Find trusted answers to your questions with the help of IDNLearn.com's knowledgeable community. Ask any question and receive comprehensive, well-informed responses from our dedicated team of experts.
Sagot :
1) draw a diagram.
2) label diagram. (split the 100 degrees into 50, (which is right down the middle) to make a right angle triangle.)
3) since its a free body diagram, the forces known must be labelled. (force of gravity). this shows that the straight vertical line of the right angle triangle is Fg (force gravity). label it.
4) use trigonometry. rearrange the equation to solve for what needs to be known.
angles known: 50 (split 100 in half to make a right angle triangle), 90 (since its right angle), and 40 (180-90-50 = 40)
sides known: vertical lined up with the 90 degree angle. Fg. --> fg=mg=500N x 9.81m/s^2 = 4905N
use formula: sin or cos
i used sin. sin(40) = 4905 / ?
- times '?' on both sides. : sin(40) x '?' = 4905
-divide both sides by sin(40): '?' = 4905/ sin(40)
--> Solve.
2) label diagram. (split the 100 degrees into 50, (which is right down the middle) to make a right angle triangle.)
3) since its a free body diagram, the forces known must be labelled. (force of gravity). this shows that the straight vertical line of the right angle triangle is Fg (force gravity). label it.
4) use trigonometry. rearrange the equation to solve for what needs to be known.
angles known: 50 (split 100 in half to make a right angle triangle), 90 (since its right angle), and 40 (180-90-50 = 40)
sides known: vertical lined up with the 90 degree angle. Fg. --> fg=mg=500N x 9.81m/s^2 = 4905N
use formula: sin or cos
i used sin. sin(40) = 4905 / ?
- times '?' on both sides. : sin(40) x '?' = 4905
-divide both sides by sin(40): '?' = 4905/ sin(40)
--> Solve.
The force each wire exert will be "390.62 N".
The given values are:
Weight,
- mg = 500 N
Angle,
- θ = 100°
As we know,
The sum of vertical forces = 0
then,
→ [tex]\Sigma Fy = 0[/tex]
Now,
→ [tex]F Cos (50) +F Cos (50) = mg[/tex]
By substituting the value, we get
→ [tex]2F Cos (50) = 500[/tex]
→ [tex]F = \frac{500}{2 Cos (50)}[/tex]
→ [tex]= \frac{500}{2(0.64)}[/tex]
→ [tex]= 390.62 \ N[/tex]
Learn more:
https://brainly.com/question/6666347
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.