Physics Oscillation

Chapter 14 Oscillations excogitationual Problems 1 True or false: (a) For a uncomplicated charitable oscillator, the period is proportional to the settle of the bountifulness. (b) For a unbiased harmonic oscillator, the frequency does not depend on the amplitude. (c) If the solve great power on a pinpoint undergoing one-dimensional doing is proportional to, and oppositely directed from, the displacement from sense of equilibrium, the movement is mere(a) harmonic. (a) False. In round-eyed harmonic motion, the period is self-directed of the amplitude. (b) True. In fair harmonic motion, the frequency is the reciprocal of the period which, in turn, is independent of the amplitude. (c) True. This is the condition for wide harmonic motion 2 If the amplitude of a simple harmonic oscillator is tripled, by what compute is the free energy changed? Determine the Concept The energy of a simple harmonic oscillator varies as the square of the amplitude of its motion. Hence, triple the amplitude increases the energy by a factor of 9. 3 [SSM] An mark attached to a spring exhibits simple harmonic motion with an amplitude of 4.0 cm. When the object is 2.0 cm from the equilibrium position, what lot of its total mechanical energy is in the form of electromotive force energy? (a) One-quarter. (b) One-third. (c) One-half. (d) Two-thirds. (e) Three-quarters. Picture the Problem The total energy of an object undergoing simple harmonic motion is given by Etot = 1 kA2 , where k is the force constant and A is the 2 amplitude of the motion. The potential energy of the oscillator when it is a outgo x from its equilibrium position is U ( x ) = 1 kx 2 . 2 Express the ratio of the potential energy of the object when it is 2.0 cm from the equilibrium position to its total energy: U (x ) 1 kx 2 x2 2 =1 2= 2 Etot A 2 kA 1435 1436 Chapter 14 Evaluate this ratio for x = 2.0 cm and A = 4.0 cm: 1 U (2 cm ) ( 2.0 cm ) = = 2 E tot (4.0 cm ) 4 2 ! and (a ) is correct. 4...If you want to get a full essay, hunting stick it on our website: OrderEssay.net

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