A solid disc of radius ‘a’ and mass ‘m’ rolls down without slipping on an inclined plane making an angle θ with the horizontal. The acceleration of the disc will be 2b g sinθ where b is ______(Round off to the Nearest Integer)(g=acceleration due to gravity θ=angle as shown in figure)

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answer is 3.

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Detailed Solution

Translation , mgsin⁡θ−f=macmRotation , f.a=ma22⋅αPure Rolling , acm=αa On solving acm=23gsin⁡θ ⇒b=3

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