In a simple harmonic motion, which of the following quantities are always equal to zero?

Step-by-step solution

In simple harmonic motion, the restoring force F is proportional to the displacement r from the mean position and is directed opposite to it. F = -k r By Newton's second law, the acceleration a is given by: a = F m = - ^2 r Since F , a , and r are always collinear (either parallel or anti-parallel to each other), the cross product of any two of these vectors is always zero. F a = 0 F r = 0 a r = 0 The velocity v and displacement r are collinear in linear SHM, so their dot product v r is not always zero (it is zero