Statics
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Statics. Static Equilibrium. There are three conditions for static equilibrium. The object is at rest There is no net force There is no net torque. Offset Forces. Balanced forces do not insure static equilibrium. The center of mass is stationary, but the object rotates. F. -F.

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Statics

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Statics

Statics


Static equilibrium

Static Equilibrium

  • There are three conditions for static equilibrium.

    • The object is at rest

    • There is no net force

    • There is no net torque


Offset forces

Offset Forces

  • Balanced forces do not insure static equilibrium.

  • The center of mass is stationary, but the object rotates.

F

-F


Static torques

With no rotation, torques must sum to zero.

A ladder leans against a wall with friction against the floor.

Length l

Angle q

Coefficient of static friction m

The sum of torques gives

Static Torques

FNW

FNF = mg

Ffrmmg

-mg

q


Pivot point

The calculation of torques is independent of the pivot point.

Select the wall for the pivot.

Pivot Point

FNW

FNF = mg

Ffrmmg

-mg

q


The lever

The lever is a simple machine that increases force.

The downward force is multiplied by the lever arm of the stick to become a torque.

The torque on the rock matches the torque from the person.

The Lever


Human lever

Human Lever

  • The elbow joint is a pivot point for a lever.

    • Assume all forces are vertical.

    • Levers may not reduce force.


Stability

Stability

  • When is an object in static equilibrium?

    • Check the forces and torques

    • If the torques are from gravity, find the center of mass

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