Suppose you are a team-member working on a great project for some estate: beside the houses there will be some design elements: a family-relaxation-corner, a small garden, a small playground for kids, etc.
1. One of decorative elements which will be in the family-relaxation-corner will be a motionless "hanging flat stone" in a frame as illustrated below:
This hanging stone is held by 2 separated ropes and each rope presents tension (pulling the stone) force $F_i$ ($i = 1, 2$).
Hint: you must remember that this stone (with mass $m$) also presents its weight $w$.
a) Knowing that the mass of hanging stone equals 500 [kg], gravity of acceleration ($|g| = 10 [\frac{m}{s^2}])$, find the magnitude and direction of weight [N] of the stone:
Your work:
mass = 500 kg
gravity of acceleration = $|g| = 10 \frac{m}{s^2}$
magnitude:?
direction of weight = ?
b) Knowing that the stone is motionless, write a Free Body Diagram Equation for the illustration above writing/listing (via addition of their vector-symbols) all forces which act (participate in the described design) on the stone:
Hint: 1st condition for Equilibrium!!!, Newton's 2nd Law of Motion. Also: the stone is hanging, not placed/located on any surface.
Your work: