A Simple Pendulum Is Moving Simple Harmonically With A Period Of 6 S Between Two Extreme Position B And C About A Point O. If The Angular Distance Between B And C Is 10 Cm, How Long Will The Pendulum Take To Move From Position C To A Position D Exactly Midway Between O And C.

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A simple pendulum is moving simple harmonically with a period of 6 s between two extreme position B and C about a point O. if the angular distance between B and C is 10 cm, how long will the pendulum take to move from position C to a position D exactly midway between O and C.


Correct option is

1.0 s


Given time period T = 6 s   



Let the displacement of the pendulum be given by 



let us suppose that at t = 0, the pendulum is at C, i.e., at t = 0, x = A, so that


Thus the motion of the pendulum is given by 


The value of t for which x = 2.5 cm is given by   

         2.5 = 5 cos ωt 




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Which of the following statements is/are true? 


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