A. Engineering Mechanics (PSAD)

Displacment (Constant Velocity)

S = vt

Distance “d” (Constant Speed)

d = Speed x t

Constant Accceleration (No Vf)

$$s=v_{o}t+\frac12at^2$$

Constant Accceleration (No t)

$v_{f}^2=v_{o}^2+2as$

Constant Accceleration (No s)

$$v_{f}=v_{o}+at$$

Angle of Friction ($\theta$)

$$\tan\theta=\mu$$

Belt friction

$$\frac{T_2}{T_1}=e^{\mu_{s}\beta}$$

Coefficient of static friction

$$\mu_{s}=\frac{F}{N}$$

Coefficient of kinetic friction

$$\mu_{k}=\frac{F}{N}$$

Normal acceleration

$$a_{n}=\frac{v^2}{R}$$

Total acceleration

$$a=\sqrt{a_{t}^2+a_{n}^2}$$

Velocity: Variable acceleration (solution by formula)

v = ds/dt

Acceleration: Variable acceleration (solution by formula)

a = dv/dt

Jerk: variable acceleration (solution by formula)

J = da/dt

$\Delta v$ : variable acceleration (graphical solution using a-t diagram)

$\Delta v=$ change in area of the a-t diagram

$\Delta s$ : variable acceleration (graphical solution using a-t diagram)

$\Delta s=v_{o}t+$ change in moment of area of the a-t diagram

$\Delta s$ : variable acceleration (graphical solution using v-t diagram)

$\Delta s=$ Change in area of the v-t diagram

Newton’s second law of motion

$$F=ma$$

Vertical projection of motion (Vty=?)

$$y=v_{oy}t-\frac12at^2$$

Vertical projection of motion

Horizontal projection of motion

$$x=v_{x}t$$