A plane's propeller can be modeled as a thin, uniform rod that rotates about its frictionless center axis, as shown in the diagram. We can also model the force from the plane engine as two applied...

Extracted text: A plane's propeller can be modeled as a thin, uniform rod that rotates about its frictionless center axis, as shown in the diagram. We can also model the force from the plane engine as two applied torques, one on each side of the propeller, at the midpoints of each half. The force applied to each side of the propeller in 591 N, the propeller's mass is 10.1 kg, and the propeller's total length is 6.51 meters. a) What is the direction (clockwise or counterclockwise) and magnitude of the torque applied on the right and left sides of the propeller. b) To start the plane flying, the engine applies this constant force for 10 seconds, then shuts off. What will the final angular velocity of the propeller be after this 10 second period, assuming the propeller started from rest. c) While in the air, the plane flies through a thick dust storm and 2 kg of dust stick to the propeller in a uniform matter (such that that the propellers can still be modeled as a uniform rod). What is the new angular velocity of the propeller? Assume that the engine is not applying any force after the 10 second period in part b, and that once the plane has lifted off, its propeller continues rotating at the angular velocity in part b.


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