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

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

Types of force

Mechanical motion

Motion Force

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

Gravity Force

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

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

$F={\frac {F_{N}}{A}}$

Friction force

Force opposes motion force

$F_{\mu }=\mu F_{N}$

Centripetal Force

$F=mvr=pr$

Centripetal Force

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

Electric Charge

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

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