The answer is A, but I don\'t understand why A Ferris wheel of radius R rotates

Question

The answer is A, but I don't understand why

A Ferris wheel of radius R rotates at a constant angular speed omega in the clockwise direction, such that the wheel completes one revolution every T seconds. What is the force exerted by the seat at position E on a passenger whose mass is M? Each adjacent point is separated by 45 degrees. F vector _ seat = M omega^2/ root 2 (-1,1,0) - Mg(0, -1, 0) N F vector _seat M omega ^2 R/ root 2 (-1,1,0) + Mg(0, -1,0) N F vector _seat M omega ^2 R/ root 2 (1,1,0) - Mg (0,-1,0)N

Explanation / Answer

As wheel is rotating so person will experience centripetal acc.

centripetal acc. = w^2R

a_c = w^2R ( - cos45, cos45 , 0 )

gravitational force Fg = Mg(0, -1, 0)

using F = ma

Fs + Mg = Ma

Fs = Ma - Mg

Fs = M ( w^2R) ( - cos45, cos45, 0)   - Mg (0, -1, 0)

Fs = Mw^2R/sqrt(2) (-1, 1, 0) - Mg(0,-1,0)

Ans(A)

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