Given: P = 35 kN; θ = 15°; α = 75°What is the b-component (kN) of P.QUESTION 4ANSWERA.20.59B.10.59C.31.38D.9.38
Question
Given: P = 35 kN; θ = 15°; α = 75°What is the b-component (kN) of P.QUESTION 4ANSWERA.20.59B.10.59C.31.38D.9.38
Solution
The b-component of a force can be calculated using the formula:
Pb = P * sin(θ)
Given that P = 35 kN and θ = 15°, we can substitute these values into the formula:
Pb = 35 * sin(15°)
First, we need to convert the angle from degrees to radians because the sin function in most programming languages and calculators uses radians, not degrees.
1 degree = 0.0174533 radians
So, 15° = 15 * 0.0174533 = 0.261799 radians
Now, we can calculate Pb:
Pb = 35 * sin(0.261799)
This gives us Pb = 9.38 kN
So, the correct answer is D. 9.38 kN.
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