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krishna teja Grade:
        A soild body starts rotating about stationary axis with an angular acceleration=t/50,t is in seconds.How soon after the beginning of rotation will the total acceleration vector of an arbitary point of the body form an angle 60degrees with its velocity vector?
6 years ago

Answers : (1)

AJIT AskiitiansExpert-IITD
68 Points
										

Dear  krishna ,


 a  =  t/50

   = dw/ dt

hence

dw =  (t/50 )dt

on integrating

  w =   t2 /100


a tangential = ar = 2*10-2 t

a centripetal =w 2r = 10-4 t4

also

tan 60 =  √3 = a centripetal / a tangential

                  = t3 /  (2 * 102 )

hence

t3  =  2* 3*102
     346.4

or

t     =    7 seconds 


 


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Ajit Singh Verma IITD

6 years ago
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