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SIMMECHANICS MODEL OF A RIGID BODY( COMPOUND PENDULUM)

SIMMECHANICS MODEL OF A RIGID BODY( COMPOUND PENDULUM). BY GILBERT AMADI. MODEL OF SIMPLE PENDULUM. Pendulum simmechanics results. SIMPLE PENDULUM-SIMMECHANICS. THE PENDULUM IS A SWINGING STEEL ROD THE AMPLITUDE OF THE SWING IS LARGE, THERFORE, THE MOTION IS PERIODIC BUT NOT SIMPLE HARMONIC

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SIMMECHANICS MODEL OF A RIGID BODY( COMPOUND PENDULUM)

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  1. SIMMECHANICS MODEL OF A RIGID BODY( COMPOUND PENDULUM) BY GILBERT AMADI

  2. MODEL OF SIMPLE PENDULUM

  3. Pendulum simmechanics results

  4. SIMPLE PENDULUM-SIMMECHANICS • THE PENDULUM IS A SWINGING STEEL ROD • THE AMPLITUDE OF THE SWING IS LARGE, THERFORE, THE MOTION IS PERIODIC BUT NOT SIMPLE HARMONIC • THE SCOPE(DISPLAY) WILL SHOW ANGLE AND ANGULAR VELOCITY AS FUNCTIONS OF TIME • THE XY GRAPH SHOWS THE ANGLE VERSUS ANGULAR VELOCITY

  5. PROPERTIES OF THE SIMPLE PENDULUM BODY • THE SIMPLE PENDULUM IS A UNIFORM, CYLINDRICAL STEEL ROD OF LENGTH 1 METER, DIAMETER 2cm • ONE END OF THE ROD, THE FIXED PIVOT FOR THE ROD TO SWING, IS LOCATED AT THE GROUND POINT (3,4,5) • UNIFORM STEEL WITH DENSITY 7.93GM/CC*3,L=1M, R=1CM, MASS= pπr*2l=2490gram

  6. SIMPLE PENDULUM-SIMMECHANICS • THE PENDULUM IS A SWINGING STEEL ROD • THE AMPLITUDE OF THE SWING IS LARGE, THERFORE, THE MOTION IS PERIODIC BUT NOT SIMPLE HARMONIC • THEE SCOPE(DISPLAY) WILL SHOW ANGLE AND ANGULAR VELOCITY AS FUNCTIONS OF TIME • THE XY GRAPH SHOWS THE ANGLE VERSUS ANGULAR VELOCITY

  7. SIMMECHANIC MODELS • GROUND BLOCK AND CONFIGURATION • EVERY MACHINE MODEL MUST HAVE ONE GROUND BLOCK. • GROUND BLOCKS FUNCTION AS IMMOBLE BODIES. • THE GROUND BLOCK IS CONFIGURED WITH (3,4,5) IN THE (X,Y,Z) DIRECTION RELATIVE TO THE WORLD SYSTEM AT (0,0,0)

  8. BODY BLOCK • A REAL MACHINE CONSISTS OF ONE OR MORE RIGID BODIES. • THE MAIN CHARACTERISTICS OF A BODY BLOCK ARE: • -ITS MASS PROPERTIES( THE MASS AND INERTIA TENSOR • -ITS POSTION(CENTER OF GRAVITY &ORIENTATION) • -ITS ORIENTATION IN SPACE

  9. JOINT BLOCKS • REPRESENTS THE POSSIBLE DIRECTIONS THE BODY CAN TAKE CALLED ITS DEGRESS OF FREEDOM(DOFs) • A JOINT BLOCK IS ALWAYS CONNECTED TO A SPECIFIC POINT ON THE BODY ON EITHER SIDE OF THE JOINT. • THE PEDULUM IS CONNECTED TO THE GROUND VIA THE REVOLUTE JOINT BLOCK.

  10. SENSORS • TO MEASURE THE MOTION OF THE PENDULUM AS IT SWINGS, ONE OR MORE SCOPES BLOCKS ARE ADDED TO THE MODEL. • THE SCOPE DISPLAYS THE ANGLE AND ANGULAR VELOCITY OF THE PENDULUM AS FUNCTIONS OF TIME. • THE OTHER SCOPE IS THE XY GRAPH SHOWS THE ANGLE VERSUS ANGULAR VELOCITY WITH NO EXPLICIT TIME AXIS. • THE TWO VARIABLES TRACE OUT A FIGURE SIMILAR TO AN ELLIPSE, BECAUSE OF THE CONSERVATION OF TOTAL ENERGY

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