At what positions is the speed of a simple harmonic ocillator half its maximum? That is, what values of x/X give v = ±Vmax /2, where X is the amplitude of the motion?
Q: A string on a bass is plucked and oscillates up and down 50 times per second. The amplitude starts…
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Q: The period of a simple harmonic oscillator is 0.0275 s. What is its frequency ??
A: Given that----- time period = 0.0275 sec Question ❓ What is its frequency ?
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A: Given value--- mass = 1.23 kg. spring constant = 235 N/m. Amplitude = 0.08 m. speed = 0.387 m/s.…
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A: D = A*Sin(t980l) Where D is in cm l is in cm t is in seconds A is in cm Thus, time period = 2πLg
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A: Using the given information of angular velocity we will find the answer.
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- A small fly of mass 0.8 g is caught in a spider's web. The web oscillates predominantly with a frequency of 10 Hz. At what frequency (in Hz) would you expect the web to oscillate if an insect of mass 0.5 g were trapped? (What equation can I use to find the frequency at which it ocilates?)You measure the oscillation period of a flexible rod to be T= 9.20 ± 0.5 ms. The so-called angular frequency ω is obtained from T by the formula: ω=2pi/T Naturally, your calculator gives you the value ω=683.0 s-1. What is the uncertainty on ω s-1? Include two significant figures.A weight of 32 lb stretches a spring 6ft. The weight is pulled down 2ft below the equilibrium position and then released. What initial velocity v0 given to the weight would have the effect of doubling the amplitude of the vibration? Use g=32 ft/sec 2. (Type an exact answer, using radicals as needed.)
- Question 2 ) = – 5 and y (0) = 5. An object is in simple harmonic motion with frequency 6. Suppose y(0) Find its displacement for t> 0. Also, find the amplitude of the oscillation and the sine and cosine of the initial phase angle o. Displacement: y(t) Amplitude sin(ø) cos(ø) =Problem 2: Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale. Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?A 43 kg mass on the end of a spring with spring constant k = 1,470 oscillates with simple harmonic motion x = A cos (@t+@). Find the minimum time taken in seconds (to 3 decimal points) for the mass to travel from 0.81A to 0.54A.
- A pendulum has a period of 5.8 s. If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?The position of a 90 g oscillating mass is given by x(t)=A cos(10t−π/4)x(t)=A cos(10t−π/4), where ttt is in s and the amplitude A=4 cm. If necessary, round your answers to three significant figures. Determine The amplitude. The period. The spring constant. The phase constant.Consider two pendulums with lengths L1 and L2 performing simple harmonic motion. Find the value of ratio L1/L2, if it is given that the first pendulum swings back and forth 10 times per minute, and the second one swings back and forth 300 times per hour.
- A 236 g ball is tied to a string. It is pulled to an O angle of 7.8 and released to swing as a pendulum. A student with a stopwatch finds that 13 oscillations take 18 s. You may want to review (Pages 405 - 407). How long is the string? Express your answer to two significant figures and include the appropriate units. L = μÅ Value Ć Units ?A mass m on a spring with spring constant k oscillates with Simple Harmonic Motion. Assume m and k are both known in base SI units. The exact position of the harmonic oscillator is described by this function. All quantities are expressed in base Sl units: x(t) = cos(3rt + T/4) This is a multi-select question, you must select 2 correct answers to receive full credit. Question #1: VWhat is the period of the oscillation? Question #2: What is the total distance traveled by the oscillator during one full period? (Hint: this is not asking for the displacement) The period of the oscillation is 3n [s] | The period of the oscillation is 3 [s] | The period of the oscillation is 4 T [s] The period of the oscillation is 2/3 [s] The period of the oscillation is 3/4 T² [s] The total distance traveled during one full period is 0 [m] The total distance traveled during one full period is 1 [m] | The total distance traveled during one full period is 2 [m] The total distance traveled during one full…In determining which has the longer period, an oscillator with a frequency of 200 Hz or one with f = 300 Hz, can the subject matter expert help me to review, the difference between ...1/2 and 1/3? The likely answer is 200 Hz, the idea that the smaller the denominator, the longer the period. Just guessing.