Example: force applied to piston

Given: setup as shown, before and

after an applied force F$.$

Calculate: F in terms of D$,$ d$,$ h$,$ H$,\backslash$rho $.$

Equation:

initial final

assume constant $\backslash$rho

Initial:

Initial free$-$body diagram:

Final free$-$body diagram:

Final:Example: force applied to piston

Given: setup as shown, before and

after an applied force $F.$

Calculate: $F$ in terms of $D,d,h,H,.$

Equation: $\frac{dp}{dy}=-g,$ assume constant $$

Initial:

Initial free$-$body diagram:

Final:

Final free$-$body diagram: