The amplitude of oscillations of the spring pendulum is 8 cm. At what displacement from the equilibrium
| September 7, 2021 | education
The amplitude of oscillations of the spring pendulum is 8 cm. At what displacement from the equilibrium position is the kinetic energy of the pendulum 3 times greater than the potential one?
Data: A (amplitude of oscillation of the specified spring pendulum) = 8 cm = 0.08 m; Ek / Ep (pendulum energy ratio) = 3.
To calculate the required displacement from the equilibrium of the specified spring pendulum, we use the equality: k * A ^ 2/2 = Ek + Ep.
k * A ^ 2/2 = 4Ep.
k * A ^ 2/2 = 4 * k * x ^ 2/2.
A ^ 2 = 4 * x ^ 2.
x = √ (A ^ 2/4) = √ (0.08 ^ 2/4) = 0.04 m.
Answer: The displacement of the specified spring pendulum should be 0.04 m.
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