$(30$ pts $)4)$ The figure shows a $4$ m diameter cylindrical log holding the liquids. The length of the $log($normal to the picture plane$)$ is $2$ m $.$ The specific weight of the water is ${}_{\text{w}\text{a}\text{t}\text{e}\text{r}}=9810\frac{N}{m^3}.$

a$)$ Determine the vertical and horizontal force components due to liquids on the log$.$

b$)$ What should be the specific gravity of the log to preserve its position, as shown in the figure? Neglect the friction at the wall.