CBSE Class 11-science Answered
The ratio of the accelerations for a solid sphere(mass 'm' and radius 'r') rolling down an incline of angle 'theta' without slipping and slipping down the incline without rolling is:a)7:5b)5:7c)2:3d)2:5The above question was asked in AIPMT 2014.
Asked by Renuka Ganesh | 06 May, 2014, 09:49: PM
Expert Answer
For slipping motion on an inclined plane the acceleration for a solid sphere making an angle θ is given by
For rolling motion of a sphere without slipping :
The acceleration of a sphere of mass m, radius r and moment of inertia I is
For a uniform sphere we know that
Substituting this we get that the ratio
Hence the ratio is 5:7
Option b) is the correct answer.
Answered by Jyothi Nair | 07 May, 2014, 10:32: AM
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