A 6520 kg helicopter accelerates upward at 0.62 m/s 2 while lifting a 1190 kg fr

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A 6520 kg helicopter accelerates upward at 0.62 m/s2 while lifting a 1190 kg frame at a construction site.

File Edit View History Bookmarks People Window Help 16866416 A 6520 kg helicopter accelerates upward at 0.62 m/'s2 while lifting 1190 kg frame at a construction ste (a) What is the lift force exefted by the air on the helicopter rotors? (b) What is the tension in the cable (ignore its mass) that connects the frame to the helicopter? (e) What force does the cable exert on the helicopter? su it Answer Save Progress Padce Another wersion points 1 Previous Answers this elevator over a An elevator in a tall building is allowed to reach a maximum speed of 3.7 my's poing down. what must the tension be in the cable to stop distance of 3.3 m if the elevator has a mass of 1290 kg including eccupants?

Explanation / Answer

Let:
F be the lift force exerted by the air on the rotors,
M be the helicopter mass,
m be the car mass,
a be the upward acceleration,
T be the tension in the cable,
g be the acceleration due to gravity.

(a)
F - (M + m)g = (M + m)a
F = (M + m)(a + g)
= (6520 + 1190)(0.62 + 9.81)
= 8.04 * 10^4 N to 3sf.

(b)
T - mg = ma
T = m(g + a)
= 1190(9.81 + 0.62)
= 1.24 * 10^4 N to 3sf.

c) f = 1.24 * 10^4 N

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