6. A force of 400 newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Find the equation of motion. 7. Another spring whose constant is 20 N/m is suspended from the same rigid support but parallel to the spring/mass system in Problem 6. A mass of 20 kilograms is attached to the second spring, and both masses are initially released from the equilibrium position with an upward velocity of 10 m/s. (a) Which mass exhibits the greater amplitude of motion? (b) Which mass is moving faster at t = π/4 s? At π/2 s? (c) At what times are the two masses in the same position? Where are the masses at these times? In which directions are the masses moving?
6. A force of 400 newtons stretches a spring 2 meters. A mass of 50 kilograms is attached to the end of the spring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Find the equation of motion. 7. Another spring whose constant is 20 N/m is suspended from the same rigid support but parallel to the spring/mass system in Problem 6. A mass of 20 kilograms is attached to the second spring, and both masses are initially released from the equilibrium position with an upward velocity of 10 m/s. (a) Which mass exhibits the greater amplitude of motion? (b) Which mass is moving faster at t = π/4 s? At π/2 s? (c) At what times are the two masses in the same position? Where are the masses at these times? In which directions are the masses moving?
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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I need help on number 7 a-c.
Transcribed Image Text:6. A force of 400 newtons stretches a spring 2 meters. A mass of
50 kilograms is attached to the end of the spring and is initially
released from the equilibrium position with an upward velocity
of 10 m/s. Find the equation of motion.
7. Another spring whose constant is 20 N/m is suspended
from the same rigid support but parallel to the spring/mass
system in Problem 6. A mass of 20 kilograms is attached
to the second spring, and both masses are initially released from
the equilibrium position with an upward velocity of 10 m/s.
(a) Which mass exhibits the greater amplitude of motion?
(b) Which mass is moving faster at t = π/4 s? At π/2 s?
(c) At what times are the two masses in the same position?
Where are the masses at these times? In which directions
are the masses moving?
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