Question

determine the angle and the magnitude of force f so that the resultant force acting on the post is directed vertically upward and has a magnitude of 750 n

Answer 1

Answer / Explanation:

To solve this question,

Let us recall the Sine Rule and assuming we have an angle of θ.

Then it states thus:

sin θ / 750

Therefore, Sin 30⁰/ 700

: θ / 750 = Sin 30⁰/ 700

θ = 36.87  

Now that we have θ, we can figure out ∅

Therefore,

∅ = 180°  − (30 °  + 36.87° )

Recalling that all interior angles in a triangle must add up to 180°

Therefore,

∅ = 113.13°

Now that we have both θ and ∅, we can go further to use the law of sines to find Fr.

Therefore,

Fr/Sin 113.13° = 700 / Sin 30 °

Fr = 919.61 Newton

Answer 2

Answer:

The force F = 318 and the angle 18.5°. The first thing to do is to resolve the forces into components along the x and y-axis and then equate it to Rx and Ry. R has no component along the x-axis since it is directed along the y-axis.

Explanation:

The detailed solution can be found in the attachment below. Thank you for reading.