Accelerometer via ball on string

  • Thread starter andrewr0x
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  • #1
andrewr0x
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How would I go about measuring forward acceleration using a free-swinging ball on a stand? Could anyone post a free body diagram or an equation that might describe this?
 

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  • #2
robphy
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Two external forces on the ball:
downward gravitational force with magnitude (mg)
tension tangent to the the rope (T)

Compute net-force vectorially.

Use Netwon II.
Solve for the acceleration (a) as a function of angle (theta) with respect to the vertical.
 
  • #3
andrewr0x
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Would tan(theta)=a/g ?
 
  • #4
Doc Al
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andrewr0x said:
Would tan(theta)=a/g ?
That's right. (Where theta is the angle the string makes with the vertical.)
 

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