# Two simple pendulums  and  having lengths  and ,respectively are released from the position as shown in figure. Calculate the time (in seconds) after which the two strings become parallel for the first time. (Take  and )

## Question ID - 153908 :- Two simple pendulums  and  having lengths  and ,respectively are released from the position as shown in figure. Calculate the time (in seconds) after which the two strings become parallel for the first time. (Take  and )

3537

(1)

The angular position of pendulums 1 and 2 are (taking angles to the right of reference line  to be positive)

For the straight to be parallel for the first time

For

For

Both the pendulums are parallel to each other for the first time after

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A small body of mass  is connected to two horizontal springs of elastic constant  natural length  In the equilibrium position both springs are stretched to length , as shown figure. What will be the ratio of period of the motion  if the body is displaced horizontally by a small distance where  is the time period when the particle oscillates along the line of springs and  is time period when the particle oscillates perpendicular to the plane of the figure? Neglect effects of gravity