Questions
The string of a simple pendulum is replaced by a uniform rod of length L and mass M while the bob has a mass m. It is allowed to make small oscillations. Its time period is
detailed solution
Correct option is B
When the rod is replaced by the string the simple pendulum will act as compound pendulum for which time period is given byT=2πI0Mgd ………(i)I0= moment of inertia about point of suspension=ML23+mL2=(M+3m)L23M' = total mass = (M + m)d = separation between point of suspension and centre of mass of the pendulum=M(L/2)+m(L)(M+m)=(M+2m)L2(M+m)Substituting the values in Eq. (i), we get⇒ T=2π2(M+3m)L3(M+2m)gTalk to our academic expert!
Similar Questions
A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be
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