Problem $1$

Crank $AB$ has a constant CCW angular velocity of $100ra\frac{d}{s^2}.$ For the crank position shown, find the instantaneous angular acceleration of the connecting rod BD$,$ and the acceleration of piston D using the relative velocity and relative acceleration methods. $($Use fundamental units for length and time, ft and sec respectively$).$

A graphical or analytical method may be used to find ${}_{BD},{}_{BD},a_{Gx},$ and $a_{Gy}$

Kinetics:

Neglecting the mass of the piston and all friction forces, find the dynamic pin forces at B and D $.$ Model the connecting rod $BD$ as a thin rod with a mass of $\frac{4}{32\mathrm{.}2}$ slugs. The center of mass $G$ is located $4$ inches from either end.