Question

A cynical block on an air table vibrates horizontally in SHM with an amplitude of 8.0cm and a frequency of 1.50Hz. If a smaller block sitting on it is not to slide, what is the minimum value that the coefficient of static friction between the two blocks can have?

Answer 1

μ = 0.724

Step-by-step explanation:

maximum acceleration for SHM

a = ω²A

ω = 2πf

a = 4π²f²A

a = 4π²(1.50)²(0.080) = 7.106... m/s²

μ = F/N = ma/mg = a/g = 7.106/9.81 = 0.7243...

I'm cynical that a block can be cynical. Wassa madder, doesn't trust anyone?