Why Is the Resultant Force on the Blade Directed Downwards?

[werson tan]

Homework Statement

why the resultant force on blade is acted downwards (toward A)? why shouldn't it be slanted upwards ?
since the horizontal component of the force acted 2.12kN to the left , and 0.735kN upwards , we would get the resultant force acting slanted upwards , right ?

Homework Equations

The Attempt at a Solution

 

[haruspex]

There is a typo in the Fx equation. The second 12cos60-12 should be 12cos60+12.
In the final answer, take note of the direction of the arrow. The angle is 19.11 degrees to the centreline (x axis). The "towards A" just means it is clockwise from that centreline.

 

[werson tan]

There is a typo in the Fx equation. The second 12cos60-12 should be 12cos60+12.
In the final answer, take note of the direction of the arrow. The angle is 19.11 degrees to the centreline (x axis). The "towards A" just means it is clockwise from that centreline.

the horizontal component of force should be -1.272 N + 2.54 = 1.27N N to the right, whereas the direction and magnitude of vertical force is the same ? then , the direction of resultant of force should be upwards just like the diagram below?

 

[haruspex]

the horizontal component of force should be -1.272 N + 2.54 = 1.27N N to the right, whereas the direction and magnitude of vertical force is the same ? then , the direction of resultant of force should be upwards just like the diagram below?

The calculated Fx and Fy are forces on the stream of water. To get the forces on the blade you have to negate both, giving 2.12kN to the right and 0.735kN down.

 

[werson tan]

The calculated Fx and Fy are forces on the stream of water. To get the forces on the blade you have to negate both, giving 2.12kN to the right and 0.735kN down.

isnt that the the resultant force on blade and forecs of steam of water are of same magnitude and same direction
?

 

[haruspex]

isnt that the the resultant force on blade and forecs of steam of water are of same magnitude and same direction
?

Action and reaction are equal and opposite. The force the blade exerts on the stream of water is equal and opposite to the force the water exerts on the blade.