Vector Mechanics: Understanding Force Direction and Components

Question 21

A force Q of magnitude 450N is directed from C(-3,4,0) to D(1,5,3). Determine the y-component of Q.

A) 85.28 B) 25.88 C) 264.76 D) 535 E) 353 F) 426.76 G) 8258 H) 88.25

Answer

The y-component of force Q is 450N.

When determining the y-component of a force vector, it is crucial to take the magnitude of the force into account. In this case, the magnitude of force Q is 450N. Therefore, the y-component of force Q would simply be the magnitude multiplied by the y-component of the direction vector, resulting in 450N.

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