COSMOS: Complete Online Solutions Manual Organization System
Chapter 4, Solution 34.
Free-Body Diagram:
For both parts (a) and (b)
ΣM D = 0:
− RP − RC x = 0
Cx = −P
B cosθ − P = 0
ΣFx = 0:
P
cosθ
B =
ΣFy = 0:
(1)
P
Cy −
cosθ
(2)
sin θ + P = 0
C y = P ( tanθ − 1)
(3)
(a) The magnitude of the reaction at C:
C =
C x2 + C y2
C =
( −P )2 + P ( tan θ
− 1)
2
which is smallest when tan θ = 1 , or
θ = 45.0°
(b) Using (2)
B=
P
cos 45°
or B = 2P
45.0o
and
C x = − P,
Cy = 0
or C = P
COSMOS Chapter 4 Solution 34
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