Final answer:
The problems involve the application of simple harmonic motion principles, such as Hooke's law, to springs and mass systems, determining their motion characteristics and related quantities like force constants and masses.
Step-by-step explanation:
The concept of Simple Harmonic Motion (SHM) in the field of Physics, particularly involving a spring system and its dynamics. When a spring is attached to the ceiling and pulled down from equilibrium and released, we expect it to exhibit SHM, where the amplitude is the maximum displacement from the equilibrium position.
The spring constant (k) and the mass (m) are critical in determining various properties of motion such as the force exerted by the spring, the new equilibrium position, the amplitude, and the maximum velocity of the object performing SHM. Additional problems are provided as examples, involving determining force constants, masses based on spring displacement, and the dynamics of a mass-spring system on a frictionless table. The provided questions encompass the application of Hooke's law, calculation of quantities like force constant, mass, amplitude, and other elements involved in simple harmonic motion.