Saved Bookmarks
| 1. |
A system of springs with their spring constants are as shown in figure. What is the frequency of oscillations of the mass m ? |
|
Answer» Here, `k_(3)` and `k_(4)` are in parallel and they together are in series with `k_(1)` and `k_(2)` . The effective spring constant of the system is `(1)/(K)=(1)/(k_(1))+(1)/(k_(2))+(1)/((k_(3)+k_(4)))` `=(k_(2)(k_(3)+k_(4))+k_(1)(k_(3)+k_(4))+k_(1)k_(2))/(k_(1)k_(2)(k_(3)+k_(4)))` or `K=(k_(1)k_(2)(k_(3)+k_(4)))/((k_(1)+k_(2))(k_(3)+k_(4))+k_(1)k_(2))` Frequency of oscillation, `v=(1)/(2pi)sqrt((K)/(m))` `=(1)/(2pi)sqrt((k_(1)k_(2)(k_(3)+k_(4)))/({(k_(1)+k_(2))(k_(3)+k_(4))+k_(1)k_(2)}m))` |
|