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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 = 3 kN/m and K₂ = 9 kN/m respectively. The mass is connected to a damper with damping constant C= 10 N.s/kg and forced by a dynamic loading F = Fo cos(nt) where the magnitude of the load is Fo= 50 N, the driving frequency is = 34 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)². Note: Assume that clockwise is the positive direction.

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 = 3 kN/m and K₂ = 9 kN/m respectively. The mass is connected to a damper with damping constant C= 10 N.s/kg and forced by a dynamic loading F = Fo cos(nt) where the magnitude of the load is Fo= 50 N, the driving frequency is = 34 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)². Note: Assume that clockwise is the positive direction.

Elements Of Electromagnetics
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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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 = 3 kN/m and K₂ = 9 kN/m respectively. The mass is connected to a damper with damping constant C = 10 N.s/kg and forced by a dynamic loading F = Fo cos(t) where the magnitude of the load is Fo = 50 N, the driving frequency is = 34 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)². Note: Assume that clockwise is the positive direction. 0 0 0 0 0 0.33 degrees -0.73 degrees -0.85 degrees -0.41 degrees 2.14 degrees C K₂ b α M A →F(t) Rigid bar K₁ www
Transcribed Image Text: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 = 3 kN/m and K₂ = 9 kN/m respectively. The mass is connected to a damper with damping constant C = 10 N.s/kg and forced by a dynamic loading F = Fo cos(t) where the magnitude of the load is Fo = 50 N, the driving frequency is = 34 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)². Note: Assume that clockwise is the positive direction. 0 0 0 0 0 0.33 degrees -0.73 degrees -0.85 degrees -0.41 degrees 2.14 degrees C K₂ b α M A →F(t) Rigid bar K₁ www
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