3. A big slug weighing 10 pounds stretches a spring 1/4 foot. The slug is removed and replaced by another slug, of mass 1.6 slugs. The slug on the spring is then taken to the bottom of the sea (where the water offers resistance that is approximately equal to the velocity of the object) and then released from a position of 1/3 foot above the equilibrium with an downward velocity of 5/4 feet per second. (a) Set up the DE for this situation and show all the steps to find the position equation for the spring. Use X for the position and t for the time. Round all values to 2 decimal places for simplicity. (b) Graph your equation from (a), labeling the axes, and use your graph to find the second time where the slug is heading downwards and passes equillibrium. Write a sentence to summarize.
3. A big slug weighing 10 pounds stretches a spring 1/4 foot. The slug is removed and replaced by another slug, of mass 1.6 slugs. The slug on the spring is then taken to the bottom of the sea (where the water offers resistance that is approximately equal to the velocity of the object) and then released from a position of 1/3 foot above the equilibrium with an downward velocity of 5/4 feet per second. (a) Set up the DE for this situation and show all the steps to find the position equation for the spring. Use X for the position and t for the time. Round all values to 2 decimal places for simplicity. (b) Graph your equation from (a), labeling the axes, and use your graph to find the second time where the slug is heading downwards and passes equillibrium. Write a sentence to summarize.
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 57AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Transcribed Image Text:3. A big slug weighing 10 pounds stretches a spring ½ foot. The slug is removed and
replaced by another slug, of mass 1.6 slugs. The slug on the spring is then taken to the
bottom of the sea (where the water offers resistance that is approximately equal to the
velocity of the object) and then released from a position of 1/3 foot above the equilibrium
with an downward velocity of 5/4 feet per second.
(a) Set up the DE for this situation and show all the steps to find the position equation
for the spring. Use X for the position and t for the time. Round all values to 2 decimal
places for simplicity.
(b) Graph your equation from (a), labeling the axes, and use your graph to find the
second time where the slug is heading downwards and passes equillibrium. Write a
sentence to summarize.
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