- published: 23 Jun 2016
- views: 23866
Statics is the branch of mechanics that is concerned with the analysis of loads (force and torque, or "moment") acting on physical systems that do not experience an acceleration (a=0), but rather, are in static equilibrium with their environment. When in static equilibrium, the acceleration of the system is zero and the system is either at rest, or its center of mass moves at constant velocity. The application of Newton's second law to a system gives:
Where bold font indicates a vector that has magnitude and direction. F is the total of the forces acting on the system, m is the mass of the system and a is the acceleration of the system. The summation of forces will give the direction and the magnitude of the acceleration will be inversely proportional to the mass. The assumption of static equilibrium of a = 0 leads to:
The summation of forces, one of which might be unknown, allows that unknown to be found. Likewise the application of the assumption of zero acceleration to the summation of moments acting on the system leads to:
You're feelin' bad,
you need a friend
it seems that night won't end
doubts an' fears fill the air
midnight shadows everywhere . . .
Don't be afraid
the dawn is near
to help you face your fear
you're not alone
we're really all the same
caught in the game of "life" we're playin'
So it goes . . . if there's an answer
then nobody knows
love's always dancin' just ahead
so hope is never dead somehow it grows
So it goes . . . the sea of mystery
it ebbs an' flows
a priceless gift of old
oh the magic of a simple rose
that's life an' so it goes . . .
When lonely times weigh on your mind
and hopes are hard to find
then use the good you've had before
to help you face the world once more
there's more in you than you can see
if only you believe
dream your dreams an' if they don't come true
you'll still get along, that's life,
just live it . . .
So it goes . . . if there's an answer
then nobody knows
love's always dancin' just ahead
so hope is never dead somehow it grows
So it goes . . . the sea of mystery
it ebbs an' flows
a priceless gift of old
oh the magic of a simple rose
that's life an' so it goes . . .