$1.$ Draw an appropriate vector loop.

$2.$ Write out the vector loop equation$($s$),$ or VLE$($s$).$

$3.$ Write the X and Y components of the VLE$($s$)$ in their simplest form.

$4.$ Write down all geometric constraints.

$5.$ Write down all rolling contact equations.

$6.$ Summarize the knowns and the unknowns.

$7.$ From all the above, deduce the number of degrees of freedom in the system Problem $3\mathrm{.}2$