A wooden block of mass m is kept on a piston that can perform vertical vibrations of adjustable freq
Автор: Understanding.Concepts.Of.Physics
Загружено: 2026-02-14
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Описание:
A wooden block of mass m is kept on a piston that can perform vertical vibrations of adjustable frequency and amplitude. During vibrations, we don’t want the block to leave the contact with the piston. How much maximum frequency is possible if the amplitude of vibrations is restricted to 25 cm? In this case, how much is the energy per unit mass of the block? (g ≈ π² ≈ 10 m s⁻²)
[Ans: nₘₐₓ = 1/s, E/m = 1.25 J/kg]
A wooden block is placed on a vertically vibrating piston. The amplitude is restricted to 25 cm, and the block must not lose contact with the piston.
👉 What is the maximum possible frequency?
👉 What is the energy per unit mass of the block?
In this video, we solve this important SHM (Simple Harmonic Motion) concept-based question using the condition for contact and acceleration comparison.
Given:
• Amplitude = 25 cm
• g \approx \pi^2 \approx 10 \, m/s^2
Final Answer:
• Maximum Frequency = 1 Hz
• Energy per unit mass = 1.25 J/kg
Perfect for:
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