Chapter 1: Kinematics And Dynamics Flashcards
When adding vectors, always add
Tip to tail
if the angle is between V and the x component, theta =
Theta = X/V —> X = V cos (theta) Theta = Y/V —> Y = V sin (theta)
Dot product is A dot B =
|A| |B| cos (theta)
Cross product A * B =
|A| |B| sin (theta)
Instantaneous speed will always be equal to the
Magnitude of the objects instantaneous velocity
Average velocity =
Delta x / delta t
Units of Newton are
(kg * m) / s^2
Gravitational force between two objects is Fg =
(Gm1m2) / r^2
G is 6.6710^-11 (Nm) / kg^2
m1 and m2 are masses of two objects
r is the distance between centers of mass
Friction is a type of force that
Opposes the movement of objects
Static friction (fs) exists between a
Stationary object and the surface upon which it rests
Kinetic friction (fk) exists between a
Sliding object and the surface over which the object slides
fk =
uk*N
uk is coefficient of kinetic friction
N is normal force
Coefficient of static friction will always be ___ than coefficient of kinetic friction
Larger
Weight of an object Fg =
m*g
m is mass
g is acceleration due to gravity
Center of mass of a uniform object is at the
Geometric center of the object
First law of Newton is
Fnet = m*a = 0
Fnet is net force
m is mass
a is acceleration
Law of inertia states
A body either at rest or in motion with constant velocity will remain that way unless a new force acts upon it
Newton’s second law
Fnet = ma
Newton’s second law states
An object of mass m will accelerate when the vector sum of the forces result in some nonzero resultant force vector
Newton’s third law
FAB = -FBA
Newton’s third law states
To every action, there is always an opposed but equal reaction
What are the linear motion equations
v = v0 + at x = v0t +(at^2) / 2 v^2 = v0^2 + 2ax x = vavg * t
On an inclined plane Fg || =
mg sin (theta)
In an inclined plane Fg perp =
mg cos (theta)
Equation for circular motion is
Fc = (m*v^2) / r Fc is magnitude of centripetal force m is mass v is speed r is radius of circular path
If there is no acceleration, there is no
Net force on the object
Equation for torque is
tourqe = r x F = rFsin (theta)
r is length of lever arm
F is magnitude of force
