Kinematics & Dynamics Review (Video Notes)

A set of fill-in-the-blank flashcards covering SI units, vectors, displacement/velocity, forces and friction, Newton's laws, projectile and circular motion, and mechanical equilibrium.

The base units of the SI system are called __.

base units

1 meter is approximately __ yards.

1.094 yd

1 kilogram equals __ pounds.

2.205 lb

1 liter is approximately __ quarts.

1.06 qt

The three main steps for unit conversions using dimensional analysis are: 1) Write down what you want to know; 2) Start with the given measured quantity; 3) __ factors to cancel unwanted units.

apply conversion

Vectors have magnitude and __; scalars do not have a direction.

direction

Displacement is a __ quantity, while distance is a scalar.

vector

Velocity is a __ quantity; speed is a scalar.

vector

The sum of two vectors is called the __.

resultant

One common method to add vectors is the __ method, where you place the tail of one vector at the tip of the other.

tip-to-tail

To find vector components, we split vectors into perpendicular components along the x- and y-axes; this is called the __ method.

component

In the component method, the magnitude of the resultant is found using the Pythagorean __.

theorem

A − B can be rewritten as A + () which means adding the opposite of B.

-B

Multiplying a vector by a scalar changes its magnitude; if the scalar is negative, the vector direction is __.

opposite

The dot product A · B = |A||B| cos θ yields a __.

scalar

The cross product A × B yields a __ perpendicular to both vectors.

vector

The direction of the cross product is given by the __ rule.

right-hand

Weight Fg is equal to mass times gravitational acceleration: Fg = __.

mg

The five steps to draw a Free Body Diagram include isolating the object, sketching, identifying forces, drawing force arrows, and __.

label forces

Equilibrium occurs when the vector sum of all forces acting on an object is __.

zero

In rotational equilibrium, the sum of all torques about the pivot is __.

zero

The torque equation is T = r × F; this is a __ product.

cross

Uniform circular motion has centripetal acceleration ac = v^2 / r directed toward the ___.

center

Newton's first law states a body at rest or in motion will remain so unless acted on by a net __.

force

Newton's second law states net force equals mass times acceleration: F = __.

ma

Newton's third law describes action–reaction pairs; forces come in equal and opposite __.

pairs

On an inclined plane, the gravity component parallel to the plane is Fparallel = m g sin θ, and the normal force equals the perpendicular component N = ___.

m g cos θ

The maximum static friction is fs,max = ___ N.

μ_s N

For a projectile, Vy becomes zero at the of the trajectory.

highest point

In uniform circular motion, the velocity is always tangent to the .

circle

When solving for time in projectile motion, there are two instances for t: the moment of launch and the moment of .

impact

One equation for linear motion with constant acceleration is __.

x = v0 t + 1/2 a t^2