Question ID - 99694 | SaraNextGen Top Answer
The teeter toy consists of two identical weights which hang from a peg on dropping arms as shown. The arrangement is unexpectedly stable-the toy can be spun or oscillated with little danger or topping over. We can see why this is so by looking at its potential energy. For simplicity, we shall consider only oscillating motion in the vertical plane
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Let us evaluate the potential energy when the teeter toy is at angle
, as shown in sketch. If we take the zero of gravitational potential energy at the pivot (point 
), we have
.png)
For equilibrium, 
or 
, we expect symmetry
To investigate the stability of the equilibrium position, we must examine the second derivation of the potential energy. We have
At equilibrium, 
For the second derivation to be positive, we have 
or 
In order for the teeter toy to be stable, the weights must hang below the pivot
|
The stability of teeter toy at |
|||
|
a) |
Minimum potential energy |
b) |
Maximum potential energy |
|
c) |
Optimum potential energy |
d) |
Constant potential energy |
refers to|
(a) Stable equilibrium corresponds to minimum potential energy |
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