а b :- t)ea" sin(bt)dt = (to – t)eato sin(bto) + a²+b2 (t – to)eªto cos(bt,) . - a²+b² 29- (eat sin(bt) – eato sin(bt,)) 2ab (eat cos(bt) – eato cos(bt,)) b2)2 (a²+b²)2 FO)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider the system shown in the figure below. Assume the system is moving in a horizontal plane. With k = 10000 N/m, c = 47 kg/s, m = 1 kg, a = 1 m, and F(t) =
10000t N, determine the tip displacement response of the rigid bar at t = 0.007 s. Assume the rigid bar is massless.
Hint:
b
S. (t – t)eat sin(bt)dr =
а
(to - t)eato sin(bto) +
(t – to)eato cos(bt,) +
To
a²+b2
a² +b2
a2-b2
(eat sin(bt) – eato sin(bt,))
2ab
(eat cos(bt) – eato cos(bto))
(a²+b²)2
(a²+b²)2
F(1)
0.28 mm
0.40 mm
1.79 mm
0.55 mm
1.12 mm
Transcribed Image Text:Consider the system shown in the figure below. Assume the system is moving in a horizontal plane. With k = 10000 N/m, c = 47 kg/s, m = 1 kg, a = 1 m, and F(t) = 10000t N, determine the tip displacement response of the rigid bar at t = 0.007 s. Assume the rigid bar is massless. Hint: b S. (t – t)eat sin(bt)dr = а (to - t)eato sin(bto) + (t – to)eato cos(bt,) + To a²+b2 a² +b2 a2-b2 (eat sin(bt) – eato sin(bt,)) 2ab (eat cos(bt) – eato cos(bto)) (a²+b²)2 (a²+b²)2 F(1) 0.28 mm 0.40 mm 1.79 mm 0.55 mm 1.12 mm
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