The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900- μ F capacitor, and a 300-Ω resistor. The source has terminal rms voltage V rms = 60.0 V and variable angular frequency ω . (a) What is the resonance angular frequency ω 0 of the circuit? (b) What is the rms current through the circuit at resonance, I rms-0 ? (c) For what two values of the angular frequency, ω 1 and ω 2 , is the rms current hall the resonance value? (d) The quantity | ω 1 − ω 2 | defines the resonance width. Calculate I rms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900- μ F capacitor, and a 300-Ω resistor. The source has terminal rms voltage V rms = 60.0 V and variable angular frequency ω . (a) What is the resonance angular frequency ω 0 of the circuit? (b) What is the rms current through the circuit at resonance, I rms-0 ? (c) For what two values of the angular frequency, ω 1 and ω 2 , is the rms current hall the resonance value? (d) The quantity | ω 1 − ω 2 | defines the resonance width. Calculate I rms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
The Resonance Width. Consider an L-R-C series circuit with a 1.80-H inductor, a 0.900-μF capacitor, and a 300-Ω resistor. The source has terminal rms voltage Vrms = 60.0 V and variable angular frequency ω. (a) What is the resonance angular frequency ω0 of the circuit? (b) What is the rms current through the circuit at resonance, Irms-0? (c) For what two values of the angular frequency, ω1 and ω2, is the rms current hall the resonance value? (d) The quantity | ω1 − ω2| defines the resonance width. Calculate Irms-0 and the resonance width for R = 300 Ω, 30.0 0, and 3.00 Ω. Describe how your results compare to the discussion in Section 31.5.
Figure 8.14 shows a cube at rest and a small object heading toward it. (a) Describe the directions (angle 1) at which the small object can emerge after colliding elastically with the cube. How does 1 depend on b, the so-called impact parameter? Ignore any effects that might be due to rotation after the collision, and assume that the cube is much more massive than the small object. (b) Answer the same questions if the small object instead collides with a massive sphere.
2. A projectile is shot from a launcher at an angle 0,, with an initial velocity
magnitude vo, from a point even with a tabletop. The projectile hits an apple atop a
child's noggin (see Figure 1). The apple is a height y above the tabletop, and a
horizontal distance x from the launcher. Set this up as a formal problem, and solve
for x. That is, determine an expression for x in terms of only v₁, 0, y and g.
Actually, this is quite a long expression. So, if you want, you can determine an
expression for x in terms of v., 0., and time t, and determine another expression for
timet (in terms of v., 0.,y and g) that you will solve and then substitute the value of
t into the expression for x. Your final equation(s) will be called Equation 3 (and
Equation 4).
Draw a phase portrait for an oscillating, damped spring.
Chapter 31 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for University Physics with Modern Physics (14th Edition)
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