Final answer:
Mass doubling in spring-mass system doesn't impact acceleration; Shortening a pendulum reduces its time period; Halving spring constant in harmonic oscillator requires halving the mass.
Explanation:
Acceleration of a mass-spring system: If the mass in a spring-mass system is doubled, the period of oscillation will remain the same, which means the acceleration will not change.
Effect of shortening a pendulum: Shortening a pendulum to half its length will decrease its time period as the period is directly proportional to the square root of the length.
Relation between spring constants and mass: When the spring constant of a harmonic oscillator is doubled, the mass must be halved for the frequency of motion to remain the same.
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