Take P

$=840$ lb

$.($Figure $1)$

Figure$1$ of $1$

A frame consists of three straight members. A member $\text{'}$A$\text{'}$ B D extends $6$ feet vertically upward from $\text{'}$A$\text{'}$ to D$.$ It rests against a roller on a vertical surface at $\text{'}$A$\text{'}$ and is pin connected to the same surface at D$.$ A member E C D extends downward and to the left from pin D to end E located $6$ feet to the left of $\text{'}$A$\text{'}.$ A member B C extends upward and to the left from point B of the member $\text{'}$A$\text{'}$ B D located $3$ feet from both $\text{'}$A$\text{'}$ and D to point C of the member E C D located $2$ feet below and $2$ feet to the left of D$.$ A load P acts on the frame at E and is directed horizontally to the right. The x y plane is shown. The positive x axis is directed to the right, and the positive y axis is directed upward.

Part A

Determine the horizontal and vertical components of force that the pin at B

exert on member ABD

of the frame.