The figure below shows a dynamic system in a horizontal plane pivoted at point O. The system comprises a rigid bar with transverse springs attached at a distance a= 0.7 m from the pivot point. A mass M- 2kg is situated at the end of the bar, a further distance b 0.7 m from the spring attachment points. The bar has mass m 1 kg. The two. springs have stiffness K 4kN/m and K₂ 15kN/m respectively. The mass is connected to a damper with damping constant C10Ns/kg and forced by a dynamic loading F F, cos(ft) where the magnitude of the load is F50 N, the driving frequency is ft 43 rad/s, and time is t (s). Determine the amplitude of the total rotational m(a+b). Note Assume that clockwise response in degrees at t=0.1 s. given zero initial conditions. Note: the mass moment of inertia of rigid bar about pivot point is J is the positive direction. 2.14 degrees -0.73 degrees 0.33 degrees -0.41 degrees 0.85 degrees M F(t) Rigid bar I Activate Windows
The figure below shows a dynamic system in a horizontal plane pivoted at point O. The system comprises a rigid bar with transverse springs attached at a distance a= 0.7 m from the pivot point. A mass M- 2kg is situated at the end of the bar, a further distance b 0.7 m from the spring attachment points. The bar has mass m 1 kg. The two. springs have stiffness K 4kN/m and K₂ 15kN/m respectively. The mass is connected to a damper with damping constant C10Ns/kg and forced by a dynamic loading F F, cos(ft) where the magnitude of the load is F50 N, the driving frequency is ft 43 rad/s, and time is t (s). Determine the amplitude of the total rotational m(a+b). Note Assume that clockwise response in degrees at t=0.1 s. given zero initial conditions. Note: the mass moment of inertia of rigid bar about pivot point is J is the positive direction. 2.14 degrees -0.73 degrees 0.33 degrees -0.41 degrees 0.85 degrees M F(t) Rigid bar I Activate Windows
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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Transcribed Image Text:The figure below shows a dynamic system in a horizontal plane pivoted at point O. The system comprises a rigid bar with transverse springs attached at a distance a = 0.7 m
from the pivot point. A mass M-2 kg is situated at the end of the bar, a further distance b=0.7 m from the spring attachment points. The bar has mass m= 1 kg. The two
springs have stiffness K₁= 4kN/m and K₂ = 15 kN/m respectively. The mass is connected to a damper with damping constant C 10 Ns/kg and forced by a dynamic
loading F= Fo cos(ft) where the magnitude of the load is Fo=50 N, the driving frequency is ft=43 rad/s, and time is t (s). Determine the amplitude of the total rotational
response in degrees at t= 0.1 s. given zero initial conditions. Note: the mass moment of inertia of rigid bar about pivot point is J= m(a+b). Note: Assume that clockwise
is the positive direction.
2.14 degrees
-0.73 degrees
0.33 degrees
-0.41 degrees
-0.85 degrees
K₂
b
a
M
►F(t)
Rigid bar
K₁
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