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  • A uniform disc of mass and radius <img alt="\mathrm{R}" src="https://entrancecorner.oncodecogs.com/gi

A uniform disc of mass \mathrm{m} and radius \mathrm{R} rolls, without slipping down a fixed plane inclined at an angle \mathrm{30^{\circ}} to the horizontal. The linear acceleration of the disc is-
 

Option: 1

2


Option: 2

3.3


Option: 3

4


Option: 4

5.2


Answers (1)

best_answer

Use, \mathrm{ a=\frac{g \sin \theta}{1+\frac{k^2}{R^2}}}

\mathrm{ a=\frac{g \times \sin 30^{\circ}}{1+1 / 2}=\frac{2 g}{3} \times \frac{1}{2}=\frac{g}{3} }

\mathrm{ a=\frac{10}{3}=3.3 }

Hence option 2 is correct.




 

Posted by

Ajit Kumar Dubey

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