ABCD is a uniform flat rectangular plate with a weight of P = 1000N. The plate is mounted on the wall by a ball-and-socket joint at A, a hinge at B, and a cable CE. Assume the hinge at B cannot provide axial reactions.
(1) Make reasonable assumptions to make this a statically determinate system.
(2) Prove that tension TcE = 1000N for any angle α. (Hint: Watch video 5.2.)
(3) When angle α = 30°, calculate the reactions at A and B.
Z
E
B .. y 30%
c
X D