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Blocks-P-and-R-starts-from-rest-and-moves-to-the-right-with-acceleration-a-P-12t-m-s-2-and-a-R-3-m-s-2-Here-t-is-in-seconds-The-time-when-block-Q-again-comes-to-rest-is-




Question Number 19509 by Tinkutara last updated on 12/Aug/17
Blocks P and R starts from rest and  moves to the right with acceleration  a_P  = 12t m/s^2  and a_R  = 3 m/s^2 . Here t  is in seconds. The time when block Q  again comes to rest is
BlocksPandRstartsfromrestandmovestotherightwithaccelerationaP=12tm/s2andaR=3m/s2.Heretisinseconds.ThetimewhenblockQagaincomestorestis
Commented by Tinkutara last updated on 12/Aug/17
Answered by ajfour last updated on 12/Aug/17
a_P −a_R =2a_Q   a_Q =(1/2)(12t−3)=6t−(3/2)  ⇒    ∫_0 ^(  v_Q ) dv_Q  = ∫_0 ^(  t) (6t−(3/2))dt      v_Q = 3t^2 −((3t)/2)   ⇒   v_Q =0   at t=0, (1/2) s.  Q comes to rest again at t=(1/2) s.
aPaR=2aQaQ=12(12t3)=6t320vQdvQ=0t(6t32)dtvQ=3t23t2vQ=0att=0,12s.Qcomestorestagainat\boldsymbolt=12s.
Commented by Tinkutara last updated on 12/Aug/17
Thank you very much Sir!
ThankyouverymuchSir!ThankyouverymuchSir!

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