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The be vibrations of the body of a helicopter due to the periodic force applied by the rotation of the rotor can be modeled by a frictionless spring-mass-damper system subjected to an external periodic force. The position x (t) of the mass is given by the equation:
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Chapter 5 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
- Consider the sinusoidal voltagev(t)=150cos(120πt−60∘)V What is the maximum amplitude of the voltage? What is the frequency in hertz? What is the frequency in radians per second? What is the phase angle in radians? What is the phase angle in degrees? What is the period in milliseconds? What is the first time after t=0 that v= 150 V? The sinusoidal function is shifted 125/18ms125/18ms to the right along the time axis. What is the expression for v(t)? What is the minimum number of milliseconds that the function must be shifted to the left if the expression for v(t) is 150sin(120πt)V?arrow_forwardWhich is true about the figure shown below: v(t) i(t) 25° wt 90° O a. v(t) lags i(t) by 65° O b. v(t) leads i(t) by 25° O c. v(t) leads i(t) by 65° O d. v(t) lags i(t) by 25°arrow_forwardPlot the sinusoid for t 0 to T, where A = 150 mA, f= 35 Hz and 0 = - 30° : %3D i(t) = A sin (@t + 0)arrow_forward
- v(t) (V) Vrvgh t ts t(s) Compute the rms value of the voltage given by the periodic waveform shown. V = 15V t1 = 1s tą = 5s %3D V- Vrms TmSarrow_forwardProblem 1: Periodic Nonsinusoidal currents u(1) = 100+100/2 sin(@t -90) +100/2 sin 2or,V 0 =1000 rad/s, R1= 52, L=5 mH, C=100µF i(t) Find: a) the nonsinusoidal currents: i(t) =? iz(t) = ? i(t)=? A2arrow_forwardFind the steady state current produced in the series RLC circuit shown in figure (1) if the supplied voltage is given by the periodic pulse shown in figure (2). w 250 Ω i(t) 000 0.02 H E Figure (1) 2 UF E(t) Eo 0 0.005 0.01 0.015 0.02 0.025 Figure (2)arrow_forward
- (p) Suppose for some arbitrary system: 2 H(s) = 1 20.97 12- 0.97 s+2 - j2 s+2 + j2 Write down h(t), assuming that it is causal. If you think the answer should include sinusoidal terms, your answer must reveal so.arrow_forwardDraw the following expressions as time domain graphs. 13. v = 10 sin 2n100t 14. v = 20 sin 2n1000t + 45° 15. v = 5 + 6 sin 2n100tarrow_forward85. Within the elasic limit, elongation is proportional to the applied force. This law is ascribed to O Faraday O Henry O Newton O Hooke 86. Which of the followingnis not true of thecunit impilse function? O The area under the curve is 0. O Its value at t=0 is infinity O The area under the curve Its laplace transformmis 1.is 1. 87. Consider a series connection of R=2 Ohms, C=3F, a switch, and a voltage source, E=12 Volts. Assume that the capacitor is initially uncharged. If the switch is flipped on at t=0, what will be the charge on the capacitor immediately after the switched is closed? O 5C 6C 000 OC 1.5 C 88. The time constant for an R-C combination is O R/C OR+C ORC O C/R 89. Which of the following is the reason why the voltage across a capacitor cannot change instantaneously? O Ohm's Law O Faraday's Law O i=Cdv/dt O i=dq/dt 90. Given the loop transfer function G(s)H(s)=K(s+6)/(s+3)(s+5). The number of open loop zeros, Z, is O 0 O 3 1arrow_forward
- Determine for the following diagram, what is the damping factor and natural frequency of the system. Imaginary Axis (seconds) 15 10 -10 -15 -3 -2.5 Root Locus X-1.5 Y 2.598 -2 -1.5 -1 Real Axis (seconds¹) -0.5 0 0.5arrow_forwardVm = 10 V T = 2 ms V0 = 7.07 V 1) Write the expression for v(t) using the cosine function. Express phi in degrees. 2) Write the expression for v(t) using the sine function. Express phi in degrees.arrow_forwardWhat is the amplitude and time constant of the following waveform: V1(t) = 15 e^(-100t)u(t) Varrow_forward
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