Physics for engineer/Force

Force represents a strength interacts with matter to perform a task . For example, strength to push and pull a cart to move forward or backward . Force is denoted as F and measured in Newton unit N = Kgm/s

Formula

$F=ma=m\frac{d^2}{d{t}^2}s(t)=m\frac{d}{dt}v(t)=\frac{d}{dt}p(t)$

Types of force

Motion Force

$F=ma=m\frac{d^2}{d{t}^2}s(t)=m\frac{d}{dt}v(t)=\frac{d}{dt}p(t)$

Gravity Force

$-F=-mg=-m\frac{MG}{h^2}$

Friction force

Force opposes motion force

$F_{\mu }=\mu F_N$

Impulse

$F=m\frac{v}{t}=\frac{p}{t}$

$p=mv=Ft$

Elastic Force

Horizontal Elastic Force

$F_x=-kx$

Vertical Elastic Force

$F_y=-ky$

Inclined Elastic Force

$F_{\theta }=-l\theta$

Pressure

Force acts on an area of a surface

$F=\frac{F_N}{A}$

Centripetal Force

$F=mvr=pr$

Centripetal Force

$F=m\frac{v}{r}=\frac{p}{r}$

Electromotive Force

Force acts on electric charge to set electric charge in horizontal linear motion thus creates an electric field

$F_E=QE$

Electromagnetomotive Force

Force acts on electric charge to set electric charge in vertical motion perpendicular to initial motion thus creates magnetic field

$F_E=\pm QvB$

Electromagnetic Force

Sum of 2 forces Electromotive Force and Electromagnetomotive Force act on electric charge to set electric charge in titlted motion thus creates Electromagnetic field

$F_E=F_E+F_B=QE\pm QvB=Q(E\pm vB)$

Attractive Force

Force negative electric charge attracts positive electric charge

$F_Q=K\frac{Q_{+}{Q}_{-}}{r^2}$

Work and Energy

Work idicates the capability of force to perform a task . Work denoted as W , measured in unit Newton Meter Nm . work can be calculated by

$W=Fs=Fvt=pv$

Energy idicates the capability of force to perform a task over unit of time . Work denoted as E , measured in unit Newton Meter per second N m/s . work can be calculated by

$E=\frac{W}{t}=F\frac{s}{t}=Fv=Fat=pa$