Engineering
Physics
Constrained Relation
Question

A Circular platform rotates around a vertical axis with angular velocity ω = 10 rad/sec. On the platform is a ball of mass 1 kg, attached to the long axis of the platform by a thin rod of length 10 cm (α = 30°). Find normal force exerted by the ball on the platform (in Newton). Friction is absent.

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Solution
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Tsinθ = mω2ℓ sinθ

T = mℓω2

Tcosθ  + N = mg                                  

N = mg – mℓω2cosθ

N=1×101×0.1×12×100=5

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