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3. A graph showing the position-versus-time curve for a simple harmonic oscillator is shown in the figure. (Figure 1).What is the graph for a simple harmonic oscillator with the same amplitude and twice the frequency?

Transcribed Image Text:CHW?
Problem 10.05
A graph showing the position-versus-ime curve for a
simple harmonic oscilator is shown in the figure igure
1)
Figure
Tof1
x(cm)
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- A 500g mass is undergoing simple harmonic oscillation that is described by the following equation for its position x(t) from equilibrium: n rad x(t) = (0.50m) cos (6.07 rad/s)t+ 6.0arrow_forwardAs a function of time, the position of the mass in a damped oscillator is given by the following equation: x=Ae-Btcosωt Which of the following is the velocity of the mass as a function of time and if possible tell me why?16.A. -Ae-Bt(ωcosωt+Bsinωt) B. -Ae-Bt(Bcosωt-ωsinωt) C. -Ae-Bt(Bcosωt+ωsinωt) D. ABe-Bt(sinωt+cosωt) E. None of the abovearrow_forwardA mass-spring oscillator is created. It has a period of 6 seconds and an amplitude of 2 cm.When a 0.70 kg-object is attached to the spring hung vertically, it stretches 0.15 m from theequilibrium position. (The following questions can be answered in either order depending onmethod )A. What is the maximum speed of the oscillator?B. What is mass hanging in the spring?arrow_forward
- Letters A-D if possiblearrow_forward3. Below given figure shows a simple oscillator with damping. In this, a mass m is attached to a spring (spring constant k) and a damper with damping force proportional to -bv. The spring and the damper are attached to the walls on the opposite sides of the mass (see Figure). The oscillator can be driven either by moving an attachment point on the damper (Case I) or the end of the spring (Case II). In both cases, the position of the attachment point as a function of time is s(t) = so cos(wat). For BOTH of the above cases, answer each of the following questions. (i). Write the equations of motion of the mass m. (ii). Find the amplitude of steady state solution in terms of given parameters. P Figure: Two weays dn've an oiilator Cae I: mwwo m to Sct) cale II!arrow_forward
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