Linear Kinetics Flashcards
(36 cards)
Linear Kinetic
Study of the forces associated with linear motion
Law of Gravitation
All bodies are attracted to one another with a force:
- Proportional to the product of their masses
- Inversely proportional to the distance between them
Newton’s 1st Law
- Law of Inertia
- An object in motion or at rest will remain so unless acted on by a sufficient external force
Newton’s 2nd Law
- Law of acceleration
- A force applied to a body causes an acceleration of that body
- F = ma
Newton’s 3rd Law
- Law of Reaction
- For every action, there is an equal and opposite reaction
Normal Reaction Force
Force acting perpendicular to 2 surfaces in contact
Orthogonal
2 surfaces are perpendicular to each other
Friction
A force that acts at the area of contact between 2 surfaces in the opposite direction of motion
Static Friction
- Force acting over the area of contact between 2 surfaces
- Increases as the opposing force increases, but motion does not occur
Maximum Static Friction
- Max amount of friction that can occur between 2 stationary surfaces in contact
Kinetic Friction
- Constant magnitude friction generated between 2 surfaces in contact during motion
- Always less than max static friction
Coefficient of Friction
- μ (mu)
- Unitless # indicating the relative ease of sliding or the amount of mechanical and molecular interaction between 2 surfaces in contact
Static Friction Equation
F(s) = μ(s)R
Maximum Static Friction Equation
F(m) = μ(m)R
Kinetic Friction Equation
F(k) = μ(k)R
Rolling Friction
- Friction between a rolling object and the surface on which it rolls
- Lower than sliding friction
Linear Momentum
- The quantity of motion a moving body possesses
- M = mv
Principle of Conservation of Momentum
In the absence of external forces, the total momentum of a given system remains constant
Impulse
- Product of force and the time over which the force acts
- Change in momentum
- Impulse = Ft
Impact/Collision
A collision between 2 bodies characterized by the exchange of a large force during a small time interval
Perfectly Elastic Collision
- Collision during which the velocity of the system is conserved
- Ball will bounce to the drop height
Perfectly Plastic Collision
- Impact resulting in the total loss of system velocity
- Object will not bounce at all
Coefficient of Restitution
- Unitless number that serves as an index of elasticity for colliding bodies
- 0 = plastic
- 1 = elastic
Coefficient of Restitution Equations
-e = (v1 - v2)/(u1 - u2)
- v = relative velocity after impact
- u = relative velocity before impact
e^2 = h(b)/h(d)
- h(b) = bounce height
- h(d) = drop height