Relate the position, velocity, acceleration, and time values for a mass vibrating on a horizontal spring.
A 275-gram mass is pulled to the right of its relaxed position in the horizontal direction on the end of a spring with spring constant of 4.0 N/m. The position of 0 cm is at the relaxed position of the spring and to the right is the positive direction. At time 0 the mass is released and oscillates back and forth in the horizontal plane with position, velocity, and acceleration values generated in the graph at right. The maximum speed is 40.0 cm/sec.
What is the angular frequency?
Angular Frequency
rad/sec
What is the period?
Period
seconds
Which dotted line goes through the time at which one full cycle is reached after release?
What is the time between dotted lines in the graph?
Time
What is the amplitude?
Amplitude
cm
At what time is the spring Potential Energy first a maximum after release?
At what time is the Kinetic Energy first a maximum after release?
What is the maximum magnitude of acceleration?
Max Acceleration
cm/s/s
A 244-gram mass is pulled to the right of its relaxed position in the horizontal direction on the end of a spring. The position of 0 cm is at the relaxed position of the spring and to the right is the positive direction. At time 0 the mass is released and oscillates back and forth in the horizontal plane with position, velocity, and acceleration values generated in the graph at right. The amplitude is 9.2 cm and time between dotted lines is 0.56 seconds.
What is the period of the spring-mass system?
Which dotted line goes through the time at which one and one half cycles is reached after release?
What is the spring constant of the spring?
Spring Constant
N/m
What is the maximum Potential Energy?
Max Potential Energy
Joules
What is the maximum Kinetic Energy?
Max Kinetic Energy
What is the maximum speed?
Maximum Speed
cm/s
What is the magnitude of the maximum acceleration?
Maximum Acceleration
A mass is pulled to the right of its relaxed position in the horizontal direction on the end of a spring. The position of 0 cm is at the relaxed position of the spring and to the right is the positive direction. At time 0 the mass is released and oscillates back and forth in the horizontal plane with position, velocity, and acceleration values generated in the graph at right. The spring constant is 2.2 N/m, amplitude is 9.6 cm and time between dotted lines is 0.48 seconds.
Which dotted line goes through the time at which one full cycle is reached if the beginning time is marked by dotted line C?
What is the mass on the spring?
Mass
grams
cm/sec