ENGR $102$

Dynamics

Lecture $3$

Tutorial

Question $3$

A gear is decelerated by a non$-$linear torque provided by the

lubricant:

${}^{}=-k\sqrt[\phantom{2}]{}{?}^{}$

Determine:

a$){}^{}(t)=f({}_0^{},k,t)$

b$)(t)$

c$){}^{}(t)$

d$){}^{}()=f({}_0^{},k,,{}_0)$

e$)$ Plot$/$sketch ${}_t^{},{}_t^{},{}_t$

f$)$ for what timeframe is the model valid? $?)$

Why?