LB$4$ Be able to derive and interpret an expression for the uniform acceleration of a Be able to derive and interpret an expression for the uniform acceleration of aBe able to derive and interpret an expression for the uniform acceleration of a

mechanical system.

For the system shown in Figure $2,$ take the initial state at rest and the mass $m$ at the same height

of the wheels. Assume that the system is conservative and that both wheels are plane discs

$\{$:$\frac{1}{2}m{r}^2).$ Assume there is no slip, cable is always taut and the smaller wheel is being used as a

cable spool.

a$)$ Fill in the following table for system Kinetic Energy and Potential Energy for the initial state

and a final $($displaced$)$ state.

b$)$ Use the expressions obtained in a$)$ to deduce an expression for the downward acceleration of

the mass $m,x^{}.$

mechanical system.

For the system shown in Figure $2,$ take the initial state at rest and the mass $m$ at the same height

of the wheels. Assume that the system is conservative and that both wheels are plane discs

$\{$:$\frac{1}{2}m{r}^2).$ Assume there is no slip, cable is always taut and the smaller wheel is being used as a

cable spool.

Figure $2$mechanical system. For the system shown in Figure $2,$ take the initial state at rest and the mass m at the same height of the wheels. Assume that the system is conservative and that both wheels are plane discs $($I$=\mathrm{.}1/2$ m r$^2).$ Assume there is no slip, cable is always taut and the smaller wheel is being used as a cable spool. Figure $2$