Q- An alternating waveform is given by the voltage as a function of time as
V(t) = 3 cos (2t) + 4 sin (2t)
Calculate the peak voltage, rms voltage and the phase at t = 0.
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Alternating current
Q- A 100 µF capacitor is connected in turn to two different sinusoidal voltages of the same amplitude V = 1.0V but different frequencies with f1 = 50Hz and f2 = 5kHz.
(a) Calculate the reactance X1 and X2
(b) By what factor is X1 greater than X2 ?
(c) Calculate the amplitudes of the associated c…
Projectile Motion
Q- An airplane with a speed of 75 m/s is climbing upward at an angle of 37.0 ° with respect to the horizontal. When the plane's altitude is 600 m, the pilot releases a package.
(a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the p…
Alternating Current Circuits
Q- A sinusoidal voltage v(t) = (40.0V) sin(100t) is applied to a series RLC circuit with L = 160 mH, C = 00.9 µf, and R = 68 Ohm
a) What is the impedance of the circuit?
b) What is the maximum current?
c) Determine the phase angle ϕ and the average power in the equation i (t) = Imax sin (ωt – ϕ…
Elasticity
Q- A steel bar (Ysteel = 210 GPa) and an aluminum bar (Yaluminum) = 10 GPa are bonded together to form the composite bar as shown. Determine the maximum stress in (a) the aluminum, (b) the steel, when the bar is bent towards aluminum bar about a horizontal axis, with a torque M = 60 Nm.
AC
Q- A series AC circuit contains the following components: R = 150 Ohm, L = 250 mH, C = 2.00 micro-Farad and a source with Vmax = 210 V operating at 50.0 Hz. Calculate the
a) Inductive reactance
b) Capacitive reactance
c) Impedance
d) Maximum current
e) Phase angle between source voltage and cu…
Simple Harmonic Motion
Q1- A particle moves in simple harmonic motion with a frequency of 1.80 Hz and and amplitude of 6.00 cm. What is it maximum speed of the particle?
Q2- A transverse wave on a string is described by the following wave function.
y = (0.115 m) sin (3.14*x/8 + 12.56*t)
(a) Determine the transverse spe…
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