A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in motion from its equilibrium position with a downward velocity of cm 60 and if there is no damping, determine the position u of the S mass at any time t. 7 m NOTE: Assume g = 9.8 and enter an exact answer. m X When does the mass first return to its equilibrium position? NOTE: Enter an ezact answer. u(t) = 3.75 sin(16 t) t - T 16

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 38CT
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A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in
motion from its equilibrium position with a downward velocity of
cm
60 and if there is no damping, determine the position u of the
3
S
mass at any time t.
NOTE: Assume g = 9.84 and enter an exact answer.
m
8⁹
m X
When does the mass first return to its equilibrium position?
NOTE: Enter an exact answer.
u(t) = 3.75 sin(16 t)
-
π
16
Transcribed Image Text:A mass of 50 g stretches a spring 3.828125 cm. If the mass is set in motion from its equilibrium position with a downward velocity of cm 60 and if there is no damping, determine the position u of the 3 S mass at any time t. NOTE: Assume g = 9.84 and enter an exact answer. m 8⁹ m X When does the mass first return to its equilibrium position? NOTE: Enter an exact answer. u(t) = 3.75 sin(16 t) - π 16
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