3.2 Consider the basic system of Fig 2-1a with the following properties: m = 2 kips-sec²/in and k = 20 kips/in. If this system is subjected to resonant harmonic loading (=w) starting from "at rest" conditions, determine the value of the response ratio R(t) after four cycles (t = 8), assuming: y(t) a) c = 0 [use (3-38)] b) c 0.5 kips-sec/in [use (3-37)] c) c = 2.0 kips-sec/in [use (3-37)] ww k m O ARTER SEMARY p(t)
3.2 Consider the basic system of Fig 2-1a with the following properties: m = 2 kips-sec²/in and k = 20 kips/in. If this system is subjected to resonant harmonic loading (=w) starting from "at rest" conditions, determine the value of the response ratio R(t) after four cycles (t = 8), assuming: y(t) a) c = 0 [use (3-38)] b) c 0.5 kips-sec/in [use (3-37)] c) c = 2.0 kips-sec/in [use (3-37)] ww k m O ARTER SEMARY p(t)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Consider the basic system of Fig. 2-1a with the following properties: m = 2 kips · sec2/in and k = 20 kips/in. If this system is subjected to resonant harmonic loading (ω = ω) starting from “at rest” conditions, determine the value of the response ratio R(t) after four cycles (ωt = 8π), assuming:
(a) c = 0 [use Eq. (3-38)]
(b) c = 0.5 kips · sec/in [use Eq. (3-37)]
(c) c = 2.0 kips · sec/in [use Eq. (3-37)]
![3.2 Consider the basic system of Fig 2-1a with the following properties: m = 2 kips-sec²/in and k = 20
kips/in. If this system is subjected to resonant harmonic loading (w) starting from "at rest"
conditions, determine the value of the response ratio R(t) after four cycles (t = 8), assuming:
a) c=0 [use (3-38)]
b)
c)
c 0.5 kips-sec/in [use (3-37)]
1
c = 2.0 kips-sec/in [use (3-37)]
R(1)
=
y(t) 1
Polk 2
le-50t -1]cos cot-
R(t) = -- (sin of - cof cos cot)
2
wwww
k
cos ot+ge-5 sin ot}
(a)
m
Y
[3-37]
[3-38]
p(t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbc49668-6c24-4a22-8f61-417f47b3692e%2F46201ad9-0a58-4c43-9ebd-a64d3145cab8%2Fc71uroi_processed.png&w=3840&q=75)
Transcribed Image Text:3.2 Consider the basic system of Fig 2-1a with the following properties: m = 2 kips-sec²/in and k = 20
kips/in. If this system is subjected to resonant harmonic loading (w) starting from "at rest"
conditions, determine the value of the response ratio R(t) after four cycles (t = 8), assuming:
a) c=0 [use (3-38)]
b)
c)
c 0.5 kips-sec/in [use (3-37)]
1
c = 2.0 kips-sec/in [use (3-37)]
R(1)
=
y(t) 1
Polk 2
le-50t -1]cos cot-
R(t) = -- (sin of - cof cos cot)
2
wwww
k
cos ot+ge-5 sin ot}
(a)
m
Y
[3-37]
[3-38]
p(t)
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