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A rotational mechanical system is shown in figure below. (a)   Construct the free-body diagrams. Properly indicate and label all torques that exist in the system. (b)   From the free-body diagrams in (a), formulate the transfer function, : G(s) = θ^2(s) / T(s) (c)   Determine θ^2(s) if T(s) is ramp input.

A rotational mechanical system is shown in figure below. (a)   Construct the free-body diagrams. Properly indicate and label all torques that exist in the system. (b)   From the free-body diagrams in (a), formulate the transfer function, : G(s) = θ^2(s) / T(s) (c)   Determine θ^2(s) if T(s) is ramp input.

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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A rotational mechanical system is shown in figure below.

(a)   Construct the free-body diagrams. Properly indicate and label all torques that exist in the system.

(b)   From the free-body diagrams in (a), formulate the transfer function, : G(s) = θ^2(s) / T(s)

(c)   Determine θ^2(s) if T(s) is ramp input.

(a) Free body diagram (FBD) Note : Type CCW for Counter Clock Wise, CW for Clock Wise and NONE if the torque is not available Free Body Diagram on J1 Free Body Diagram on Node(02(t)) T(t) : T(t) : T1,9, T1,0 T1,9 T1: TK19, TK20, T30,: TK2 T13 T3 T3 Th2 T20: TR3.0,: (b) Laplace function for Moment Inertia 1 (0,(s)) 82 + s+ s2 + s+ 02(s)= T(s) Laplace function for (02(s)) s2 + s2 + ]02(s)= 8+ T(s) 0,(s) in function of 02(8) Note : write s^2 for e2: (a+b)/(c+d) for TU, theta1(s) for 0,(s); theta2(s) for 02(s). Do not put any space in your c+d answer. O(s) Transfer Function T(s)
Transcribed Image Text:(a) Free body diagram (FBD) Note : Type CCW for Counter Clock Wise, CW for Clock Wise and NONE if the torque is not available Free Body Diagram on J1 Free Body Diagram on Node(02(t)) T(t) : T(t) : T1,9, T1,0 T1,9 T1: TK19, TK20, T30,: TK2 T13 T3 T3 Th2 T20: TR3.0,: (b) Laplace function for Moment Inertia 1 (0,(s)) 82 + s+ s2 + s+ 02(s)= T(s) Laplace function for (02(s)) s2 + s2 + ]02(s)= 8+ T(s) 0,(s) in function of 02(8) Note : write s^2 for e2: (a+b)/(c+d) for TU, theta1(s) for 0,(s); theta2(s) for 02(s). Do not put any space in your c+d answer. O(s) Transfer Function T(s)
K2 = 4 Nm/rad T(t) 02(t) K3 = 5 Nm/rad J1 4 kgm? K4 = 4 Nm./rad fv3 = 5 Nms/rad Looking to this direction Note : T(t) and 02(t) direction is entering your screen %3D fv2 = 3 Nms/rad fv1 K1 1Nms/rad 3 Nm/rad
Transcribed Image Text:K2 = 4 Nm/rad T(t) 02(t) K3 = 5 Nm/rad J1 4 kgm? K4 = 4 Nm./rad fv3 = 5 Nms/rad Looking to this direction Note : T(t) and 02(t) direction is entering your screen %3D fv2 = 3 Nms/rad fv1 K1 1Nms/rad 3 Nm/rad
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