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ipn [44]
2 years ago
9

Two forces of 83 pounds and 56 pounds act simultaneously on an object. The resultant forms an angle of 52° with the 56-pound for

ce. Find the angle formed between the two original forces, to the nearest 10th of a degree.

Physics
1 answer:
Nikitich [7]2 years ago
3 0

Answer:

95.9°

Explanation:

The diagram illustrating the action of the two forces on the object is given in the attached photo.

Using sine rule a/SineA = b/SineB, we can obtain the value of B° as shown in the attached photo as follow:

a/SineA = b/SineB,

83/Sine52 = 56/SineB

Cross multiply to express in linear form

83 x SineB = 56 x Sine52

Divide both side by 83

SineB = (56 x Sine52)/83

SineB = 0.5317

B = Sine^-1(0.5317)

B = 32.1°

Now, we can obtain the angle θ, between the two forces as shown in the attached photo as follow:

52° + B° + θ = 180° ( sum of angles in a triangle)

52° + 32.1° + θ = 180°

Collect like terms

θ = 180° - 52° - 32.1°

θ = 95.9°

Therefore, the angle between the two forces is 95.9°

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Answer:

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Explanation:

Given that,

Area = 352 cm²

Side of each square cutting from corner = 2 cm

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Let the two sides are x and y.

The area of the rectangular piece is

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y=\dfrac{352}{x} -------- (1)

The volume of the rectangular piece

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x^2-38x+352=0

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Put the value of x in the equation (I)

For x = 16

y=\dfrac{352}{16}=22

For x = 22

y=\dfrac{352}{22}=16

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