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This is the link to the simulation- https://phet.colorado.edu/en/simulation/lega

ID: 2075084 • Letter: T

Question

This is the link to the simulation- https://phet.colorado.edu/en/simulation/legacy/resonance Read the web pages: Damped oscillators and Driven oscillators: resonance. To give you some experience with resonance, go to the PhET simulation, Resonance to perform a few tasks. Set the number of resonators to 7 and choose the drop-down under it to be "same spring k". Each mass is now different but the springs are the same. The default values for mass 4 should be 0.81 kg, spring constant 200 N/m, and damping constant 1.0 N-s/m. It notes that the resonant frequency for mass 4 is 2.50 Hz. 1. Turn on the ruler and move it next to mass 4 so you can measure the amplitude of the oscillation. (It "a is easier to make this measurement if you set the sim speed to slow.) At 2.50 Hz, what is the amplitude of the oscillation for mass 4 (to 1 sig fig)? Cm What are the amplitudes for the oscillations of masses 3 and 5? Cm 2. Explore what happens as you change the frequency up and down in steps of 0.1. Describe the result.

Explanation / Answer

Q.1. Amplitude for mass 4

A4 = 6 cm

A3 = 1 cm

A5 = 2 cm

Q.2. As we change the frequency up and down in steps of 0.1 the amplitude of oscillations decreases for mass 4 but increases for other masses it may be due to maximum amplitude is achieved when there is resonance between natural frequency and derivers frequency.

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