Questions
A bead of mass m can slide on a frictionless wire as shown in figure. Because of the given shape of the wire, near P, the bottom point, it can be approximated as parabola. Near P, the potential energy of the bead is given U = where c is a constant and x is measured from P. The bead, if displaced slightly from point P will oscillate about P. The period of oscillation is
detailed solution
Correct option is B
U = Cx2 F = -dUdx ⇒ ma = - 2cx ⇒a =-2cmx⇒ω = 2cm ⇒ T = 2πω = 2πm2cTalk to our academic expert!
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The identical springs of constant ‘K’ are connected in series and parallel as shown in figure A mass M is suspended from them. The ratio of their frequencies of vertical oscillations will be
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