A 2 pound weight is attached to a spring which has a spring constant of 4 pound / feet. The weight is released from a point 6 inches below the equilibrium position with a downward velocity of 2 feet / second, in a medium that exhibits a resistance to movement numerically equal to the instantaneous velocity. DETERMINE d) the graph of the equation of motion. .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
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A 2 pound weight is attached to a spring which has a spring constant of 4 pound / feet. The weight is released from a point 6 inches below the equilibrium position with a downward velocity of 2 feet / second, in a medium that exhibits a resistance to movement numerically equal to the instantaneous velocity.

DETERMINE

d) the graph of the equation of motion.

.

2) a) mdx eKX
dt
K x +B.
-4 (16x) + 1
16.
Ma 3,814
32
m =
16
+16 fts"
6 pulg= 0,5ft
E)= e
- 3.314 x
Cos+3,34k) ,
e-S,34t (0,5+3,314€)=0
0,5 + 3, 314t
t = 0,151S e
t= 0,5
= 0,151S
3,314
- 0, 25 S
64
-3. 3u(025)
= 0,937€
xC0,2s] =0, 437
Transcribed Image Text:2) a) mdx eKX dt K x +B. -4 (16x) + 1 16. Ma 3,814 32 m = 16 +16 fts" 6 pulg= 0,5ft E)= e - 3.314 x Cos+3,34k) , e-S,34t (0,5+3,314€)=0 0,5 + 3, 314t t = 0,151S e t= 0,5 = 0,151S 3,314 - 0, 25 S 64 -3. 3u(025) = 0,937€ xC0,2s] =0, 437
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