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A mass of 85 grams stretches a spring by 9 cm. (Note that this means the forces balance, and thus mg = kx where m = 85 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 9 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 22 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) = Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is

A mass of 85 grams stretches a spring by 9 cm. (Note that this means the forces balance, and thus mg = kx where m = 85 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 9 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 22 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) = Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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, A mass of 85 grams stretches a spring by 9 cm. (Note that this means the forces balance, and thus mg kx where m = 85 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 9 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 22 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) = Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is
Transcribed Image Text:, A mass of 85 grams stretches a spring by 9 cm. (Note that this means the forces balance, and thus mg kx where m = 85 grams is mass, g = 981 cm/s is acceleration due to gravity, k is the spring constant, and x = 9 cm is the displacement.) The mass is set in motion from this equilibrium position with an initial downward velocity of 22 cm/s, and there is no damping. Find the position u (in cm) of the mass at any time t (in s). (Assume that position is measured upward from the equilibrium position.) u(t) = Find the frequency (in radians per second), period (in seconds), and amplitude (in cm) of the motion. Frequency is Period is Amplitude is
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