Which of the following relationships between the acceleration a and the displacement x of a particle involve simple harmonic motion? (a) a = 0.7x (b) a = –200x2 (c) a = –10x (d) a = 100x3
F=−kx ma=−kx a=m−kx For SHM, acceleration should be directly proportional to displacement and sign should be negative. Hence, (c) represents SHM.
