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If flat car is given an acceleration a(0...

If flat car is given an acceleration `a_(0) = 2 m//s^(2)` starting from rest. Neglect mass of pulley and its friction . Coefficient of friction between block and flat car is `mu = 0.30` . The tension in the flight inextensible string connected to block of mass 50kg is 175K.(N) Find K.

Text Solution

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`L=y+y-x=2y-x`
Differentiation of above, gives
`2(d^(2)y)/(dt^(2))-(d^(2)x)/(dt^(2))=0 rArr a_(8) = 2a_(0)`
`T-f=ma_(8)`
`T=mu m g+m xx 2a_(0)`
`=0.3xx50xx10+50xx2xx2=350N`
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