Answer:
A.
Step-by-step explanation:
y = mx + b
y = -2/3 x + b
(x, y) = (3, 0)
0 = -2/3 (3) + b
0 = -2 + b
b = 2
y = -2/3 x + 2
Answer: A.
Answer:
Magnitude: 121.35 pounds
Direction: 21.64°
Explanation:
1) Decompose each force into its x - y components.
2) Force 1, F1: 140 pounds at angle of 30°
x-component: F1,x
F1, x = F1 *cos(30°) = 140 pounds * cos(30°) = 121.24 pounds
y-component: F1,y
F1,y = F1 * sin(30°) = 140 pounds * sin(30°) = 70 pounds.
3) Force 2, F2: 75 poounds at 150°
x-component: F2,x
F2,x = F2 * cos(150°) = 75 pounds * cos(150°) = - 64.95 pounds
y-component: F2,y
F2,y = F2 * sin(150°) = 75 pounds * sin(150°) = 37.5 pounds
4) Resultant Force, Fr
x-component: Fr,x
Fr,x = F1,x + F2,x = 121.24 pounds - 64.95 pounds = 56.29 pounds
y-component: Fr,y
Fr,y = F1,y + F2,y = 70 pounds + 37.5 pounds = 107.5 pounds
4.1) magnitude
|Fr| = √ [ (56.29 pouns)^2 + (107.5 pounds)^2 ] = 121.35 pounds.
4.2) direction
tan(α) = Fr,y / Fr,3 = 56.29 pounds / 107.5 pouns = 0.5236
=> α = arctan(0.5236) = 27.64 °
Answer:
Everything is correct except for the very last one which should be "irrational."
For this simply find out which each equals
For the 4th one, it is 0.008
Therefore which do you think is the greatest? Hope this helps!
