A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 10cm and releases it at time ? = 0 s. The spring and object begin to oscillate under simple harmonic motion. a) Find the position equation of the object and the object’s position at ? = 2s. b) Find the velocity equation of the object and the object’s velocity at ? = 2s. c) Find the acceleration equation of the object and the object’s acceleration at ? = 2?. Answers: −6.9 ??, −19cm/s, 52 cm/s^2
A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 10cm and releases it at time ? = 0 s. The spring and object begin to oscillate under simple harmonic motion. a) Find the position equation of the object and the object’s position at ? = 2s. b) Find the velocity equation of the object and the object’s velocity at ? = 2s. c) Find the acceleration equation of the object and the object’s acceleration at ? = 2?. Answers: −6.9 ??, −19cm/s, 52 cm/s^2
A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 10cm and releases it at time ? = 0 s. The spring and object begin to oscillate under simple harmonic motion. a) Find the position equation of the object and the object’s position at ? = 2s. b) Find the velocity equation of the object and the object’s velocity at ? = 2s. c) Find the acceleration equation of the object and the object’s acceleration at ? = 2?. Answers: −6.9 ??, −19cm/s, 52 cm/s^2
A spring hangs vertically from a ceiling. The spring constant of the spring is k=15 N/m. A 2kg object has been attached to the spring and the spring has already come to its new equilibrium. Someone pulls the object down by 10cm and releases it at time ? = 0 s. The spring and object begin to oscillate under simple harmonic motion. a) Find the position equation of the object and the object’s position at ? = 2s. b) Find the velocity equation of the object and the object’s velocity at ? = 2s. c) Find the acceleration equation of the object and the object’s acceleration at ? = 2?. Answers: −6.9 ??, −19cm/s, 52 cm/s^2
Definition Definition Special type of oscillation where the force of restoration is directly proportional to the displacement of the object from its mean or initial position. If an object is in motion such that the acceleration of the object is directly proportional to its displacement (which helps the moving object return to its resting position) then the object is said to undergo a simple harmonic motion. An object undergoing SHM always moves like a wave.
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