Mechanics

A solid body starts roting about a stationary axis with an angular velocity=t/50,t is in sec how soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an an angle 60degrees with its velocity vector?

krishna teja

15 Years agoGrade

1 Answer

vikas askiitian expert

15 Years ago

v=t/50 ( given)

dv/dt = at(tangential)=1/50

ar(centripital)=v^2/r = (t^2/2500r)

total accleration = sqrt ( (at)^2 + (ar)^2 )

total accleration is making an angle 60 with velocity vector ......velocity is parallel to tangential accleration so total accleration makes angle of 60 with tangential accleration...

a(total accleration)cos60 = a(tangential)

t= sqrt(3r) sec ( here r is the radius of circular path)

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A solid body starts roting about a stationary axis with an angular velocity=t/50,t is in sec how soon after the beginning of rotation will the total acceleration vector of an arbitrary point of the body form an an angle 60degrees with its velocity vector?

krishna teja

1 Answer

vikas askiitian expert

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