3. A particle makes 100 oscillations during 100 s. Amplitude is diminished by factor of 2.718...
3. The initial amplitude of the simple pendulum A = 0.2m. The amplitude after 10 oscillations is A = 0.1. Find the logarithmic decrement and damping coefficient if the period of oscillations is 1 = 5s. Write down the equation of oscillations.
1. Oscillating system performs damped oscillations with frequency 1000 Hz. Determine the frequency of natural oscillations if the resonance frequency is 998 Hz. 2. Amplitude of vibrations during 5 minutes decreased by 2 times, during which time the amplitude reduced by 8 times? 3. For 8 minutes amplitude decreased 8 times. Find damping factor. 4. Determine how much resonance frequency is different from the natural oscillation frequency (1kHz) when the damping factor is 400 s decreased 20 times 6. The...
A shock absorber is designed to quickly damp out the oscillations that a car would otherwise make because it is suspended on springs. Find the period of oscillation of a 1590-kg car that is suspended by springs that make an effective force constant of 5.55×104N/m. Find the damping constant b that will reduce the amplitude of oscillations of this car by a factor of 5.00 within a time equal to half the period of oscillation.
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H Assignment submission -MCE 3 X Bb EMT 4923 Mechanical vibrations x X Cluil ()X nylearn.hct.ac.ae/bbcswebdav/pid-12428971-dt-content-rid-20811679 1/courses/201830 30831/LO2.pdf 6. An underdamped shock absorber for a moon-buggy is to be designed. The system can be considered as simple SDOF system weighing 2500 N as shown in Figure 2 (a) and its damped free vibration response is shown in Figure 2 (b).If the damped period of vibration is to be 0.8 sec...
1. The maximum acceleration of velocity is 1 m/s. Calculate the time period of particle and the amplitude of oscillations
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg∙m/s, and the mass is 0.050 kg. If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?
A particle of mass 5.0 × 10–3 kg, moving with simple harmonic motion of amplitude 0.15 m, takes 47 s to make 50 oscillations. What is the maximum kinetic energy of the particle?
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 = ________
1. The amplitude of simple harmonic motion is 4 cm, a velocity at its equilibrium position is 2 m/s. Find the angular frequency of these oscillations and their period
An oscillator has a period of 2.5 s. Its amplitude decreases by 7% during each cycle. (a) By how much does its energy decrease during each cycle? % (b) What is the time constant τ? (c) What is the Q factor?