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:

  1. $\frac{1}{2} I(2 \omega)^{2}=\frac{1}{2} k x _1^{2}$

$\frac{1}{2}(2 I)(\omega)^{2}=\frac{1}{2} k x _2^{2}$

From Eqs. (i) and (ii), we have

$$ \frac{x _1}{x _2}=\sqrt{2} $$



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