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
50%
You have half of 6 so the percentage would be half of 100
So 9 more than 3 times a number, would be:
9+(3x)=-6
then you would solve
subtract 9 from 9 and 9 from -6
you get 3x=-15
divide by 3 on both sides
x=-5
your welcome!!!! :)
Answer:
f = 5/6
Step-by-step explanation:
5(4f + 3) - 2f
= 20f + 15 - 2f
= 18f + 15
18f = 15
f = 15/18
f = 5/6
