Question

10. [1pt] Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true? (E.g., if the first is true, and the others are not, enter TFFFF.) i. Tripling the mass will sextuple the period. ii. Doubling the spring constant will halve the period. iii. Doubling the amplitude will halve the frequency. iv. Doubling the amplitude will not change the frequency. v. Quadrupling the mass will halve the frequency.

          10. [1pt] Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true?

(E.g., if the first is true, and the others are not, enter TFFFF.)

i. Tripling the mass will sextuple the period.
ii. Doubling the spring constant will halve the period.
iii. Doubling the amplitude will halve the frequency.
iv. Doubling the amplitude will not change the frequency.
v. Quadrupling the mass will halve the frequency.

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10. [1pt] Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface, and attached to a massless linear spring. Which of the following statements are true?

(E.g., if the first is true, and the others are not, enter TFFFF.)

i. Tripling the mass will sextuple the period.
ii. Doubling the spring constant will halve the period.
iii. Doubling the amplitude will halve the frequency.
iv. Doubling the amplitude will not change the frequency.
v. Quadrupling the mass will halve the frequency.

Added by Kyle T.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

06/06/2022

Step 1

Tripling the mass will sextuple the period: False. The period of a simple harmonic oscillator is given by T = 2π√(m/k), where m is the mass and k is the spring constant. If we triple the mass, the period will increase by a factor of √3, not 6. Show more…

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Consider a simple harmonic oscillator made of a mass sliding on a frictionless surface and attached to a massless linear spring. Which of the following statements are true? (E.g., if the first is true, and the others are not; enter TFFFF) Tripling the mass will sextuple the period. Doubling the spring constant will halve the period. Doubling the amplitude will halve the frequency. Doubling the amplitude will not change the frequency. Quadrupling the mass will halve the frequency.

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