Vibrations Engineering: r = 0.25 m initial angle = 1.25 radians initial angular speed = 4 radians per second Calculate the natural frequency in radians per second. (Express the final answer in 4 significant digits)
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Vibrations Engineering:
r = 0.25 m
initial angle = 1.25 radians
initial angular speed = 4 radians per second
Calculate the natural frequency in radians per second. (Express the final answer in 4 significant digits)


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- 13The y-position of a damped oscillator as a function of time is shown in the figure. y (cm) 5 4 3 2 O 7 -2 -3 -4 -5 01 2 3 4 5 6 Incorrect. 7 IVE 8 9 t(s) This function can be described by the y(t) = Age-btcos(wt) formula, where Ao is the initial amplitude, b is the damping coefficient and w is the angular frequency. Determine the damping coefficient. 0.063 S-1 10 11 12 13 14 15 What is the period of the oscillator? Please, notice that the function goes through a grid intersection point. 1.22 s Drevious Tris LOVIOS THCS Submit Answer Unable to interpret units. Computer reads units as Tries 0/12 "S-1". Previous TriesA point rotates about the origin in the ?? plane at a constant radius of 0.266 m with an angular velocity of 8.01 rad/s. The projection of this point's motion on the ?- or ?-axis is simple harmonic. What is the amplitude of the projected simple harmonic motion? What is the projected motion's frequency? What is the projected motion's period?
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- Chapter 15, Problem 072 A uniform circular disk whose radius R is 14.7 cm is suspended as a physical pendulum from a point on its rim. (a) What is its period? (b) At what radial distance r < R is there a pivot point that gives the same period? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show WorkPRACTICE IT Use the worked example above to help you solve this problem. A 0.545 kg object connected to a light spring with a spring constant of 19.0 N/m oscillates on a frictionless horizontal surface. (a) Calculate the total energy of the system and the maximum speed of the object if the amplitude of the motion is 3.00 cm. E = J m/s V max = (b) What is the velocity of the object when the displacement is 2.00 cm? ± m/s (c) Compute the kinetic and potential energies of the system when the displacement is 2.00 cm. KE = J J PES= EXERCISE For what values of x is the speed of the object 0.14 m/s? x = ± cm HINTS: GETTING STARTED I I'M STUCK!In the figure, two blocks (m-1.80 kg and M-9.50 kg) and a spring (k-250 N/m) are arranged on a horizontal frictionless surface. The coefficient of static friction between the two blocks is 0.390. What amplitude of simple harmonic motion of the spring-blocks system puts the smaller block on the verge of slipping over the larger block? Number Units M