a$.$ Draw appropriate vector loop$($s$).$

b$.$ Write out the vector loop equations.

c$.$ Draw a coordinate frame.

d$.$ Write the $x$ and $Y$ components of the vector loops in their simplest form.

e$.$ Write down all extra geometric constraints. Define constant angles and lengths as needed.

f$.$ List the scalar constants $($knowns$)$ and the scalar variables $($unknowns$).$

g$.$ From all of the above, deduce the number of degrees of freedom in the system.

h$.$ Check your result in part g against Gr$$bler$\text{'}$s criterion.

Problem $1$

Problem $3$

Geneva wheel