Questions
The potential energy of a particle of mass I kg in motion along the x-axis is given by: , where x is in metres. The period of small oscillation (in sec) is
detailed solution
Correct option is C
F = -dUdx = -8 sin 2xFor small oscillations,sin 2x = 2xi.e., a = -16xSince a = -xthe oscillations are SH in natureT =2π|xa| = 2π116 = π2secTalk to our academic expert!
Similar Questions
A uniform stick of mass M and length L is pivoted at its centre. Its ends are tied to two springs each of force constant K. In the position shown in figure, the strings are in their natural length. When the string is displaced through a small angle and released. The stick:
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