1. The problem statement, all variables and given/known data 1) A string is stretched between two walls. When its plucked, a transverse wave travels from one end to the other. The length of the string is l, the mass of the string is m. There is a tensional force of F newtons present in the string. The velocity of the resultant wave is v m/s. It is reasonable to assume that there is some relationship between the wave velocity and the other parameters such as: v=k.F^x.l^y.m^z (where k is some dimensionless constant) Using dimensional analysis, determine the likely relationship. 2) A sphere of radius a is dropped into a viscous liquid with a coefficient of viscosity n and its velocity at an instant is v. The frictional force can be partly found by dimensional analysis. F=k.a^x.n^y.v^z (where k is a dimensionless constant) The dimensions of the variables are: [F] = MLT^-2 [a] = Lk [n] = ML^-1T^-1 [v] = LT^-1 Use dimensional analysis to find a likely relationship between the variables. 3. The attempt at a solution This isn't coursework or homework, I have just been looking at past papers and a question similar to the ones I've posted always comes up. Most questions, I have some sort of an idea about, but dimensional analysis questions always stump me. Any help with methods on doing these types of questions would be appreciated.