Kinematics & Dynamics Flashcards
SI Units
Length = meter, Mass = kilogram, Time = second, Current = ampere (coulomb/second), Amount of a substance = moles, Temp = kelvin, Luminous Intensity = candela
Base unit
The standard units around which the system (SI) is designed
Derived unit
Associating base units with each other
Newton
Unit of force.
1 kg x m/s^2
Derived force unit
Newton
Derived work/energy unit
Joule
kg x m^2/s^2
Derived power unit
Watt
kg x m^2/s^3
Vectors
Numbers that have magnitude and direction
Displacement, velocity, acceleration, force
Scalars
Numbers that have magnitudes only and no direction
Distance, speed, energy, pressure, mass
Resultant
Sum or difference of two or more vectors
Pythagorean Theorem
X^2 + Y^2 = V^2
Component method
Used to find the Resultant. Add all X and Y sides together then use Pythagorean theorem to find resultant
Vector Subtraction
Can be accomplished by adding a vector with equal magnitude, but opposite direction, to the first vector.
A - B = A + (-B)
Dot product
Used to generate a scalar quantity from two vectors. The absolute values of A . B cos angle
Cross product
Used to generate a third vector like Torque.
The absolute values of A x B sin angle. The resultant of cross product is always perpendicular to the plane created by the two vectors