Respuesta :
The equation of motion states that the force of the body is the product of mass and acceleration. The acceleration spool angle of the reel is 0.51 m/s².
What are static and dynamic friction?
Static friction is the force present between two objects when they are not in motion and the dynamic frictional force is the kinetic force that opposes the force present when objects are in motion.
The horizontal force is calculated from the equation of motion as:
F = ma
P + f = ma
50 + f = 100a
The vertical force is calculated from the equation of motion as:
N = mg
= 100 × 9.81
= 981 N
Moments are calculated as:
∑ Mg = Ig ∝
-f (0.4) + P (0.250) = 100 × 0.3² ∝
-f (0.4) + 50(0.250) = 100 × 0.3² ∝
If it is assumed that the object is just rolling and not slipping then,
a = r₂ ∝
= 0.4 ∝
∝= 1.27 rad /s²
Friction for rolling is calculated as:
f = -(100 × 0.3 ×0.3 × 1.27) + (50 ×0.250) ÷ 0.4
= 2.675 N
The maximum amount of friction that will be available is calculated as:
F max = μ N
= 0.2 × 981
= 196.2 N
From this, it can be said that the f required is less than the f maximum.
Acceleration is calculated as;
a = r ∝
= 0.4 × 1.27
= 0.51 m/s²
Therefore, the acceleration is 0.51 m/s².
Learn more about static friction here:
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