A $0\mathrm{.}5$ mm diameter titanium rod is gently placed on the surface of water at $20C.$ Water's

surface tension $(0\mathrm{.}0728\frac{N}{m})$ supports the titanium rod and the rod "floats" on the water's

surface.

a$.,12$ Titanium's specific gravity at $20C$ is approximately $4\mathrm{.}5.$ What is its specific

weight in units of $\frac{N}{m^3}?$

b$.$

$\text{'}7$ Derive an equation and find the contact angle $()$ that the water makes with the

titanium rod in degrees. Show all your work, including drawing a free body diagram,

statics $($summing forces$),$ and deriving equation.