Question

If the 4 forces are shown in equilibrium express f1 vector and f2 vector

Answer 1

Answer:

F1=6.64N ; F3=1.72N

Explanation:

If the forces are in equilibrium, that means their resultant (all the forces added) is zero. That means:

The total of all the x components is zero (some are positive, some are negative).

The total of all the y components is zero (some are positive, some are negative).

I think your forces are:

10N points at 30⁰ anticlockwise from the +x axis.

F1 points at 30⁰ clockwise from the +y axis.

15N points at 37⁰ anticlockwise from the -x axis

F2 points along the -y axis.

Check I have these correct!

x components must add to give zero:

10cos(30⁰) + F1sin(30⁰) - 15cos(37⁰) + 0 = 0

8.66 + 0.5F1 - 11.98 = 0

F1 = 6.64N

y components must add to give zero:

10sin(30⁰) + F1cos(30⁰) - 15sin(37⁰) - F2 = 0

5 + (6.64x0.866) - 9.03 - F2 = 0

F2 = 1.72N