The edge of an aluminium cube is `10cm` long. One face of the cube is firmly fixed to a vertical wall. A mass of `100kg` is then attached to the opposite face of the cube. The shear modulus of aluminium is `15GPa`. What is the vertical deflection of this face?

There is one spot at one side of the cube, two on another side, three on the third side and so on. There are spots on all the six faces, in this order. An other cube which is marked in the same way is taken. What is the probability that the sum of the spots on the upper faces is 9?

There is one spot at one side of the cube, two on another side, three on the third side and so on. There are spots on all the six faces, in this order. An other cube which is marked in the same way is taken. What is the probability that the sum of the spots be a prime number?

What is the net flux of the uniform electric field of exercise 1.15 through a cube of side 20cm oriented so that its faces are paralles to the coordinate planes?

There is one spot at one side of the cube, two on another side, three on the third side and so on. There are spots on all the six faces, in this order. An other cube which is marked in the same way is taken.What is the probability that the sum of the spots be one?