A plank on which a mass of mass m is put, is executing vertical SHM according to the equation y = sinωt + √3cosωt. At what time does the mass break of the plank and what is the value for the mass to break off ?
The modified equation of motion looks like: y = 2sin(ωt + π/3)
Maximum chance of break off is at extreme position. So mg - N = mω2A
The Attempt at a Solution.[/B]
My doubt is that why does the maximum chance for the mass to break off occur at an extreme position of the plank and that too at the positive extreme (A) and not the negative extreme (-A)? Can it be explained quantitatively rather than qualitatively?