Connections between UCM and SHM

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Presentation transcript:

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

Connections between UCM and SHM

Connections between UCM and SHM

Connections between UCM and SHM

Velocity in SHM v q

Velocity in SHM v q q

Velocity in SHM v q q q

Velocity in SHM vx = –v sinq v q q q

Velocity in SHM vx = –v sinq v q q q

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

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

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

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

Period of a Mass on a Spring

Period of a Mass on a Spring

Period of a Mass on a Spring

Period of a Mass on a Spring

Period of a Mass on a Spring

Period of a Mass on a Spring

Period of a Mass on a Spring DEMO!

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

If you have a spring with force constant 12500 N/m, what mass should you put on it to get an angular frequency of 35.0 s-1?

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?