The gear reduction unit and propeller of an outboard boat motor are shown in the following figure. This assembly is attached to the structure of the boat through the top "mounting Flange". The motor is mounted above this unit and rotates the "vertical drive shaft" with a torque of 26 Nm. By means of bevel gearing, this shaft turns the "propeller" at a rotational speed that is one third the rotational speed of the vertical shaft. The propeller provides a thrust of 490 N to drive the boat forward. Neglecting the effects of gravity and friction, identify all the external "loads" (i.e. Forces and Torques/Moments) acting on the mounting flange. (In particular, you need to find: FMFX, FMFY, FMFZ, MMFX, MMFy, and TMFZ). Also, draw a "Free Body Diagram" of this assembly showing the "loads" acting on it with their correct directions. (Note: The subscript "MF" used in the identification of the "loads" stands for "Mounting Flange".

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Please show all steps and solutions and Free body diagram 

The gear reduction unit and propeller of an outboard boat motor are shown in the following figure. This
assembly is attached to the structure of the boat through the top "mounting Flange". The motor is mounted
above this unit and rotates the "vertical drive shaft" with a torque of 26 Nm. By means of bevel gearing,
this shaft turns the "propeller" at a rotational speed that is one third the rotational speed of the vertical
shaft. The propeller provides a thrust of 490 N to drive the boat forward. Neglecting the effects of gravity
and friction, identify all the external "loads" (i.e. Forces and Torques/Moments) acting on the mounting
flange. (In particular, you need to find: FMFX, FMFY, FMFZ, MMFX, MMFy, and TMFz). Also, draw a "Free Body
Diagram" of this assembly showing the "loads" acting on it with their correct directions. (Note: The
subscript "MF" used in the identification of the "loads" stands for "Mounting Flange".
Ans. FMFx
X
Vertical
drive
shaft
Mounting
flange
500 mm
Propeller
rotation
O
Z
150 mm
Rotation
Foward
direction of
boat travel
3:1 bevel
gears are inside
this housing
= 490 N, FMFy = 0, FMF₂ = 0, MMFx = 78 Nm, MMFy
245 Nm, TMF₂
= 26 Nm
Transcribed Image Text:The gear reduction unit and propeller of an outboard boat motor are shown in the following figure. This assembly is attached to the structure of the boat through the top "mounting Flange". The motor is mounted above this unit and rotates the "vertical drive shaft" with a torque of 26 Nm. By means of bevel gearing, this shaft turns the "propeller" at a rotational speed that is one third the rotational speed of the vertical shaft. The propeller provides a thrust of 490 N to drive the boat forward. Neglecting the effects of gravity and friction, identify all the external "loads" (i.e. Forces and Torques/Moments) acting on the mounting flange. (In particular, you need to find: FMFX, FMFY, FMFZ, MMFX, MMFy, and TMFz). Also, draw a "Free Body Diagram" of this assembly showing the "loads" acting on it with their correct directions. (Note: The subscript "MF" used in the identification of the "loads" stands for "Mounting Flange". Ans. FMFx X Vertical drive shaft Mounting flange 500 mm Propeller rotation O Z 150 mm Rotation Foward direction of boat travel 3:1 bevel gears are inside this housing = 490 N, FMFy = 0, FMF₂ = 0, MMFx = 78 Nm, MMFy 245 Nm, TMF₂ = 26 Nm
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