When the engine of the plane is running, the vertical reaction that the ground e

Question

When the engine of the plane is running, the vertical reaction that the ground exerts on the wheel at (A) is measured as 616 lb. When the engine is turned off, however, the vertical reactions at (A) and (B) are 535 each. The difference in readings at (A) is caused by a couple acting on the propeller when the engine is running. This couple tends to overturn the plane counterclockwise, which is opposite to the propeller's clockwise rotation. (Figure 1) Part A When the engine of the plane is turned on, determine the magnitude of this couple. Part B Determine the magnitude of the reaction force exerted at when the engine is running.

Explanation / Answer

a) When engine is off, net downward force (weight) = net upward force = 535+535 = 1070 lb. Balancing upward and downward forces when engine is on, 616 + Rb = 1070 This gives Rb = 454 lb. Balancing moments about A when engine is on, M + Rb*12 = 1070*(12/2) So, M = 972 lb-ft. b) Rb = 454 lb as found above.

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