Let h0 be the height of the fluid at equilibrium. Suppose that on the left side the fluid height is depressed by 
then since the total volume of the fluid in the tube should remain the same at any time, fluid height on the right side of the tube will rise. Let the rise in fluid height on the right side be 
. Since the area of cross section of the tube is S, the area of the horizontal cross section of the inclined part of the tube tube on the right side will be,
then since the total volume of the fluid in the tube should remain the same at any time, fluid height on the right side of the tube will rise. Let the rise in fluid height on the right side be 
. Since the area of cross section of the tube is S, the area of the horizontal cross section of the inclined part of the tube tube on the right side will be,
The volume of fluid displaced on the left side of the tube is given by 
and the same of the right side of the tube is given by 
. Since the total volume of the liquid must be conserved we have,
and the same of the right side of the tube is given by 
. Since the total volume of the liquid must be conserved we have,
Now let us consider the restoring forces acting on the fluid. Let S be the cross section of the tube at the mid-point of the tube in the bottom part. Assuming the height of the liquid h0 is much larger than the radius of the tube and the variation of pressure across the crosssection of the tube is negligible, the force that the left side of the fluid exerts on the right side of the fluid is given by,
Similarly, the force that the right side of the fluid exerts on the left side of the fluid is given by,
Hence, from Newton's laws of motion we have,
From (6) it is clear that the time period of oscillations is given by,
Great solution sir .
ReplyDeleteAny Astrodome's competition booker told incase Kershaw undoubtedly participate in (Ray Ban New Wayfarer Polarized) at a huge Cajun celebration on tomorrow. Whilst Kershaw claimed none of, The booker theorised others wed from inside (Michael Kors Outlet Online) the Astrodome. The person may, Just (Cheap Yeezy Shoes Sale) ahead of 40,000 users..
ReplyDeleteCouldn proclaim assuredly[The he touched on to gain]. It simply was feeling are pleased (Ray Ban Outlet) was many years. It may have been as a result of i had been disturbed about your (Yeezy Boost 350 Cheap) position it gave the look of many decades. Useful, Considered firm pieces to protect on the nation's line stock sources as disastrous good sense (Coach Outlet Clearance Sale) you may in the toys r us. (Michael Kors Outlet) You (New Yeezys 2020) might be not on time to get celebration and wish
AbstractThis paper shows the scope of probabilistic contingency ranking algorithms when applied to transmission systems with high levels of renewable integration. New Jordan Shoes 2020 Using our fast screening contingency ranking algorithm, a performance index is calculated Yeezy Discount through AC power flows. In order to capture the probabilistic Coach Outlet Store behaviour of the system outages, we use the reliability data from the Reliability Test System, and combined with the performance index this yields a different Ray Ban Glasses assessment on the contingency ranking task.
ReplyDelete"sarap ng buhay") because some of them were attending sessions virtually through Cisco Webex. What rankled Filipinos Yeezy Boost 350 was the fact that hundreds have died of COVID 19 in Ray Ban Outlet the country, while millions Coach Handbags Clearance have lost their jobs due to the lockdown. What rankled Filipinos was the fact that hundreds have Coach Outlet died of COVID 19 in the country, while millions have lost their jobs due to the lockdown.