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MOTION ANALYSIS - NEWTON'S LAWS OF MOTION (INERTIA) - PART II

Updated: Oct 23, 2023

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Newton's Laws of motion by Dr. Saghiv

Newton's second law creates the connection between applied forces, an object's mass, and the acceleration of the object as a result. Thus, Newton's second law of motion deals with the creation of movement, represented by its acceleration.


According to Newton's second law of motion F = ma where F represents the applied force or forces, m represents the object's mass, and a represents the object's acceleration. The average acceleration equals the object's final velocity (Vfinal) minus the object's starting velocity (Vstarting), divided by the time (t) that has elapsed from the measurement of the starting velocity until the final velocity. The equation for acceleration is a = (Vfinal - Vstarting)/t.


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The equation for acceleration allows us to define acceleration as the change in the object's velocity compared to the change in time. The word "change" can represent an increase or a decrease in what is being measured. We use the symbol ∆ to represent an increase or decrease (change). Thus, acceleration can also be represented by the equation a = ∆V/∆t.


Newton's second law of motion can be applied to an object that is not in motion as much as it can be applied to an object in motion. If the object was completely motionless before movement occurred, then Vstarting is plugged in a zero. If the object was already in motion before acceleration occurred, then Vstarting is plugged in as a value greater than zero.


The basic assumption behind Newton's second law of motion is that within the timeframe of the application of the force onto the object, its mass did not change, thus any change in the object's acceleration originates from the application of the force. Accordingly, any change in the velocity of the object is caused only by the applied force.


In our body, skeletal muscles apply their force onto a tendon by pulling on the tendon, since the tendon is connected on the other side to a bone (as part of the human skeleton), the bone moves. Assuming that the bone's mass did not change from the time that the force was generated or applied by the skeletal muscle, then the movement of the bone is caused by the force of the bone.


To complete the explanation above, tendons are structured as straight lines, perfectly designed to lose as little force as possible, as the force travels through them on the way to the bone. They transmit the force of the skeletal muscle efficiently to the bone. Since we are applying Newton's laws of motion to the analysis of human motion, the explanation above covers the majority of how movement is created in the human body, by the application Newton's second law of motion.


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