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A weightless rigid rod with a small iron bob at the end is hinged at point  to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible string of length 20 cm, fixed at its midpoint. The bob is displaced slightly perpendicular to the plane of the rod and string. Find period of small oscillations of the system in the form  and fill the value of .


Question ID - 153907 :-

A weightless rigid rod with a small iron bob at the end is hinged at point  to the wall so that it can rotate in all directions. The rod is kept in the horizontal position by a vertical inextensible string of length 20 cm, fixed at its midpoint. The bob is displaced slightly perpendicular to the plane of the rod and string. Find period of small oscillations of the system in the form  and fill the value of .

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Answer Key : (4) -

(4)

The bob will execute SHM about the stationary axis passing through . If its effective length is then



Next Question :

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 )


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