Question Detail

PHY 104 PHY 104 Past Questions Objective Question
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Question

A copper spring suspended from a fixed point supports a scale pan of mass 0.05 kg at equilibrium. The scale pan descends 40 mm to a new equilibrium position when a 1 N weight is placed on it. The scale pan, with 1 N weight on it, is pulled a distance of 15 mm downwards from equilibrium and then released. Calculate the time period of the oscillations and the maximum speed of the scale pan.
Options
A 4.9 s & 0.195 m/s
B 0.49 s & 1.95 m/s
C 4.9 s & 1.95 m/s
D 0.49 s & 0.195 m/s
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

k = F/x = 1/0.04 = 25 N/m. Total mass = 0.05 + 1/9.8 = 0.152 kg. T = 2π√(m/k) = 2π√(0.152/25) = 0.49 s. v_max = ωA = (2π/T)A = (2π/0.49) × 0.015 = 0.192 m/s ≈ 0.195 m/s.

Hint

Use T = 2π√(m/k) and v_max = ωA.

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 939 of 947
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