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  • A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should by unbinding the strings to

A solid cylinder length is suspended symmetrically through two massless strings, as shown in the figure. The distance from the initial rest position, the cylinder should by unbinding the strings to achieve a speed of 4 \mathrm{~ms}^{-1}, is ________\mathrm{cm} .( take \mathrm{g}=10 \mathrm{~ms}^{-2})

Option: 1

120


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{2 T R=I \alpha=\frac{M R^2}{2} \alpha}

\mathrm{T=\frac{M R \alpha}{4} \rightarrow(1)}

\mathrm{M g-2 T=M a_{\mathrm{cm}} \rightarrow \text { (2) }}

\mathrm{a_{\mathrm{cm}}=R \alpha \text { (for pure rolling motion) }}

\mathrm{M g=\frac{3 M a_{\mathrm{cm}}}{2}}

\mathrm{a_{c m}=\frac{29}{3}}

\mathrm{v^2 =u^2+2 a s}

\mathrm{16^0=0+2 \times \frac{29}{3}s}

\mathrm{s=1.2m}

\mathrm{s=120cm}

Posted by

Divya Prakash Singh

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