A particle moves along the -axis under the force (SI units).
PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics
Problem
A particle moves along the x-axis under the force F=−6x+2x2 (SI units).
(i) Determine the position(s) where the net force on the particle is zero.
(ii) For small displacements about a stable equilibrium, write the approximate expression for the restoring force and hence state the nature of the motion. Also find the effective spring constant for these small oscillations.