Two uniform ropes having linear mass densities m and 4m are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above and denser rope below, as shown in the figure. (Figure represents equilibrium position). Now if point A (joint) is slightly displaced in downward direction and released, it is found that the loop performs SHM. Find the time period of oscillation.[Take l=1504π2 m,g=10 m/s2]

Two uniform ropes having linear mass densities m and 4m are joined to

1.	Two uniform ropes having linear mass densities m and 4m are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above and denser rope below, as shown in the figure. (Figure represents equilibrium position). Now if point A (joint) is slightly displaced in downward direction and released, it is found that the loop performs SHM. Find the time period of oscillation.[Take l=1504π2 m,g=10 m/s2]
Answer» Two uniform ropes having linear mass densities $m$ and $4 m$ are joined to form a closed loop. The loop is hanging over a fixed frictionless small pulley with the lighter rope above and denser rope below, as shown in the figure. (Figure represents equilibrium position). Now if point $A$ (joint) is slightly displaced in downward direction and released, it is found that the loop performs SHM. Find the time period of oscillation. $[Take l = \frac{150}{4 π^{2}} m, g = 10 {m/s}^{2}]$

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