Q. 42

A helicopter of mass 2000kg rises with a vertical acceleration of 15 m s-2. The total mass of the crew and passengers is 500 kg. Give the magnitude and direction of the (g = 10 m s-2)

(a) force on the floor of the helicopter by the crew and passengers.

(b) action of the rotor of the helicopter on the surrounding air.

(c) force on the helicopter due to the surrounding air.

Answer :

(a) From the diagram, the force on the floor(F) is given by:



Where m is the mass of the crew and a is the upwards acceleration.



(b) Here, we have to consider all the weight if the system. The force due to rotor Fr is:




(c) This force is just the reaction force of Fr. So the force due to surrounding air is 6.25 x 104 N.



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