1. Connections between UCM and SHM
Period of a Mass on a Spring

2. Connections between UCM and SHM

3. Connections between UCM and SHM

4. Connections between UCM and SHM

5. Velocity in SHM v q

6. Velocity in SHM v q q

7. Velocity in SHM v q q q

8. Velocity in SHM
vx = –v sinq v q q q

9. Velocity in SHM
vx = –v sinq v q q q

10. Velocity in SHM
vx = –v sinq v q q
Velocity in SHM q

11. Velocity in SHM Notice that v and x are 90˚ “out of phase”
“turning points”
(The position where v = 0)

12. Notice that a and x are 180˚ out of phase
Acceleration in SHM
Notice that a and x are 180˚ out of phase

14. A mass on a spring in SHM has amplitude A and period T
A mass on a spring in SHM has amplitude A and period T. At what point in the motion is v = 0 and a = 0 simultaneously?
x = A
x > 0 but x < A
x = 0
x < 0
None of the above

15. Period of a Mass on a Spring

16. Period of a Mass on a Spring

17. Period of a Mass on a Spring

18. Period of a Mass on a Spring

19. Period of a Mass on a Spring

20. Period of a Mass on a Spring

21. Period of a Mass on a Spring
DEMO!

22. Period of a Mass on a Spring DEMO!
What is the spring constant?

23. If you have a spring with force constant N/m, what mass should you put on it to get an angular frequency of 35.0 s-1?

24. When a 135 g bird lands on a thin limb, the limb bobs up and down once every 1.75 s.
Modeling the bird-on-a-limb as a mass-on-a-spring, what would the force constant be?