A $5\mathrm{.}8-g,$ insulating sphere has $+68C$ of charge spread uniformly across its surface. It is attached to a light string and placed in a uniform electric field vec$(E)$ that makes an angle of $37$ with the horizontal. The charge and string are near the surface of the Earth. The string and charge are in static equilibrium when the string is horizontal, as shown.

a$.$ Draw a free$-$body diagram for the forces acting on the sphere. Clearly and uniquely label each force arrow.

b$.$ Find the magnitude of the electric field.

c$.$ Find the tension in the string.