SHMHard
Question
A solid cylinder of mass M attached to a mass less spring of force constant k is placed on a horizontal surface in such a way that cylinder can roll with out slipping. If the system is released from the stretched position of the spring, then the period will be -
Options
A.
B.
C.
D.
Solution
Let small angular displacement of cylinder be θ then restoring torque
Iα = - k (Rθ)R where I =
MR2
⇒
θ = 0 ⇒ 
θ = 0 ⇒ ω2 = 
Iα = - k (Rθ)R where I =
MR2⇒
θ = 0 ⇒ θ = 0 ⇒ ω2 = Create a free account to view solution
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