ratio

two forces F1 and F2 are applied on spool of mass M and moment of inertia I about an axis passing from centre of mass.Find the ratio F1/F2 so that force of friction is zero. Given I<Mr2

1 Answers

62
Lokesh Verma ·

a = (F1+F2)/m

FOr pure rotation,

a=α.(2r)
α = (F1+F2)/2mr

F1.2r-F2.r = Iα

(F1+F2)/2mr = F1.2r-F2.r

divide by F2 on both sides

F1/F2 + 1 = (2F1/F2 - 1) 2 m r2

F1/F2 = {1+ 2 m r2}/{4 m r2 - 1 }

Make sure there are no calculation errors!!

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