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Where is our center of mass normally?
Little higher than 50% of our height
Newtons 3rd Law
Law of action-reaction; every force has an equal and opposite force
GRF
the force of the ground pushing back up on you
Static equilibrium
Sum of forces = 0
Statics
Object at rest OR moving at a constant velocity
Dynamics
Objects in accelerated motion
Kinetics
Motion with the associated forces; force, impulse, gravity, etc.
Kinematics
Motion without the associated forces; speed, time, distance, etc.
Pressure equation
P=F/A
Pressure
Force per unit area; N/m² or Pascal (Pa)
Center of pressure
Point of force application
Normal force
Perpendicular to the two objects in contact
Parallel
Friction force is one
Magnitude
Product of the coefficient of friction and the normal ground reaction force (R)
Net (resultant) force
derived from the vector composition of all the acting forces; determines the net effect of all acting forces on a body; sum of all external forces acting on one object
Vector composition
Process of determining a single vector for two or more vectors by vector addition
Vector resolution
An operation that replaces a single vector with two perpendicular vectors such that the vector composition of the two perpendicular vectors yields the original vector
Newton’s 1st law
Law of inertia; an object in motion stays in motion
Inertia
Resistance of an object to changing motion
Momentum
Quantity of motion possessed by a body; measured as the product of a body’s mass and its velocity (M = mv)
Principle of conservation of momentum
In the absence of external forces, the total momentum of a given system remains constant; M1 = M2
Conservation of momentum
If velocity of one object in the system increases, velocity of another object decreased to conserve momentum
Impact
A collision characterized by the exchange of a large force during a small time interval
What happened during impact?
Described by the coefficient of restitution; serves as an index of elasticity for colliding bodies (e)
Coefficient of restitution (e)
Velocity of separation/velocity of approach
Velocity of separation
Difference between the post impact velocities of two colliding objects
Velocity of approach
Difference between the pre impact velocities of two colliding objects
Perfectly elastic impact
Speed of system conserved; e = 1
Perfectly plastic impact
Total loss of system speed; e = 0
Acceleration
the rate of change in velocity; a = change in velocity/time
Projectile
a body in free fall that is subject only to gravity and air resistance
Newton’s 2nd Law
law of acceleration; F = ma
Impulse
The product of a force and the time interval over which the force acts; causes change in momentum because it changes velocity
Projection speed
the magnitude of projetion velocity
instantaneous velocity
determines the ultimate horizontal displacement of the shot
relative projection height
the difference between projection height and landin height
Factors influencing projectile trajectory
projection speed, relative projection height, projection angle
1 radian
The angular distance covered when the arc length equals the radius; 57.3 degrees
Angular displacement
A change in angular position; the angle between final and initial angular position
Angular distance
Sum of all angular changes
Angular speed
Angular distance/time
Angular velocity
Rate of change in angular position; w