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Q.

A round object is rolling without slipping down a rough inclined plane having inclination 30o with horizontal with acceleration 2.5 m/s2. If g=10 m/s2, the object must be a

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a

thin ring

b

solid cylinder

c

solid sphere

d

None of these

answer is A.

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Detailed Solution

Acceleration a=gsin⁡θ(1+Ic/mR2)∴ 10sin⁡30o1+Ic/mR2=2.5⇒IC=mR2→Thin ring
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A round object is rolling without slipping down a rough inclined plane having inclination 30o with horizontal with acceleration 2.5 m/s2. If g=10 m/s2, the object must be a