Equilibrium

equilA.gif (61003 bytes)


Previously Asked Questions

Q:     Can a body with only one force acting on it be in equilibrium?

A:     No, the condition of equilibrium is Fnet = 0.

Q:     Can a body in motion be in equilibrium?

A:     Yes, the condition of equilibrium is Fnet = 0.  For an object in motion, Fnet = 0 means acceleration anet = 0 and velocity vnet = constant.  So, the only possible motion an object in equilibrium is the uniform motion (motion in straight line with constant speed.)

Q:     How far must the Tower of Pisa lean before it topples?

equilA.gif (61003 bytes)A:     The leaning Tower of Pisa is 55 meters high and 7.0 meters in diameter.  The top of the tower is 5.2 meters from the vertical (as of 1997).  The tower will topple when the center of mass is no longer above the structure's base.  If we treat the tower as a cylinder of uniform mass, its center of mass will be in the middle of the tower (where the line between the middle of the bases crosses the line that joins the middle of two opposite walls.   The center of mass will no longer be above the base when the top of the tower has moved 7.0 meters from the vertical (another 1.8 meters).  To find what angle this is calculate theta2.gif (833 bytes) = sin-1 (7.0 m/ 55m) = 7.3°.

You can learn more about the Tower of Pisa and the attempts to save it at this site:
GF's Leaning Tower of Pisa Web Page

[Top] [Previously Asked Questions] [References]


References

Equations

Static Equilibrium
Balance of Forces sigma.gif (836 bytes) Fext = 0
Balance of Forces in the xy Plane sigma.gif (836 bytes) Fx = 0   and  sigma.gif (836 bytes) Fy = 0
Balance of Torques sigma.gif (836 bytes) tau2.gif (826 bytes)ext = 0
Sum of Torques if the forces are balanced in the xy plane sigma.gif (836 bytes) tau2.gif (826 bytes)z = 0

[Top] [Previously Asked Questions] [References]


Mechanics List of Topics

Measurements Newton's Laws Potential Energy and Conservation of Energy Rotation of
Rigid Bodies
Elasticity
Vectors Forces and Fields Linear Momentum Angular Momentum Mechanical
Oscillations
Motion of Point-Mass Objects in One Dimension The Gravitational Field Collisions Torque Mechanical Waves
Motion of Point-Mass Objects in Two and Three Dimensions Kinetic Energy
and Work
Circular Motion of Point-Mass Objects Equilibrium Sound

ครั้งที่

เซ็นสมุดเยี่ยม

เรื่องการทดลองเสมือนจริง