The figure below shows a landing gear mechanism for a light aircraft. The weight of the wheel is estimated approximately as 100 lb. Thus it is required to implement a motor capable to lift this weight during the retraction and extraction. The radius of gyration has been determined experimentally as 1.2 feet. In order to achieve a safe operation, a motor is selected adequately with an angular velocity of 3 rad/s, and an angular acceleration of 10 rad/s. It should be noted that such motor will be connected to the shortest link causing a counter clock wise rotation for the input link. Determine the following: a) Determine the closure loop equations. b) Determine the coefficients of the implicit function given as: Acose, + Bsine, +C=0 d) Derive an expression for the angular displacement of the coupler, and find its value. e) Derive an expression for the transmission angle and find its value. f) Determine the output angle. g) Using the closure equation find the velocity of point B h) Using the closure equation find the acceleration of point B 2.0- 1.77 0.75 30° 3.0 2.33' 3,0

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The figure below shows a landing gear mechanism for a light aircraft. The weight of the wheel is
estimated approximately as 100 lb. Thus it is required to implement a motor capable to lift this
weight during the retraction and extraction. The radius of gyration has been determined
experimentally as 1.2 feet. In order to achieve a safe operation, a motor is selected adequately with
an angular velocity of 3 rad/s, and an angular acceleration of 10 rad/s. It should be noted that such
motor will be connected to the shortest link causing a counter clock wise rotation for the input link.
Determine the following:
a) Determine the closure loop equations.
b) Determine the coefficients of the implicit function given as:
Acos0, + Bsin0, +C=0
d) Derive an expression for the angular displacement of the coupler, and find its value.
e) Derive an expression for the transmission angle and find its value.
f) Determine the output angle.
g) Using the closure equation find the velocity of point B
h) Using the closure equation find the acceleration of point B
2.0
1.77
0.75
30°
-3.0%
2.33'
B
3.0
Transcribed Image Text:The figure below shows a landing gear mechanism for a light aircraft. The weight of the wheel is estimated approximately as 100 lb. Thus it is required to implement a motor capable to lift this weight during the retraction and extraction. The radius of gyration has been determined experimentally as 1.2 feet. In order to achieve a safe operation, a motor is selected adequately with an angular velocity of 3 rad/s, and an angular acceleration of 10 rad/s. It should be noted that such motor will be connected to the shortest link causing a counter clock wise rotation for the input link. Determine the following: a) Determine the closure loop equations. b) Determine the coefficients of the implicit function given as: Acos0, + Bsin0, +C=0 d) Derive an expression for the angular displacement of the coupler, and find its value. e) Derive an expression for the transmission angle and find its value. f) Determine the output angle. g) Using the closure equation find the velocity of point B h) Using the closure equation find the acceleration of point B 2.0 1.77 0.75 30° -3.0% 2.33' B 3.0
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