Stability of equilibrium   平衡的稳定性

By Diva Jiang

原创歌词，请勿盗版

Centre of mass is a point 质心是一个点

where mass seems to concentrated 仿佛质量汇集

Centre of gravity is a point 重心是一个点

where weight seems to act on 仿佛重力汇集

If a pivot is up of below 如果支点在正上方或者下方

torque of weight will ends in zero 重力的力矩就是0

If a pivot is up of below

torque of weight will ends in zero

Unstable equilibrium is defined 不稳定的平衡定义成

Falls or topples when disturbed 收到扰动的时候翻倒

condition is narrow base   条件是底座窄

or pivot under centre of mass 或者支点在质心上

condition is narrow base

or pivot under centre of mass

Stable equilibrium is defined 稳定的平衡的定义是

Returns to equilibrium when disturbed   收到扰动能够回到平衡

condition is wider base   条件是底座宽

or pivot above centre of mass 或者支点在质心上

condition is wider base

or pivot above centre of mass

Neutral equilibrium is defined 中性的平衡定义是

Moves sideways when disturbed 收到扰动会滚动

condition for neutral is simple 条件很简单

centre of mass remain the same height 质心保持同样的高度即可

condition for neutral is simple

centre of mass remain the same height

————————以下是歌词方案2——————

[verse]

Centre of mass is a point

mass seems concentrated in that joint

Centre of gravity is a point

weight seems act on in that joint

[Choir]

Locate pivot underneath

Static object stays in peace

Locate pivot just above

Torque of weight ends in none

[music]

[verse]

Stable, neutral, unstable state

Classification clearly relate

Stable, neutral, unstable state

Classification clearly relate

[choir]

Higher stability

Lower centre of gravity

Carry with a wider base

More stable in every case

[verse]

Falls or topples when disturbed

Unstable equilibrium is observed

Pivot under centre of mass

or narrow base is act

[choir]

Higher stability

Lower centre of gravity

Carry with a wider base

More stable in every case

[verse]

Returns to start when disturbed

Stable equilibrium is preserved

Pivot above centre of mass

Wider base ensures it lasts

[choir]

Higher stability

Lower centre of gravity

Carry with a wider base

More stable in every case

[verse]

Moves sideways when disturbed

Neutral equilibrium is inferred

CoM stays at the same height

Like ball rolling left or right

[choir]

Higher stability

Lower centre of gravity

Carry with a wider base

————————————————以下是方案3————————

Centre of mass is a point

mass seems concentrated in that joint

Centre of gravity is a point

Locate pivot above or below

Torque of weight is zero

Falls or topples when disturbed

Unstable equilibrium is observed

Pivot under centre of mass

or narrow base com to act

Returns to start when disturbed

Stable equilibrium is preserved

Pivot above centre of mass

Wider base ensures it lasts

Moves sideways when disturbed

Neutral equilibrium is inferred

CoM stays at the same height

Like a ball rolling left or right