Laws of MotionHard

Question

A pendulum of mass m hangs from a support fixed to a trolley. The direction of the string when the trolley rolls up a plane of inclination a with acceleration a0 is (String and bob remain fixed with respect to trolley) :

Options

A.θ = tan-1 α
B.θ = tan-1
C.θ = tan-1
D.θ = tan-1

Solution


T sinθ    =  m (g sinα + a0)
T cosθ   =  mg cosα 
⇒    tanθ    = 
θ = tan-1

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