LESSON 1 Flashcards
can be defined as the science which describes and predicts the conditions of rest or motion of bodies under the action of forces.
MECHANICS
what are the three types of mechanics?
- MECHANICS OF DEFORMABLE BODIES
- MECHANICS OF RIGID BODIES
- MECHANICS OF FLUIDS
dealing with bodies at rest
STATICS
dealing with bodies in motion
DYNAMICS
what are the four basic concepts used in mechanics?
- SPACE
- TIME
- MASS
- FORCE
has only magnitude, but no direction
SCALAR QUANTITY
cannot be resolved as it has exactly same value regardless of direction
SCALAR QUANTITY
give examples of scalar quantity
LENGTH, MASS, ENERGY, DENSITY
any change in __________ is the reflection of change in magnitude
SCALAR QUANTITY
has both magnitude and direction
VECTOR QUANTITY
can be resolved in any direction using sine or cosine of the adjacent angle
VECTOR QUANTITY
give examples of vector quantity
DISPLACEMENT, VELOCITY, ACCELERATION, FORCE
is the geometric region occupied by bodies whose positions are described by linear and angular measurements relative to a coordinate system
SPACE
is the measure of the succession of events and is a basic quantity in dynamics
TIME
is a measure of the inertia of a body, which is its resistance to a change of velocity
MASS
is the action of one body on another
FORCE
is a body of negligible dimensions
PARTICLE
a body is considered rigid when __________________________
THE CHANGE IN DISTANCE BETWEEN ANY TWO OF ITS POINTS IS NEGLIGIBLE FOR THE PURPOSE AT HAND.
defined as that which changes, or tends to change, the state of motion of a body.
FORCE
what are the 3 characteristics of force?
- ITS MAGNITUDE
- THE POSITION OF ITS LINE OF ACTION
- THE DIRECTION IN WHICH THE FORCE ACTS ALONG ITS LINE OF ACTION
If the resultant force acting on a particle is zero, the particle will remain at rest (if originally at rest) or will move at a constant speed in a straight line (if originally in motion)
NEWTON’S FIRST LAW OF MOTION:
LAW OF INERTIA
If the resultant force acting on a particle is not zero, the particle will have an acceleration proportional to the magnitude of the resultant and in the direction of this resultant force
NEWTON’S SECOND LAW OF MOTION:
LAW OF ACCELERATION
The forces of action and reaction between bodies in contact have the same magnitude, same line of action, and opposite sense
NEWTON’S THIRD LAW OF MOTION:
LAW OF ACTION AND REACTION
This states that two particles of mass M and m mutually attracted with equal and opposite forces F and -F of magnitude F.
NEWTON’S LAW OF GRAVITATION
what is the formula for Newton’s Law of Gravitation?
F = (G) m1 m2 / r^2
what is the universal constant of gravitation?
G = 66.73(10^-12) m^3 / kg(s^2)
This states that two forces acting on a particle may be replaced by a single force, called their resultant, obtained by drawing the diagonal of the parallelogram which has sides equal to the given forces.
PARALLELOGRAM LAW FOR ADDITION
this states that if there are two forces which are congregation or transient through a point then the third or enclosing side of a triangle is such that
TRIANGLE LAW or TRIANGULAR LAW OF FORCES
law of cosines
> a^2 = b^2 + c^2 - 2bc(cos)a
b^2 = c^2 + a^2 - 2ca(cos)b
c^2 = a^2 + b^2 - 2ab(cos)c
this states that the conditions of equilibrium or of motion of a rigid body will remain unchanged if a force acting at a given point of the rigid body is replaced by a force of the same magnitude and same direction, but acting at a different point, provided that the two forces have the same line of action.
PRINCIPLE OF TRANSMISSIBILITY
what is the SI unit of length?
meter, m
what is the SI unit of time?
second, s
what is the SI unit of mass?
kilogram, kg
what is the SI unit of Force?
newton, N (kg(m).s^2)
what is the US customary (FPS) of length?
foot, ft
what is the US customary (FPS) of time?
second, s
what is the US customary (FPS) of mass?
slug, (lb(s^2)/ft)
what is the US customary (FPS) of force?
POUND, lb
what is the equivalent of force (lb) in SI unit?
4.448 N
what is the equivalent of mass (slug) in SI unit?
14.59 kg
what is the equivalent of length (ft) in SI unit?
0.3048 m
what is the prefix of 10^9?
GIGA, G
what is the prefix of 10^6?
MEGA, M
what is the prefix of 10^3?
KILO, k
what is the prefix of 10^-3
MILLI, m
what is the prefix of 10^-6
MICRO, u
what is the prefix of 10^-9
NANO, n
what are the 2 branches under the Mechanics of Rigid Bodies?
- STATICS
- DYNAMICS
is the foundation of most engineering sciences and is an indispensable prerequisite to their study
MECHANICS
how many kilograms are there in 1lb?
0.453592 kg
how many slugs are there in 1kg?
0.0685 slugs
how many feet are there in 1 mile?
5280 ft
how many quarts are there in 1 gallon?
4 quarts
how many inches are there in 1 mile?
63,360 inches
hi goodluck
go bes!