Recent content by sazerterus

Well,I finally have an idea how to solve it.At first,we tilkt the beam through a small angle θ,The origin being at the centre of gravity.How,two triangles will be formed,one inside the water,and the other outsside.By calculation,it can be shown that the volume of the triangle is (x/8)*(l^2)θ...

Oh,yeah,the axes chosen as the centre of gravity as origin.Could u suggest me some books that would strengthen my concepts regarding the problem.

Well,the forces are applied at the centre of gravity and centre of buoyancy.If its stable,for small changes it will come back to its original state.But if its unstable,Then due to the unbalanced torque it will not come back.But how to determine the new centre of buoyancy,After i have tilted it a...

Okay,from what i Understand,due to changes in the centre of buoyancy there will be an unbalanced moment,as a result the stable config will change.Is my assumption correct?

What about the forces I mentioned?Are there any other forces?

Frankly speaking,it was a guess.Since I still cannot relate how the configuration will become unstable.Since it has square orientation,if the density continues to increase,it will just sink,won't it? Let me try to tell the forcess.First, of course, a downward force due to weight. Second,A...

Okay,so then the initial orientation,as i understand,is at first that the beam is parallel to the surface of water.as its density is increased,slowly its centre of gravity will come down,once it is just below the surface of water,the orientation will become unstable.So the answer is 500kg/m^3.is...

Well,if the second differential of the potential is negative,then the system will be unstable.But,how to find the equilibrium point.also,how to find the potential energy.

I am sorry.This wasn't quite helpful.Could you elaborate?

Homework Statement If a beam with square cross-section and very low density is placed in water, it will turn one pair of its long opposite faces horizontal. This orientation,however, becomes unstable as we increase its density. Find the critical density when this transition occurs. The...

Finally I got it! Thnx a lot.

Could you please show how to start the calculations?Could you provide setup of any similar problem?Thanks for the help.

Homework Statement Calculate the capacitance of a spherical capacitor of inner radius A and outer radius B which is filled with a di-electric varying as e=c+dcos^2θ . c and d are constants and θ is the angle made with the z axis.(also known as the polar angle) Homework Equations $C=εA/d$The...