which are C esented by an angle Bo. Furthermore, the motion of the arm is symmetrical with respect to the line OA. Also assume that the time it takes for the arm to cover the angles between lines OA and OB, OB and OA, OA and OC, and OC and OA is approximately equal. If the period of the angular motion of the arm is t = 3.5 s and the angle 80 = 750: (a) Derive expressions for the angular displacement & angular velocity and angular acceleration a of

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b) determine the angular displacement, angular velocity, and angular acceleration of the arm at t1=0.5 s, t2 =1.0 s, and t3 = 1.25 s after the rotational motion began.
UA and OC, which are
represented by an angle 9o. Furthermore, the motion of the
C
arm is symmetrical with respect to the line OA. Also assume that the time it takes for the arm to cover
the angles between lines OA and OB, OB and OA, OA and OC, and OC and OA is approximately equal. If
the period of the angular motion of the arm is t= 3.5 s and the angle 90 = 75°:
(a) Derive expressions for the angular displacement 0, angular velocity w, and angular acceleration a of
Transcribed Image Text:UA and OC, which are represented by an angle 9o. Furthermore, the motion of the C arm is symmetrical with respect to the line OA. Also assume that the time it takes for the arm to cover the angles between lines OA and OB, OB and OA, OA and OC, and OC and OA is approximately equal. If the period of the angular motion of the arm is t= 3.5 s and the angle 90 = 75°: (a) Derive expressions for the angular displacement 0, angular velocity w, and angular acceleration a of
abduction in the frontal plane as shown in the figure. Point O
Consider a person doing shoulder
designates the axis of rotation of the shoulder joint in the
frontal plane. Line OA represents the position of the arm
when it is stretched out parallel to the horizontal. Line OB
represents the position of the arm when the hand is at its
highest elevation, and line OC represents the position of the
arm when the hand is closest to the body. For this activity,
lines OB and OC are the limits of ROM for the arms. For this
system, assume that the angle between lines OA and OB is
equal to the angle between lines OA and OC, which are
represented by an angle 0o. Furthermore, the motion of the
arm is symmetrical with respect to the line OA. Also assume that the time it takes for the arm to cover
the angles between lines OA and OB, OB and OA, OA and OC, and OC and OA is approximately equal. If
the period of the angular motion of the arm is t= 3.5 s and the angle 0o = 75⁰:
с
B
00
positive 8
+
negative 8
PA
Transcribed Image Text:abduction in the frontal plane as shown in the figure. Point O Consider a person doing shoulder designates the axis of rotation of the shoulder joint in the frontal plane. Line OA represents the position of the arm when it is stretched out parallel to the horizontal. Line OB represents the position of the arm when the hand is at its highest elevation, and line OC represents the position of the arm when the hand is closest to the body. For this activity, lines OB and OC are the limits of ROM for the arms. For this system, assume that the angle between lines OA and OB is equal to the angle between lines OA and OC, which are represented by an angle 0o. Furthermore, the motion of the arm is symmetrical with respect to the line OA. Also assume that the time it takes for the arm to cover the angles between lines OA and OB, OB and OA, OA and OC, and OC and OA is approximately equal. If the period of the angular motion of the arm is t= 3.5 s and the angle 0o = 75⁰: с B 00 positive 8 + negative 8 PA
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