(3) The uniform rectangular plate is supported by two hinges at A and B and held in the horizontal position by cable EF as shown. The weight of the plate is 750 lb and a 300 lb force is applied at corner D of the plate. Determine (a) the tension T in cable EF, (b) the magnitude of the reaction force normal to the hinge axis at hinge B. Ans: (a) T 495 lb (b) B = 304 lb 300 lb 4 in. 30 in. 8 in. B 4 in. 25 in. 20 in. x

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.4: Applications
Problem 9EQ
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(3) The uniform rectangular plate is
supported by two hinges at A and B and held
in the horizontal position by cable EF as
shown. The weight of the plate is 750 lb and
a 300 lb force is applied at corner D of the
plate. Determine (a) the tension T in cable
EF, (b) the magnitude of the reaction force
normal to the hinge axis at hinge B.
Ans: (a) T 495 lb (b) B = 304 lb
300 lb
4 in.
30 in.
8 in.
B
4 in. 25 in.
20 in.
x
Transcribed Image Text:(3) The uniform rectangular plate is supported by two hinges at A and B and held in the horizontal position by cable EF as shown. The weight of the plate is 750 lb and a 300 lb force is applied at corner D of the plate. Determine (a) the tension T in cable EF, (b) the magnitude of the reaction force normal to the hinge axis at hinge B. Ans: (a) T 495 lb (b) B = 304 lb 300 lb 4 in. 30 in. 8 in. B 4 in. 25 in. 20 in. x
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