Answer:
(M)_a = -8171 lb-ft
Step-by-step explanation:
Step 1:
- We will first mark each weight from left most to right most.
Point: Weight: Moment arm r_a
G_3 W_g3 = 169 30*Cos(75) + 4.25
G_2 W_g2 = 220 30*Cos(75) + 2.5
G_1 W_g1 = 1500 10*cos(75)
Step 2:
- Set up a sum of moments about pivot point A, the expression would be as follows:
(M)_a = -W_g3*(30cos(75) + 4.25) - W_g2*(30*Cos(75) + 2.5) - W_g1*10*cos(75)
Step 3:
- Plug in the values and solve for (M)_b, as follows:
(M)_a = -169*(30cos(75) + 4.25) - 220*(30*Cos(75) + 2.5) - 1500*10*cos(75)
(M)_a = -2030.462559 -2258.205698 - 3882.285677
(M)_a = -8171 lb-ft
Answer: x=32.42707 degrees
or x=0.56672
Step-by-step explanation:
If you have your points (3,4) (1,2) x=3 and 1 and y=4 and 2 so find a point on the x or y line and go up and over till your line crosses another point and that will give you your slope
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