5)
a. The equation that describes the forces which act in the x-direction:
<span> Fx = 200 * cos 30 </span>
<span>
b. The equation which describes the forces which act in the y-direction: </span>
<span> Fy = 200 * sin 30 </span>
<span>c. The x and y components of the force of tension: </span>
<span> Tx = Fx = 200 * cos 30 </span>
<span> Ty = Fy = 200 * sin 30 </span>
d.<span>Since desk does not budge, </span><span>frictional force = Fx
= 200 * cos 30 </span>
<span> Normal force </span><span>= 50 * g - Fy
= 50 g - 200 * sin 30
</span>____________________________________________________________
6)<span> Let F_net = 0</span>
a. The equation that describes the forces which act in the x-direction:
(200N)cos(30) - F_s = 0
b. The equation that describes the forces which act in the y-direction:
F_N - (200N)sin(30) - mg = 0
c. The values of friction and normal forces will be:
Friction force= (200N)cos(30),
The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N
Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
Answer:
24%
Step-by-step explanation:
there are 50 numbers total
number of 4's: 7
number of 7's: 5
it's asking for the odds of a 4 or a 7 meaning that they're fine with either one. that means you can ADD the number of them up!
7 + 5 = 12
to get the odds, we need to divide!
convert that into a percent!
24%
let me know if you're still confused :))
Answer:
give me a minute... if i dont find an answer i will delete my comment
Step-by-step explanation:
Answer:. B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
Step-by-step explanation:
Total rocks = 62
A. Have 4 cases of 2 rocks, and 9 cases of 11 rocks
(4 * 2) + (9 * 11) > 62 ( false)
B. Have 9 cases of 2 rocks, and 4 cases of 11 rocks
(9 * 2) + (4 * 11) = 18 + 44 = 62 rocks (true)
C. Have 9 cases of 2 rocks, and 1 case of 11 rocks
(9 * 2). + (1 * 11) < 62 ( false)
D. Have 1 case of 2 rocks, and 4 cases of 11 rocks.
(1 * 2) + (4 * 11) < 62
