Simple Harmonic Motion Prelab Assignment

Read Taylor Error Analysis, Chapter 8.

1. 
   1. A mass m=0.25 kg is attached to an ideal Hooke's Law spring which has a spring constant k=10 N/m=10 kg/s². If the mass glides back and forth on a frictionless horizontal surface, find the period of oscillation.
      
      
      
      
      
      
      
      
      
      
      
      
   2. If the same spring is used (k=10 N/m), but the mass is doubled (m=0.50 kg), what is the new period of oscillation?
      
      
      
      
      
      
      
      
      
      
      
      
   3. If the original mass is used (m=0.25 kg), but the spring is made twice as stiff (k=20 N/m), what is the new period of oscillation?
      
      
      
      
      
      
      
      
      
      
      
      
2. 
   1. A mass m=0.25 kg is suspended from an ideal Hooke's Law spring which has a spring constant k=10 N/m=10 kg/s². If the mass moves up and down in the Earth's gravitational field near the Earth's surface, find the period of oscillation.
      
      
      
      
      
      
      
      
      
      
      
      
   2. If the same spring is used (k=10 N/m), but the mass is doubled (m=0.50 kg), what is the new period of oscillation?
      
      
      
      
      
      
      
      
      
      
      
      
   3. If the original mass is used (m=0.25 kg), but the spring is made twice as stiff (k=20 N/m), what is the new period of oscillation?
      
      
      
      
      
      
      
      
      
      
      
      
3. Suggest a way to measure the spring constant k of a spring that is fundamentally different from the method in this week's lab. What quantities must be measured?
   
   
   
   
   
   
   
   
   
   
   
   
4. If y and x are related through the equation y = (3 x + 7)^½, then a graph of y vs. x looks like this curve
   
   What function of y should be plotted vs. x to produce a straight line?