Pr 1 (50 pt) : A gate 1 m wide and 1.2 m tall is hinged at the bottom. On one side the gate holds back a 1 m deep body of water. On the other side a 5 cm diameter water jet hits the gate at a height of 1 m . Assume x is positive to the right and that density is 1000k(g)/(m^(3)). a) (10 pt) Compute the hydrostatic force on the right side of the gat

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Pr 1 (50 pt) : A gate 1 m wide and 1.2 m tall is hinged at the bottom. On one side the gate holds back a 1 m deep body of water. On the other side a 5 cm diameter water jet hits the gate at a height of 1 m . Assume

x

is positive to the right and that density is

1000k(g)/(m^(3))

. a) (10 pt) Compute the hydrostatic force on the right side of the gate. b) (10 pt) Compute the distance of the hydrostatic force from the bottom of the water on the right. c) (5 pts) Draw a FBD of ALL the forces acting on the gate. The FBD should indicate the forces and their locations. d) (10 pt) Compute the force of the jet required to hold the gate in the vertical position. e) (10 pt) Compute the speed of the jet required f) (5 pt) Compute the reaction force, Rx at the hinge. Be clear on which direction it is

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