Newton's Laws
Interactions among things or matters occur by forces. Forces cause motion and influence the basic kinematics of objects and they are important to study mechanics.
Newton is the father of classical mechanics and has stated 3 laws dealing with forces:

  1. F = ma (m = mass, a = acceleration)
  2. For every force, there MUST also be an equal and opposite force
  3. All objects have inertia; that is, an object will remain at rest or in uniform motion unless acted upon by some outside force

When solving problems involving force, a force diagram is drawn on the object which forces are acted upon. Then to compute the resulting acceleration, these forces are combined accordingly calculating the y-components and x-components of the vectors. Or to find the original force which resulted in acceleration of some object, the equation is simply manipulated to fit the situation.


Now we compute to find out the resulting accelerations of objects Box-
SFx: Nc = Max
SFy: Nt - Mg = May
ax = Nc/M
ay = 0 (Nt = Mg, Newton 2nd Law)
-Ball-
SFx: Nb = max
SFy: Nt - mg = may
ax = Nc/m = Nc/m (Nt=mg, Newton 2nd Law)
ay = 0 (Nt = mg, Newton 2nd Law)                            
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