How much mass must be added to the object to change the period to 2. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. If the spring constant of a simple harmonic oscillator is doubled, by what factor will the mass of the system need to change in order for the frequency of the motion to remain the same?ģ3. The object’s maximum speed occurs as it passes through equilibrium. When displaced from equilibrium, the object performs simple harmonic motion that has an amplitude X and a period T. What force constant is needed to produce a period of 0.500 s for a 0.0150-kg mass?ģ2. 1: An object attached to a spring sliding on a frictionless surface is an uncomplicated simple harmonic oscillator. A type of cuckoo clock keeps time by having a mass bouncing on a spring, usually something cute like a cherub in a chair. (b) At how many revolutions per minute is the engine rotating?ġ6.3: Simple Harmonic Motion: A Special Periodic Motionģ1. (a) How fast is a race car going if its eight-cylinder engine emits a sound of frequency 750 Hz, given that the engine makes 2000 revolutions per kilometer? What is the frequency of these vibrations if the car moves at 30.0 m/s?Įach piston of an engine makes a sharp sound every other revolution of the engine. Each crevice makes a single vibration as the tire moves. A tire has a tread pattern with a crevice every 2.00 cm.
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