High School

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The bolt is subjected to the force \( F \), which has components acting along the \( x \), \( y \), and \( z \) axes as shown in Figure 1. The magnitude of \( F \) is 76 N, with angles \(\alpha = 56^\circ\) and \(\gamma = 46^\circ\).

What is the magnitude of the \( y \)-component of \( F \)?

a. \( 76 \cdot \sin(56^\circ) \)

b. \( 76 \cdot \cos(56^\circ) \)

c. \( 76 \cdot \sin(46^\circ) \)

d. \( 76 \cdot \cos(46^\circ) \)

Answer :

Final answer:

To find the magnitude of the y-component of the force, multiply the magnitude of the force (76 N) by the sine of the angle α (56°).

Explanation:

To find the magnitude of the y-component of the force, we need to multiply the magnitude of the force (76 N) by the sine of the angle α (56°).

Therefore, the magnitude of the y-component of the force is given by:

76 * sin(56°)

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