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PHY 104 Oscillatory Motion Objective Question
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Question

A cylinder of mass m and cross-sectional area A floats upright in a fluid of density ρ. Ignoring all forces other than buoyancy, what is the nature of its vertical motion when disturbed?
Options
A It executes SHM with a period independent of <i>ρ</i>.
B It executes SHM, and its period depends on <i>ρ</i>.
Correct Answer
C It does not execute SHM.
D It executes SHM with a period inversely proportional to <i>A</i>.
Correct Answer

Option B is the correct answer.

Detailed Explanation

The 'Floating Object Oscillating in a Fluid' section on page 12 describes this motion as SHM. Equation (28) gives ω² = Aρg/m. Since T = 2π/ω, the period T will depend on the fluid density ρ.

Hint

The buoyant force, which acts as the restoring force, is directly proportional to the fluid density.

Question Info

Course: PHY 104
Topic: Oscillatory Motion
Type: Objective
Difficulty: Not specified
Question 266 of 947
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