3. A uniform, 200-kg plate is kept in static equilibrium by two hinges, A and B, and a single cable, DCE. a) Draw the FBD of the plate. b) Write the coordinates of each named point in the figure (A, B, etc.) and any additional point where a force or moment is acting. c) Is this system statically determinate? Explain your answer. d) Is this system completely (i.e., properly) constrained? Explain your answer. e) Assume the hinges are properly aligned and do not exert any reaction moments on the plate. Determine the tension force on the cable DCE for this plate to stay in static equilibrium. (Hint: when a rigid body is in static equilibrium, the resultant moment about any point or line has to be equal to zero. Could you find a line that gets rid of your other unknowns?) 50 cm D 90 mm 90 cm 30 cm 120 cm B 90 mm 80 cm

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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3. A uniform, 200-kg plate is kept in static equilibrium by two hinges, A and B, and a single
cable, DCE.
a) Draw the FBD of the plate.
b) Write the coordinates of each named point in the figure (A, B, etc.) and any additional
point where a force or moment is acting.
c) Is this system statically determinate? Explain your answer.
d) Is this system completely (i.e., properly) constrained? Explain your answer.
e) Assume the hinges are properly aligned and do not exert any reaction moments on the
plate. Determine the tension force on the cable DCE for this plate to stay in static
equilibrium. (Hint: when a rigid body is in static equilibrium, the resultant moment about
any point or line has to be equal to zero. Could you find a line that gets rid of your other
unknowns?)
50 cm
D
90 mm
90 cm
с
30 cm
120 cm
B
90 mm
E.
80 cm
x
Transcribed Image Text:3. A uniform, 200-kg plate is kept in static equilibrium by two hinges, A and B, and a single cable, DCE. a) Draw the FBD of the plate. b) Write the coordinates of each named point in the figure (A, B, etc.) and any additional point where a force or moment is acting. c) Is this system statically determinate? Explain your answer. d) Is this system completely (i.e., properly) constrained? Explain your answer. e) Assume the hinges are properly aligned and do not exert any reaction moments on the plate. Determine the tension force on the cable DCE for this plate to stay in static equilibrium. (Hint: when a rigid body is in static equilibrium, the resultant moment about any point or line has to be equal to zero. Could you find a line that gets rid of your other unknowns?) 50 cm D 90 mm 90 cm с 30 cm 120 cm B 90 mm E. 80 cm x
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