Circular MotionHard
Question
A Toy cart attached to the end of an unstretched string of length a, when revolved moves on a smooth horizontal table in a circle of radius 2a with a time period T. Now the toy cart is speeded up until it moves in a circle of radius 3a with a period T′. If Hook′s law holds then (Assume no friction) :
Options
A.T′ =
T
TB.T′ = 
T
TC.T′ = 
T
TD.T′ = T
Solution
F = kx, T1 = ka = mω2 2a ⇒ ω = 
Time period =
= 
= T
T2 = 2ka = mω23a ⇒ ω =
Time period =
= T′
T′ =
T Ans.
Time period =
= = TT2 = 2ka = mω23a ⇒ ω =
Time period =
= T′T′ =
T Ans.Create a free account to view solution
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