A) \[12\times {{10}^{4}}\text{ }Nm\]
B) \[2\times {{10}^{6}}\text{ }Nm\]
C) \[2\times {{10}^{6}}\text{ }Nm\]
D) \[2\times {{10}^{3}}\text{ }Nm\]
Correct Answer: C
Solution :
[c] \[\omega _{2}^{2}=\omega _{1}^{2}+2\alpha \theta \] |
\[0={{\left( 2\pi \frac{3}{60} \right)}^{2}}-2\times 2\pi (2\pi )\alpha \] |
\[\alpha =\frac{9}{60\times 60\times 2}=\frac{1}{800}\] |
\[\tau =I\alpha =\frac{m{{r}^{2}}}{2}\alpha \] |
\[\frac{2\times 16\times {{10}^{4}}}{2}\times \frac{1}{800}=2\times {{10}^{-6}}\] |
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