1. A mass having a weight of 8 pounds stretches a spring 8 inches. The mass is released at a point 2 feet above the equilibrium position with a velocity of 4 feet per second downward. a) Find the equation of motion in the form x(t) =Asin(+) where 0<<2. Express the value of A and mas exact values and express in radians accurate to 4 decimal places. b) Find the time the mass crosses the equilibrium position the first time the mass is headed upwards. You must solve for this algebraically.
1. A mass having a weight of 8 pounds stretches a spring 8 inches. The mass is released at a point 2 feet above the equilibrium position with a velocity of 4 feet per second downward. a) Find the equation of motion in the form x(t) =Asin(+) where 0<<2. Express the value of A and mas exact values and express in radians accurate to 4 decimal places. b) Find the time the mass crosses the equilibrium position the first time the mass is headed upwards. You must solve for this algebraically.
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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Transcribed Image Text:1. A mass having a weight of 8 pounds stretches a spring 8 inches. The mass is released at a point 2 feet above the
equilibrium position with a velocity of 4 feet per second downward.
a) Find the equation of motion in the form x(t) =Asin(+) where 0<<2. Express the value of A and mas
exact values and express in radians accurate to 4 decimal places.
b) Find the time the mass crosses the equilibrium position the first time the mass is headed upwards. You must solve
for this algebraically.
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