Rotation 5 Question 16
28. The ratio $\frac{x _1}{x _2}$ is
$(2007,4$ M)
(a) 2
(b) $1 / 2$
(c) $\sqrt{2}$
(d) $\frac{1}{\sqrt{2}}$
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Answer:
Correct Answer: 28. (c)
Solution:
- $\frac{1}{2} I(2 \omega)^{2}=\frac{1}{2} k x _1^{2}$
$\frac{1}{2}(2 I)(\omega)^{2}=\frac{1}{2} k x _2^{2}$
From Eqs. (i) and (ii), we have
$$ \frac{x _1}{x _2}=\sqrt{2} $$