Problem $1(10$ points$)$: Learning Outcome #$2$

Assume you have gate $AB,$ that has a width of $1\mathrm{.}5$ m and a radius of $3$ m $.$ Notice you have pin at Point $A.$ At Point B you have a smooth stop such that here is a normal force acting at Point B to keep the gate closed. Let the density of water be $1000k\frac{g}{m^3}.$

Part A: Determine the hydrostatic horizontal force on gate $AB$ and its point of application.

Part B: Determine the hydrostatic vertical force on the gate $AB$ and its point of application.

Part C: Determine the horizontal and vertical components of the reaction force at hinge $A.$Problem $1(10$ points$)$: Learning Outcome #$2$

Assume you have gate $AB,$ that has a width of $1\mathrm{.}5$ m and a radius of $3$ m $.$ Notice you have pin at Point $A.$ At Point B you have a smooth stop such that here is a normal force acting at Point B to keep the gate closed. Let the density of water be $1000k\frac{g}{m^3}.$

Part A: Determine the hydrostatic horizontal force on gate $AB$ and its point of application.

Part B: Determine the hydrostatic vertical force on the gate $AB$ and its point of application.

Part C: Determine the horizontal and vertical components of the reaction force at hinge $A.$