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  • A solid disc of radius 'a' and mass 'm' rolls down without slippingon an inclined plane making an angle of  with the horizontal. The acceleration of the disc will be <img a

A solid disc of radius 'a' and mass 'm' rolls down without slippingon an inclined plane making an angle of \theta with the horizontal. The acceleration of the disc will be \frac{2}{b}g \sin \theta where b is _________ (rounded off to the nearest integer) (g = accelertaion due to gravity) ( \theta = angle shown in th =e diagram)
Option: 1 3
Option: 2 4
Option: 3 5
Option: 4 6

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\begin{array}{l} \mathrm{a}=\frac{\mathrm{g} \sin \theta}{1+\frac{\mathrm{I}}{\mathrm{mR}^{2}}}=\frac{\mathrm{g} \sin \theta}{1+\frac{1}{2}}=\frac{2}{3} \mathrm{~g} \sin \theta \\ \\ \Rightarrow \mathrm{b}=3 \end{array}

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