Determine the normal force it exerts on the surface and the mass mB of block B

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A 4-kg sphere rests on the smooth parabolic surface.
Determine the normal force it exerts on the surface and the
mass mB of block B needed to hold it in the equilibrium
position shown.
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Hi :)

Do you mind explaining how alpha is opposite beta?

Thank you.

T-She-Go
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How did you come up with 1 as the base of your first triangle when finding Beta?

taco_taco
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When you solved the sum of Forces in the y-axis why did you multiple the function by (-.5/.866)? where did you get that value?

ROCKYGuerrero
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Can u explain where beta came from and how u solved it and for alpha

nainamir
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why is there no x component of the weight force

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