KVPY Government Jobs Exams

Two masses m1 and m2 connected by a spring of spring constant k rest on a frictionless surface. If the
masses are pulled apart and let go, the time period of oscillation is

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KVPY Other Question

A pen of mass 'm' is lying on a piece of paper of mass M placed on a rough table. If the coefficient of
friction between the pen and paper, and, the paper and table are μ1 and μ2, respectively, then the minimum
horizontal force with which the paper has to be pulled for the pen to start slipping is given by-
(A) (m + M) (μ1 + μ2) g (B) (mμ1 + Mμ2)g
(C) {mμ1 + (m + M) μ2} g (D) m(μ1 + μ2) g A bead of mass m is attached to the mid-point of a taut, weightless string of length l and placed on a
frictionless horizontal table Under a small transverse displacement x, as shown, if the tension in the string is T, then the frequency of
oscillation is-