Match the following –
Column – I | Column – II |
(i) A cone resting its slant surface touching against smooth horizontal floor | [A]Stable equilibrium |
(ii) A car moving on smooth circular track of banking angle '' with constant speed without its tyre slipping | [B] Unstable equilibrium |
(iii) A rigid body suspended in laboratory in such a manner that its centre of gravity vertically above point of suspension & its circular motion lies vertically below point of suspension | [C]Neutral equilibrium |
(iv) A uniform cube balanced on a horizontal floor on one its edge (only a force parallel to horizontal plane can be applied) | [D] None of the above |
Text Solution
Verified by ExpertsB
(i) A cone resting on its slant surface against a smooth horizontal floor represents Stable equilibrium because any small displacement will cause the cone to return to its original position. Hence, it matches with option [A].
(ii) A car moving on a smooth circular track with a banking angle at constant speed without slipping maintains a balance of forces and is considered to be in Unstable equilibrium, as any deviation from this will cause it to slip. Hence, it matches with option [B].
(iii) A rigid body suspended such that its center of gravity is directly above the suspension point will show Neutral equilibrium as it can be displaced and will remain in new equilibrium position. Therefore, it matches with option [C].
(iv) A uniform cube balanced on one edge is in a precarious state where any small force can tip it over, considered to be Unstable equilibrium, but here it is listed as None of the above. Thus, it matches with option [D].
Final Matching:
(i) - [A]
(ii) - [B]
(iii) - [C]
(iv) - [D].
Therefore, the correct answer is [B] for the (ii) scenario.
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