Question

question 19
(problem reference m.2) two force vectors are shown in the figure. the magnitudes of the forces are ( a = 100 , \text{n} ) and ( b = 125 , \text{n} ).
what is the y - component of the vector ( vec{a} )?
( 57.4 , \text{n} )
( -57.4 , \text{n} )
( 52.8 , \text{n} )
( 113 , \text{n} )
( 81.9 , \text{n} )

Explanation:

Step1: Recall the formula for the y - component of a vector

The formula for the y - component of a vector \(\vec{A}\) is \(A_y = A\cos\theta\), where \(A\) is the magnitude of the vector and \(\theta\) is the angle between the vector and the y - axis.

Step2: Identify the values of \(A\) and \(\theta\)

Given \(A = 100\space N\) and \(\theta=35.0^{\circ}\)

Step3: Calculate the y - component

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Answer:

81.9 N