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IgorLugansk [536]
1 year ago
12

The measures of the angles between the resultant and two applied forces are 26° and

Mathematics
1 answer:
erma4kov [3.2K]1 year ago
6 0

Answer:

  48.8 lbs

Step-by-step explanation:

The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:

  a/sin(A) = c/sin(C)

  x/sin(26°) = 80/sin(134°)

  x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds

The larger component force is about 48.8 pounds.

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Two cables support a 800​-lb ​weight, as shown. Find the tension in each cable.
jeka94

Answer:

  • 892 lb (right)
  • 653 lb (left)

Step-by-step explanation:

The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...

  Rcos(45°) +Lcos(75°) = 800

  Rsin(45°) -Lsin(75°) = 0

Solving these equations by Cramer's Rule, we get ...

  R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))

     = 800sin(75°)/sin(120°) ≈ 892 . . . pounds

  L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds

The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.

_____

This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...

  (right, left) = w/sin(α+β)×(sin(β), sin(α))

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2 years ago
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raketka [301]

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Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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The answer is 56.8
explaination:14.2 x4
56.8
he needs five units he already have 1 unit
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3 years ago
A constant force of 15 N is being applied at a constant angle os 30 degree on an object at the same time that a constant force o
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Step-by-step explanation:

Solution:

(a) is the vertical direction, the force of gravity

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rd, as shown:

w = Mg = (20.0kg 9.8m s3 - 196N

N- 196N as well

(b) In the horizontal direction, in the absence of

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6 0
3 years ago
3√16-5=<br><br><br> please help asap
IRISSAK [1]

Answer:

\large\boxed{3\sqrt{16}-5=7}

Step-by-step explanation:

3\sqrt{16}-5=3(4)-5=12-5=7\\\\\sqrt{16}=4\ \text{because}\ 4^2=16

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3 years ago
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