7.0×10137.0×1013 HzHz. The mass of a hydrogen atom differs little from the mass of a proton. If the HIHI molecule is modeled as two atoms connected by a spring, what is the force constant of the spring? Express your answer to two significant figures and include the appropriate units. The vibrational energy of the molecule is measured to be about 5×10−20J5×10−20J. In the classical model, what is the maximum speed of the HH atom during its SHM?…Calculate the velocity of a simple harmonic oscillator with amplitude of 13.5 cm and frequency of 5 Hz at a point located 5 cm away from the equilibrium position. Give your answer in Sl units.
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