Derive an expression for the radius r of the circular arc

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1372_fri.png

A fighter pilot of mass m flies in a vertical dive through a vertical circular arc as shown. She does so at a speed such that the net force on her at point X (the lowest point of the arc) is nine times her actual weight. Her speed at X is v.

(a) Using the following figure, sketch and label all the forces on the pilot at the moment she passes through point X.

820_pilot.png

(b) Derive an expression for the normal force exerted by the seat on the pilot when she is at point X. Leave your answer in terms of m and g.

(c) Derive an expression for the radius R of the circular arc. Leave your answer in terms of v and g. (Diagram is above)

1125_friction.png

Reference no: EM13975111

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