A) \[\frac{mg}{k}\sqrt{\left( 1+\frac{2\,hk}{mg} \right)}\]
B) \[\frac{mg}{k}\]
C) \[\frac{mg}{k}\left[ 1+\sqrt{\left( 1+\frac{2\,hk}{mg} \right)} \right]\]
D) \[\frac{mg}{k}-\frac{mg}{k}\left[ \sqrt{\left( 1-\frac{2hk}{mg} \right)} \right]\]
Correct Answer: A
Solution :
\[mg(h+y)=1\text{/}2\,x{{y}^{2}}\] \[y=\frac{mg}{k}+\frac{mg}{k}\left[ \sqrt{1+\frac{2hk}{mg}} \right]\] So, amplitude of vibration \[a=y-mg\text{/}k\] \[=\frac{mg}{k}\left[ \sqrt{1+\frac{2hk}{mg}} \right]\]You need to login to perform this action.
You will be redirected in
3 sec