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fundamentals of engineering supplied-reference handbook - Ventech!

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Balancing Equipment<br />

The figure below shows a schematic representation <strong>of</strong> a<br />

tire/wheel balancing machine.<br />

Ignoring the weight <strong>of</strong> the tire and its reactions at 1 and 2,<br />

2 2<br />

F1x + F2x + mARAxω + mBRBxω = 0<br />

2 2<br />

F + F + m R ω + m R ω =<br />

1y 2y A Ay B By 0<br />

1x 1+ 2x 2 + B<br />

2<br />

Bxω B = 0<br />

1y 1+ 2y 2 + B<br />

2<br />

Byω B = 0<br />

F l F l m R l<br />

F l F l m R l<br />

m R<br />

B Bx<br />

m R<br />

B By<br />

F l + F l<br />

=<br />

1x1 2x2 2<br />

lBω<br />

F l + F l<br />

=<br />

1y 1 2y 2<br />

2<br />

lBω<br />

F + F<br />

m R m R<br />

ω<br />

1x 2x<br />

A Ax =− −<br />

2 b Bx<br />

F + F<br />

m R m R<br />

ω<br />

1y 2y<br />

A Ay =− −<br />

2 b By<br />

MATERIALS AND PROCESSING<br />

Mechanical and Thermal Properties<br />

See MATERIALS SCIENCE section.<br />

Thermal Processing<br />

See MATERIALS SCIENCE section.<br />

Testing<br />

See MECHANICS OF MATERIALS section.<br />

209<br />

MECHANICAL ENGINEERING (continued)<br />

MEASUREMENTS, INSTRUMENTATION, AND<br />

CONTROL<br />

Mathematical Fundamentals<br />

See DIFFERENTIAL EQUATIONS and LAPLACE<br />

TRANSFORMS in the MATHEMATICS section, and<br />

the Response segment <strong>of</strong> the CONTROL SYSTEMS<br />

section.<br />

System Descriptions<br />

See LAPLACE TRANSFORMS in the MATHEMATICS<br />

section and the Response segment <strong>of</strong> the CONTROL<br />

SYSTEMS section.<br />

Sensors and Signal Conditioning<br />

See the Measurements segment <strong>of</strong> the MEASUREMENT<br />

and CONTROLS section and the Analog Filter Circuits<br />

segment <strong>of</strong> the ELECTRICAL and COMPUTER<br />

ENGINEERING section.<br />

Data Collection and Processing<br />

See the Sampling segment <strong>of</strong> the MEASUREMENT<br />

and CONTROLS section.<br />

Dynamic Response<br />

See the Response segment <strong>of</strong> the CONTROL<br />

SYSTEMS section.<br />

THERMODYNAMICS AND ENERGY<br />

CONVERSION PROCESSES<br />

Ideal and Real Gases<br />

See THERMODYNAMICS section.<br />

Reversibility/Irreversibility<br />

See THERMODYNAMICS section.<br />

Thermodynamic Equilibrium<br />

See THERMODYNAMICS section.<br />

Psychrometrics<br />

See additional material in THERMODYNAMICS<br />

section.<br />

HVAC—Pure Heating and Cooling<br />

Q�<br />

= m�<br />

a<br />

2<br />

C = 1.<br />

02 kJ<br />

pm<br />

( h − h ) = m�<br />

C ( T − T )<br />

1<br />

a<br />

� ( kg ⋅ C )<br />

pm<br />

2<br />

1

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