Questions
A sphere of radius r is placed on a concave surface of radius of curvature 5 r, which itself is placed on a horizontal table as shown in fig. (3). When the sphere
is displaced from the equilibrium position it describes S.H.M. of period
detailed solution
Correct option is B
Here, restoring force = - M g sin θ Considering the displaced position, we havesinθ=X/(5r−r)=X/4r ∴ Ma=−Mg(x/4r) a=−(g/4r)X so T=2π4rg=4πrgTalk 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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