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An object with mass 3.0 kg is attached to a spring with spring stiffness constant k =
Chapter 11, Problem 13P(choose chapter or problem)
Problem 13P
An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 280 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]
Questions & Answers
QUESTION:
Problem 13P
An object with mass 3.0 kg is attached to a spring with spring stiffness constant k = 280 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.]
ANSWER:
Solution 13P
Part (a)
Step 1 of 3:
Consider an object of mass m attached to a spring of force constant k is undergoing an SHM. The displacement of the mass from the mean position is assumed to x. We are going to find the amplitude of the motion when it is moving with a speed v using energy conservation.
The mass of the object m = 3 kg
The speed of the object v = 0.55 m/s
The force constant k = 280 N/m2
The displacement x = 0.020 m