A boy with a mass of 50 kg is hanging from a spring with a spring constant of 200 N/m. With what frequency does the boy bounce up and down?
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- A small fly of mass 0.29 gg is caught in a spider's web. The web oscillates predominantly with a frequency of 3.5 HzHz . a)What is the value of the effective spring stiffness constant kk for the web? b)At what frequency would you expect the web to oscillate if an insect of mass 0.58 gg were trapped?As a 0.5-kg mass oscillates on a spring, its maximum potential energy during the oscillation is 4 Joules. How fast is the mass moving as it passes through the equilibrium position? O Om/s 16 m/s O 2 m/s 8 m/s O 4 m/sA simple pendulum has a bob that weighs 1.50 kg suspended from the end of a light weight cord. If this bob oscillates at a frequency of 0.750 Hz then what is the length of the cord?
- A mass m is attached to a spring with a spring constant k and undergoes simple harmonic motion. A mass m1 is now attached to m, and the period of oscillation is recorded as T1. The mass m1 is removed and a new mass m2 is attached to m, and the period of oscillation is recorded as T2. What are masses m, m1 and m2 if k = 100N/m, T1 = 2.13s, T2 = 1.55s and β ≡ m2/m1 = 0.40?The human eardrum responds to sound by vibrating. If the eardrum moves in simple harmonic motion at a frequency of 2.88 kHz and an amplitude of 0.132 nm, what is its maximum speed of vibration?The pendulum as shown makes small oscillations at cycle frequency f = 0.580 Hz . Next, the cord is replaced with a new cord one-third the length of the original and the mass of the pendulum is tripled. What is the frequency of small oscillations of the pendulum now? 0.580 Hz 0.193 Hz 1.74 Hz 1.00 Hz 0.335 Hz
- A car with a total mass of 1700 kgkg (including passengers) is driving down a washboard road with bumps spaced 4.1 mm apart. The ride is roughest—that is, the car bounces up and down with the maximum amplitude—when the car is traveling at 6.4 m/s. What is the spring constant of the car’s springs?A string with a bowling ball tied to its end is attached to the ceiling. The string is pulled back such that it makes a 10 degree angle with the vertical and it is then released. When the bowling ball reaches its lowest point, it has a speed of 2 m/s. What is the frequency of this bowling ball-pendulum?Vision is blurred if the head is vibrated at 31Hz because thevibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket. If the mass of the eyeball is 7.0 g, what is the effective spring constant of themusculature attached to the eyeball?
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