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  • A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms -1 goes up an inclined plane which makes an angle of with the horizontal plane, without slipping. How long

A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms -1 goes up an inclined plane which makes an angle of 30^{o} with the horizontal plane, without slipping. How long will the sphere take to return to the starting point  A ?
 
Option: 1 0.60\; s
Option: 2 0.57\; s
Option: 3 0.80\; s  
Option: 4 0.52\; s

Answers (1)

best_answer

\begin{aligned} &\text { } \mathrm{a}=\frac{\mathrm{g} \sin \theta}{1+\frac{\mathrm{I}}{\mathrm{mR}^{2}}}=\frac{5}{7} \times \frac{10}{2}=\frac{25}{7}\\ \\ &\mathrm{t}=\frac{2 \mathrm{v}_{0}}{\mathrm{a}}=\frac{2 \times 1 \times 7}{25}\\ \\ &=0.56 \ Sec \end{aligned}

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Deependra Verma

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