1. (a) Explain briefly (i) (ii) Damped oscillation Free oscillation (iii) Forced oscillation

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 40AP: Consider the damped oscillator illustrated in Figure 15.19. The mass of the object is 375 g, the...
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4G
VOLTE
O0 21]1 2:09
You
Just now
1.
(a) Explain briefly
(i) Damped oscillation
(ii) Free oscillation
(iii) Forced oscillation
(b) An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical
spring of spring constant k = 85 N/m, the effect of the fluid resistance is govemed
by the damping constant b=0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) How long does it take for the amplitude of the damped oscillation to drop to
half of its initial value?
(c) A string that is stretched under tension of magnitude t= 40 N has a linear
density u of 64 g/m. A wave is traveling along the string with a frequency fof
120 Hz and amplitude A of 8 mm.
(i) Find the speed of the wave.
(ii) What is the rate of energy that must be supplied by a generatorto produce this
wave in the string?
(ii) If the string is to transfer energy at a rate of 500 W, what must be the required
wave amplitude when all other parameters remain the same?
100 m
Sound pulse
Figure 1
< O O
Transcribed Image Text:4G VOLTE O0 21]1 2:09 You Just now 1. (a) Explain briefly (i) Damped oscillation (ii) Free oscillation (iii) Forced oscillation (b) An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring constant k = 85 N/m, the effect of the fluid resistance is govemed by the damping constant b=0.07kg/s. (i) Find the period of the damped oscillation. (ii) How long does it take for the amplitude of the damped oscillation to drop to half of its initial value? (c) A string that is stretched under tension of magnitude t= 40 N has a linear density u of 64 g/m. A wave is traveling along the string with a frequency fof 120 Hz and amplitude A of 8 mm. (i) Find the speed of the wave. (ii) What is the rate of energy that must be supplied by a generatorto produce this wave in the string? (ii) If the string is to transfer energy at a rate of 500 W, what must be the required wave amplitude when all other parameters remain the same? 100 m Sound pulse Figure 1 < O O
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