Use vibration to calculate mass in space

AI Thread Summary
An astronaut in space can calculate mass using a vibrating chair attached to a spring with a known spring constant of 1200 N/m, an amplitude of 0.50 m, and a speed of 2.0 m/s at equilibrium. The equation of motion for simple harmonic motion can be applied, with the general solution incorporating these known values to derive the mass. An alternative method involves timing the oscillation period with a stopwatch to determine the frequency, which can then be used to calculate mass using the spring constant. The discussion emphasizes the importance of understanding simple harmonic motion principles to approach the problem effectively. Overall, grasping these concepts is essential for solving the mass calculation in this scenario.
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an astronaut in space sits on a chair that vibrates horizontally at the end of a spring. the spring has a 1200-N/m spring constant, the amplitude of vibration is 0.50 m and the speed of the chair as it passes through equilibrium is 2.0 m/s.
also devise another method to determine the mass, you know the spring constant of the spring-seat (1200-N/m) and the mass of the vibrating seat on which she sits. you also have a stop watch. describe the method and do a sample calculation
 
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so what have you done? Don't know any girl astronauts?
 
Dr.D said:
so what have you done? Don't know any girl astronauts?
i don't know how to approach either
 
Forget the girl, what do you know about simple harmonic motion?

You have a mass vibrating on the end of a spring, where you know the spring constant, the amplitude of vibration, and the speed when the chair passes through equilibrium. Write the equation of motion and the general solution, then express each of the known conditions in terms of the general solution, and see if you can find the mass of the chair and occupant (male or female) from what results.
 
Dr.D said:
Forget the girl, what do you know about simple harmonic motion?

You have a mass vibrating on the end of a spring, where you know the spring constant, the amplitude of vibration, and the speed when the chair passes through equilibrium. Write the equation of motion and the general solution, then express each of the known conditions in terms of the general solution, and see if you can find the mass of the chair and occupant (male or female) from what results.

im still lost on where to even begin
 
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