City Guilds Model Questions Vol1 2020 Engineering Question 45

Practice objective / multiple choice question 45 from the 2020 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2020 Engineering Objective / Multiple Choice Medium Difficulty
Question 45 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2020 • ENGINEERING • objective

A mass‑spring oscillator has period \(T=0.5\) s when a mass \(m=0.2\) kg is attached. When the mass is increased to \(0.5\) kg, the period becomes \(0.8\) s. Assuming the spring constant \(k\) does not change, determine (i) the spring constant \(k\) (in N·m⁻¹, to one decimal place) and (ii) the natural angular frequency \(\omega\) (in rad·s⁻¹, to two decimal places) for the original 0.2 kg system.

Answer Options

A. k = 25.0 N·m⁻¹; ω = 11.18 rad·s⁻¹
B. k = 40.0 N·m⁻¹; ω = 14.14 rad·s⁻¹
Correct Answer C. k = 31.6 N·m⁻¹; ω = 12.57 rad·s⁻¹
D. k = 31.6 N·m⁻¹; ω = 13.00 rad·s⁻¹
Correct Answer
C
Correct Option:
k = 31.6 N·m⁻¹; ω = 12.57 rad·s⁻¹

About This Question

This is City Guilds Model Questions Vol1 2020 Engineering Question 45. It is one of the objective questions from the 2020 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Medium .

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