A 9.10 kg object oscillates at the end of a vertical spring that has a spring...
A compact object with a mass of 4.80 kg oscillates at the end of a vertical spring with a spring constant of 1.60 ✕ 104 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N · s/m. (a) What is the frequency (in Hz) of the damped oscillation?____________ (b) By what percentage does the amplitude of the oscillation decrease in each cycle? _____________ % (c) Over what time interval (in s) does the...
A metal block with a mass of 8.80 kg oscillates at the end of a vertical spring with a spring constant of 2.20 x 104 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N. s/m. (a) What is the frequency (in Hz) of the damped oscillation? THz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % c) Over what time interval (in s) does the energy...
As shown in the above diagram, a flat object of mass m = 11.8kg oscillates at the end of a vertical spring with a spring constant of k = 2060kg/s2. There is air resistance due to the shape of the object at the end of the spring where the damping coefficient is b = 3.05 kg/s. (a) What is the angular frequency of oscillation? (b) How long does it take for the energy of the system to decrease by 10%?
8. + 0.5/1 points Previous Answers OSUniPhys1 15.5.WA.046. My Note A vertical spring-mass system undergoes damped oscillations due to air resistance. The spring constant is 2.50 x 10 N/m and the mass at the end of the spring is 15.0 kg. (a) If the damping coefficient is b = 4.50 N. s/m, what is the frequency of the oscillator? 6.498 ✓ Hz (b) Determine the fractional decrease in the amplitude of the oscillation after 7 cycles. 316 x What is...
An object of mass m attached to a spring with constant k oscillates with amplitude A. Assuming air resistance and the mass of the spring to be negligible, which of the following changes alone would cause the period of this oscillation to increase? I. Increasing m II. Increasing A III. Using a spring with greater k (A) I only Submit B ) Il only © 1or u only Il or Ill only E ) I, II or III 1. Norm
A bridge oscillates too much during high winds. The bridge is modeled as a spring with simple harmonic motion. The mass of the bridge is 5.0x106 kg and its spring constant is 4.9x10' N/m. The peak vertical displacement of the bridge is 1.0 m from its equilibrium position. In order to reduce this motion, dampers are added to the bridge with a damping coefficient of 3.13x10² kg/s. a) Derive, but do not solve, the equation of motion which describes the...
A bridge oscillates too much during high winds. The bridge is modeled as a spring with simple harmonic motion. The mass of the bridge is 5.0x10 kg and its spring constant is 4.9x107 N/m. The peak vertical displacement of the bridge is 1.0 m from its equilibrium position. In order to reduce this motion, dampers are added to the bridge with a damping coefficient of 3.13x107 kg/s. a) Derive, but do not solve, the equation of motion which describes the...
A 2 kg object oscillates with an initial amplitude of 3 cm on a spring of force constant k = 425 N/m. (a) Find the period. ________ s (b) Find the total initial energy. ________ J (c) If the energy decreases by 1% per period, find the damping constant b and the Q factor. b = ________ kg/s Q = ________
14.4 A 3 kg mass oscillates on the end of a spring with an amplitude of 32 cm. a) If the maximum acceleration of the spring is 43.3 m/s2 , what is the spring constant of the spring? b) What is the frequency of the oscillation? c) If the spring was released at t = 0 s, how many complete oscillations occur in the first 10 s?
A 2.0 kg mass sits on top of a vertical spring that has a spring constant k=100 N/m. A second 2.0 kg mass is dropped from rest starting 1.0 m above the first mass. The dropped mass sticks to the first mass (Velcro) and the masses begin to bounce up and down on the spring. What is the period of the oscillation? What is the amplitude of the oscillation? How much time elapses between the time the masses collide and...