Introductory Mathematics for Engineering Applications
Introductory Mathematics for Engineering Applications
1st Edition
ISBN: 9781118141809
Author: Nathan Klingbeil
Publisher: WILEY
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Chapter 6, Problem 11P

A spring-mass system is displaced x = 10 cm and let go. The system then vibrates under a simple harmonic motion in the horizontal direction: in other words, it travels back and forth from 10 cm to 10 cm. If it takes the system π / 2 s to complete one cycle of the harmonic motion, determine

(a) The amplitude, frequency. And period of the motion.

(h) The time required for the system to reach 10 cm.

(e) Plot one complete cycle of x ( t ) . And indicate the amplitude, period, and time shift on the graph.

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Chapter 6 Solutions

Introductory Mathematics for Engineering Applications

Ch. 6 - A spring-mass system is displaced x=10 cm and let...Ch. 6 - Suppose the spring-mass system of problem P6-11 is...Ch. 6 - Figure P.13 A spring-mass system for problem...Ch. 6 - The position of a spring-mass system shown in Fig....Ch. 6 - The position of a spring-mass system shown in Fig....Ch. 6 - A simple pendulum of length L=100 cm is shown in...Ch. 6 - Repeat problem P6-16 if L=10 in, and...Ch. 6 - A sinusoidal current i(t)=0.1sin(100t) amps is...Ch. 6 - A sinusoidal current i(t)=200cos(120t+14.86) mA is...Ch. 6 - A series RL circuit is subjected to a sinusoidal...Ch. 6 - A series RL circuit is subjected to a sinusoidal...Ch. 6 - A sinusoidal voltage (t)=10sin(1000t)V is applied...Ch. 6 - A parallel RL circuit is subjected to a sinusoidal...Ch. 6 - A parallel RL circuit is subjected to a sinusoidal...Ch. 6 - Consider the RC circuit shown in Fig. P6.25, where...Ch. 6 - Consider the RC circuit shown in Fig.P6.25, where...Ch. 6 - Two voltages 1(t)=10sin(100t45)V and...Ch. 6 - Repeat problem P6-27 if 1(t)=10cos(100t+90)V and...Ch. 6 - Two voltages 1(t)=102sin(500t34)V and...Ch. 6 - A pair of springs and masses vibrate under simple...Ch. 6 - Suppose the positions of the masses in problem...Ch. 6 - Two oscillating masses are connected by a spring...Ch. 6 - Now assume that the positions of two masses in...Ch. 6 - A manufacturing plant employs a heater and a...Ch. 6 - Repeat problem P6-34 if H(t)=100sin(120t)V and...Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - In the three-phase circuit shown in Fig.P.36....Ch. 6 - The Hip implant shown in Fig. P6.39 is subjected...Ch. 6 - Repeat problem P6-3 if F(t)=15sin(10t)+75N.

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