5. What limits the amplitude of motion of a real vibrating system that is driven at...
3. In a vibrating system, Damping limits the amplitude of vibration at resonance to a finite value There is no vibration if the exciting force vibrates at very high frequencies comparedto the natural frequency The system vibrates together with the exciting force at very low frequencies compared to the natural frequency All of the above are true. a. b. c. d. 4· The cheapest of composite matenals used in small craft hull construction is: a. b. c. d. Carbon fiber-...
A damped vibrating system consists of a spring of stiffness k = 3,600 N/m and a mass of 5 kg. It is damped so that each amplitude is 99% of the previous one (i.e. after a full cycle). (a) Find the frequency of oscillation. (b) Find the damping constant. (c) Find the amplitude of the force of resonant frequency necessary to to keep the system vibrating at 25mm amplitude. (d) What is the rate of increase in amplitude if, at...
Find the amplitude, frequency and period of motion for an object vibrating at the of a horizontal spring if the equation for its position as a function of time is: X = (0.250m) cos(pi/8.00 t) Amplitude Frequency Period Find the position, velocity and acceleration at t = 1.0 s for the wave in question 2: position
Doubling only the amplitude of a vibrating mass-and-spring system produces what effect on the systems mechanical energy A) increases the energy by a factor of square root of two B) increses the energy by a factor of two C) increases the energy by a factor of three D) Increases the energy by a factor of four E) Produces no change
An object is vibrating on a spring with the following equation of motion: ?=(30 ??)cos((2?)/(160)?) a) What is the amplitude (A) ? b) What is the angular frequency? c) What is the frequency(f) and period(T)? d) What is the object’s position at a time t = 1.5 s?
RLC frequency limits Last week you studied the driven RC circuit and the driven RL circuit. Consider the driven series RLC circuit. Its impedance is Z=R+j(ωL−1/(ωC)) . (a) For very high frequencies the driven RLC circuit behaves like an RL circuit (the effect of the capacitor becomes negligible). In this case does the current lead or lag the applied voltage in phase? A. lags B. leads C. neither What value in degrees does |ϕ| approach as ω→∞ ? (b) For...
14.5 The displacement as a function of time of a 0.05-kg object attached to a spring vibrating in simple harmonic motion is shown below. x (cm) 2.00 1.00 0.0034 -9.00 For this motion, find the following: a) The amplitude b) The period c) The angular frequency d) The maximum speed e) The maximum acceleration f What is the amount of mechanical energy of the system during the motion? g) Write an equation for its position as a function of time....
QUESTION 6 130 MARKS For a vibrating system, the body mass is 10 kg, stiffness is 2.5 kN/m, and damping constant is 45 Ns/m. A harmonic force of amplitude 180 N and frequency 3.5 Hz acts on the mass. If the initial displacement and velocity of the mass are 15 mm and 5 m/s, compute the complete solution representing the motion of the mass. 45 (30 Marks) QUESTION 6 130 MARKS For a vibrating system, the body mass is 10...
5. (Vibrating Drum) The motion of a circular elastic membrane, such as the head of a drum, is governed by the two-dimensional wave equation in polar coordinates: tions satisfied by R(r), e(6), and T(t). Note: You do not need to solve these ODEs. 5. (Vibrating Drum) The motion of a circular elastic membrane, such as the head of a drum, is governed by the two-dimensional wave equation in polar coordinates: tions satisfied by R(r), e(6), and T(t). Note: You do...
A block-spring system undergoes simple harmonic motion with an amplitude A. 3.1 If the mass is doubled but the amplitude remains unchanged, how will this affect the total energy of the system? 3.2 Can the displacement and the acceleration of the mass be In the same direction? Explain.