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
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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Question
A rotational
(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)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F042f92fe-9fb1-408e-bc3d-b417841a12d4%2Faf1bae8a-63f0-4c5d-96cd-75ddfa78f3e3%2Fxnrs2av_processed.jpeg&w=3840&q=75)
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)
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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