Question

Find the component of a 50N force which makes an angle of 45° with z-axis and whose projection in XY plane makes 45° with z-axis

Answer 1

Answer:

The component of a 50N force which makes an angle of 45° with z-axis and whose projection in XY plane makes 45° with z-axis is 35.35 N

Explanation:

Now the force is making an angle of 45 degree with z-axis and the projection of the force is also making an angle of 45 degree with the projection.

So the component of a 50 N force = 50 cos(45) = 50*0.707= 35.35 N

Answer 2

We know,

A force is making an angle  $45\°$ with the z-axis and the projection of the force in the XY plane is also making an angle  $45\°$ with the projection.

So the component of a 50 N force $=50\times cos(45\°)=50\times \frac{1}{\sqrt{2}}=25\sqrt{2}$

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