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Raj Deol Grade: 11
        

Q.A statioonary horizontal uniform circular disc of mass m and radius r can freely rotate about its axis.Now,it starts experiencing a torque  τ(tau)=aO(theta)+b,where  O is the angular displacement of disc and a ,b are positive constants.Find the angular velocity of disc as a function of  O(theta).

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

T(tau)=aO + b              (O= angular displacement)


T=I @


@ = angular accleration


@=dw/dt = (dw/do) (do/dt)              ( on multplying and dividing by Do)


@do =  wdw                            (do/dt =w)


(aO + b)do =wdw


 (aO2/2 +bO) =w2 /2         or


w = (aO2 +2bO)1/2      


this is the rquired solution...


approve if u like

6 years ago
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