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2. A 2.10 kg frictionless block is attached to a horizontal spring as shown. Spring constant k = 206.12 N/m. At t = 0, the spring is compressed, and the position is - 0.226 m, and the velocity is -4.20 m/s toward the left in the negative x direction. Position x as a function of t is: x = A*cos (ot + 0), where A is the amplitude of motion and oo is the angular frequency e is called the phase constant that will also be addressed below. (a) compute amplitude A. Use conservation of energy to (b) How much farther from the point shown will the block move before it momentarily comes to rest before turning around? What is the period T of the motion? If the mass of this problem was tripled (c) (d) to 6.30 kg, how would your answer to part (c) change? (e) Use your trigonometry background to find phase constant . t = 0 k -4.20 m/s -0.226 m x = 0

2. A 2.10 kg frictionless block is attached to a horizontal spring as shown. Spring constant k = 206.12 N/m. At t = 0, the spring is compressed, and the position is - 0.226 m, and the velocity is -4.20 m/s toward the left in the negative x direction. Position x as a function of t is: x = A*cos (ot + 0), where A is the amplitude of motion and oo is the angular frequency e is called the phase constant that will also be addressed below. (a) compute amplitude A. Use conservation of energy to (b) How much farther from the point shown will the block move before it momentarily comes to rest before turning around? What is the period T of the motion? If the mass of this problem was tripled (c) (d) to 6.30 kg, how would your answer to part (c) change? (e) Use your trigonometry background to find phase constant . t = 0 k -4.20 m/s -0.226 m x = 0

Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 47AP: A particle with a mass of 0.500 kg is attached to a horizontal spring with a force constant of 50.0...
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2. A 2.10 kg frictionless block is attached to a horizontal spring as shown. Spring constant k = 206.12 N/m. At t = 0, the spring is compressed, and the position is - 0.226 m, and the velocity is -4.20 m/s toward the left in the negative x direction. Position x as a function of t is: x = A*cos (@t + 0), where A is the amplitude of motion and o is the angular frequency e is called the phase constant that will also be addressed below. (a) compute amplitude A. Use conservation of energy to (b) How much farther from the point shown will the block move before it momentarily comes to rest before turning around? What is the period T of the motion? If the mass of this problem was tripled (c) (d) to 6.30 kg, how would your answer to part (c) change? (e) Use your trigonometry background to find phase constant . t = 0 k -4.20 m/s -0.226 m x = 0
Transcribed Image Text:2. A 2.10 kg frictionless block is attached to a horizontal spring as shown. Spring constant k = 206.12 N/m. At t = 0, the spring is compressed, and the position is - 0.226 m, and the velocity is -4.20 m/s toward the left in the negative x direction. Position x as a function of t is: x = A*cos (@t + 0), where A is the amplitude of motion and o is the angular frequency e is called the phase constant that will also be addressed below. (a) compute amplitude A. Use conservation of energy to (b) How much farther from the point shown will the block move before it momentarily comes to rest before turning around? What is the period T of the motion? If the mass of this problem was tripled (c) (d) to 6.30 kg, how would your answer to part (c) change? (e) Use your trigonometry background to find phase constant . t = 0 k -4.20 m/s -0.226 m x = 0
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