Yes, the ball will slide on the surface and not rotate. The force of constraint is normal to the surface. There is no friction to overcome. The virtual work done by the forces of constraint is zero. The constraints are always defined to ensure this.
In statics, since the total force is zero...
The example I've seen is a ball rolling down a frictionless surface. Since there is no friction, the work done by the surface is zero. That simplifies the math if you're doing Langrangian mechanics.
What quantity are you averaging? You can reduce measurement error by averaging the actual measurements you make. Is that what you are doing here?
Also, what mode(s) do you expect to find at the first resonance position? Hint: the tuning fork produced a single frequency.
Maybe the...
Hi, welcome to PF. Take a look at the worked examples here:
http://tutorial.math.lamar.edu/Classes/Alg/SolveLinearEqns.aspx
They are similar to yours. If you get stuck post your work here.
It's so badly worded. All chemical bonds/intermolecular forces are electrical. It's common to say that solids are held together by electrostatic forces in the sense that electrons are shared across atoms. (Think covalent, ionic, metallic.)
Those forces aren't what is asked for though, because...
Cuvet length is 1 cm by convention. Molar absorptivity is going to vary with temperature and pH as you can see here:
http://pubs.acs.org/doi/full/10.1021/ol016823q
Unfortunately they don't report a value for phenolphthalein but estimating from Fig. 6, e should be about 1770/(M.cm) at 20C...