Find the moment of inertia of a hollow cone of mass 'M', and base radius 'R'.
PS: I know I'm repeating this problem.
Simple Mechanics:
Here is a practice problem:
2 balls each of mass 'm' are released from the top inside a tube of mass 'M' and radius 'R'. We require that the tube lifts from the ground when the 2 balls make an angle 60* with the horizontal as shown.
Find M/m required to satisfy this requirement.
Light:
A solid iron sphere of radius=1m is just submerged in a water tank. A point source of light is kept vertically above its center at a distance 1m from the water surface.
Find the area of the sphere's shadow. Refractive index of water=1.414.
Here's a Hint
Lessons in Charge Distributions - I
A charge 'q' is placed at a distance 'a' from a very large metal sheet. For a=10μm and q=6nC, report the best integral approximation of the force between the charge and the sheet in Newtons. Assume that area of the metal sheet is of the order ~ 10m^2.
Click here for the solution to the Falling Raindrop question.
Surface Tension:
A liquid rises to 15cm in a thin capillary. The radius of curvature of the liquid's surface (in th capillary) is 1mm.Now, the capillary is cut at a the 7cm mark.
1)What is the new height of the liquid in the capillary?
2)What is the radius of curvature of the liquid surface?
Electrostatic Experience
In a 3-D space, the potential depends only on 'x' and is given by V(x,y,z)=-2*x^n. In other words, the potential is proportional to the nth power of the x coordinate.
In this case, find P(x,y,z), where 'P' stands for the volume charge density.
Click here for the solution
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