The tip of a tuning fork goes through 420 complete vibrations in a time of 0.440 s. What is the angular frequency?

N10T.1 If you double the amplitude of a harmonic oscilla- tor, the oscillator's period A. Decreases by a factor of 2. B. Decreases by a factor of /2. C. Does not change. D.Increases by a factor of /2. E. Increases by a factor of 2. Changes by some other factor (specify). F.

A mass of 1.64 Kg is connected to a spring of spring constant 9.02 N/m. An oscillation is started by pulling the mass to the right to amplitude 0.779 m before release and the oscillator moves in air. The oscillation decays to 16.7% of the original amplitude in 63.5 seconds.   a.  What would the position of the oscillation be 29.63 seconds after release?

A 0.500 kg stone is moving in a vertical circular path attached to a string that is 75.0 cm long. The stone is moving around the path at a constant frequency of 2.20 rev/sec. At the moment the stone is overhead, the stone is released. The velocity of the stone when it leaves the circular path is   Multiple Choice   10.4 m/s horizontal.   10.4 m/s vertical.   22.0 m/s horizontal.   22.0 m/s vertical.   31.4 m/s horizontal.

IC-3 A 167 gram mass is vibrating about its equilibrium position on the end of a spring as shown in problem SHM-8. While vibrating, the mass is observed to have a maximum speed of 0.500m/s and a maximum acceleration of 6.00m/s. At t0 the mass is at the equilibrium position with a velocity to the left. a) Find the numerical values for the angular frequency o and the amplitude of the motion xm. Hint: think about how Vm and xm are related. b) Find the value of the spring constant of the spring. c) The position of the block is described by x Xmcos(@t+0,). Find all possible values of 0, and then explain how to determine the value of 0, that corresponds to the given conditions. 99+ hp

the spring constant? 3. The bicde of an electrie shaver moves back and forth with simple harmonic motion over a total distance of 2.2 mm and frequency 60. Hz. What is (a) the amplitude, (b) the maximum speed of the blade, and (c) the magnitude of the maximum acceleration of the blade?

8. The new blade on my table saw has a radius of 15.0 cm. My table saw has a maximum speed of 3750rpm. If it takes 2.50 seconds to get up to this final speed, what is the tangential velocity of the tip ofthe saw blade, and how many revolutions does it pass through in that amount of time?

The max displacement from the equilibrium of any oscillator can be doubled by doubling? a. Only the initial speed b. Only the initial displacement C. The initial displacement and the initial speed d. Halving the initial speed while doubling the initial displacement.

5. A pair of hoop earrings is in the form of peace signs and each earring can be made to oscillate withsimple harmonic motion about the point where the earring is attached to the hook that goes throughthe ear lope. The earrings are made of cylindrical silver wire having a density of 10.2 g/cm3and adiameter of 0.15 cm. Each earring can be thought of as consisting of a ring that is 1.5 cm in diameter, acentral vertical rod that is 1.2 cm in length and two diagonal rods, each 0.6 cm in length as shown in thediagram above. The distance from the pivot point of the earring to the center of mass of each diagonalrod is 0.975 cm. Based on this information, determine the period of this physical pendulum.

8. A string on a bass is plucked and oscillates up and down 60 times per second. The amplitude starts out at 0.4cm and decreases by 10% per second. Write an equation for the position, P, of the string as a function of time, t. Assume the string starts at its lowest position.