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There is a uniform square plate of side \sqrt{3} \mathrm{~m}^{3} and mass '2kg'. This plate is to be rotated about one of its corner and perpendicular to its plane. If required angular acceleration of the plate is 3 \sqrt{3} \mathrm{rad} / \mathrm{s}^{2} then find the required value of the force applied at corner C, perpendicular to side BC.

Option: 1

12 N


Option: 2

12 \sqrt{3} \mathrm{~N}


Option: 3

4 \sqrt{3} \mathrm{~N}


Option: 4

4N


Answers (1)

best_answer

 I_{A}=\frac{2}{3} M \theta^{2} \\

 I_{A}=\frac{2}{\not 3} \times 2 \times \not 3 \\

I_{A}=4 \mathrm{~kg}-\mathrm{m}^{2} \\

\tau=I_{A} \alpha \\

\alpha=\frac{\tau}{I_{A}} \\

\alpha=\frac{\sqrt{3} \mathrm{~F}}{4} \\

F=\frac{4} {\sqrt{\not 3}} \times 3 {\sqrt{\not 3}} \\

 F=12N

Posted by

Kuldeep Maurya

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