A) \[\frac{{{k}_{1}}}{{{k}_{2}}}\]
B) \[\sqrt{\frac{{{k}_{1}}}{{{k}_{2}}}}\]
C) \[\frac{{{k}_{2}}}{{{k}_{1}}}\]
D) \[\sqrt{\frac{{{k}_{2}}}{{{k}_{1}}}}\]
Correct Answer: D
Solution :
Maximum velocities are equal Hence, \[{{a}_{1}}{{\omega }_{1}}={{a}_{2}}{{\omega }_{2}}\] \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{\omega }_{2}}}{{{\omega }_{1}}}\] \[=\frac{2\pi \text{/}{{n}_{2}}}{2\pi \text{/}{{n}_{1}}}\] \[=\frac{{{T}_{2}}}{{{T}_{1}}}=\frac{2\pi \sqrt{{{m}_{1}}\text{/}{{k}_{1}}}}{2\pi \sqrt{m\text{/}{{k}_{2}}}}\] \[=\sqrt{\frac{{{k}_{2}}}{{{k}_{1}}}}\]You need to login to perform this action.
You will be redirected in
3 sec