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PhysicsW.E.P.Vertical circular motionEasy2 minQB
PhysicsEasysingle choice

An aircraft loops a vertical loop of radiusR = 500 mwith a constant velocityv=360 kmh-1. Find the weight of the flier of massm=70 kgin the lower, upper, and middle points of the loop.

Options:

Answer:
A
Solution:

Forces on the flier in the frame of aircaraft (non inertial reference frame) is:

(i) Normal reaction (N)

(ii)Pseudo force m v⁡ 2 R⁡

(iii) Gravitational force d(mg)

According to problem,

vT= vb= vm= v

The net force on flier at every point should be zero in the frame of aircraft. For top point T,

N T + mg = mv⁡ T 2 R⁡ ∴ N T = mv⁡ 2 R⁡ - mg

= 0.7 kN

For bottom point, N⁡ B⁡ = mg + mv⁡ b 2 R⁡ = mg + mv⁡ 2 R⁡

= 2.1 kN.



For middle point, N m = mv 2 R 2 + mg 2 = 1 . 5 k N⁡

Stream:JEESubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion
⏱ 2mℹ️ Source: QB

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