A trolley is accelerating down an incline of angle θ with acceleration g sin θ. Which of t

Question

A trolley is accelerating down an incline of angle &#952; with acceleration g sin &#952;. Which of the following is correct. (a is the constant angle made by the string with vertical).

Accepted Answer

F.B.D. of mass m is w.r.t. trolley
T sin (α − θ) + mg sin θ − F_P = 0         [Equilibrium of mass in x direction w.r.t. trolley]
⇒    T sin (α − θ) + mg sin θ − mg sin θ = 0
⇒    T sin (α − θ) = 0
since T cant be zero , sin (α − θ) must be zero
⇒    α = θ

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