the theory on the prediction of the motion of rotors connected by the gears. By the falling weight method to evaluate the inertia on each shaft. Determine the equivalent inertia of the system at the first shaft‚ by the falling weight method. Test rig figure: The number of teeth on each gear: N =90‚ N =30‚ N =90‚ N =90 Theory: In order to evaluate the equivalent inertia on each shaft by the "Falling Weight" method. The free body diagrams reveal: P*R=I*a+Tf Should be a straight line graph
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Bibliography: Stack exchange inc. 2014. Why is the moment of inertia for a hollow sphere higher than a uniform sphere? http://physics.stackexchange.com/questions/100444/why-is-the-momentof-inertia-for-a-hollow-sphere-higher-than-a-uniform-sphere (accessed 20 Aug Livestrong.com. 2014.Does Size Affect How a Ball Travels? http://www.livestrong.com/ article/486063-size-affect-ball-travels/
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Prac Report – Investigating Parachutes Experiment Aim: To measure how the size of a parachute t’s surface area affects the parachute’s speed‚ acceleration and time of flight. Hypothesis: A parachute with a larger surface area would fall slower due to that fact there would be a higher level of drag‚ or in other words more air resistance. Materials: * Sturdy garbage bags * Metric ruler * Scissors * Washers * Twist ties * Light-weight string * Stopwatch Method:
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cross-sectional bar. Objective : Determining the natural frequency of a system undergoing tortional vibration. Theory : Using Newton’s second law of tortional system. ( [pic] …………………. ( Equation 1 ) where Io = mass moment of inertia of the disk Hence‚ [pic] ……..……... ( Equation 2 ) where k = torsional stiffness of the shaft Rearrange Equation 2 ( [pic] .………..……... ( Equation 3 ) where natural frequency of the system
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ROTATIONAL KINEMATICS Reference Book: Properties of Matter – Dr. Tofazzal Hossain MOMENT OF INERTIA: According to Newton’s first law of motion‚ “a body must continue in its state of rest or of uniform motion along a straight line‚ unless acted upon by an external force.” This inertness or inability of a body to change by itself its position of rest or of uniform motion is called inertia. Exactly in the same manner‚ in case of rotational motion‚ also we find that‚ a body free to rotate
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between the exhausted mass and the main body (vrel = vrocket - vexhaust) v v + dv - dM U M M + dM x x Ch6. Rotation and Moment 6.1 6.2 6.3 6.4 6.5 6.6 6.7 The Rotational Variables Kinetic Energy of Rotation Moment of Inertia Torque (Moment) Bending Moment Newton’s Second Law for Rotation Work and Rotational Kinetic Energy Ch6. Rotation and Moment 6.8 Rolling as Translation and Rotation Combined 6.9 Kinetic Energy of Rolling 6.10 The Forces of Rolling 6.11
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physical stress was evaluated with myoelectricity‚ the musculoskeletal moment of the operator and the operator’s feelings during the experimental motion. As a result‚ we found that the physical stress tended to decline with the decrease of virtual inertia and virtual Coulomb friction‚ and to increase slightly with the decrease of virtual gravitational moment. The decrease of virtual viscous friction made the physical stress increase gradually after it declined to a trough during the positive virtual
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Weight of ball Ωt Angular velocity of player trunk Ω1‚ Ω2 Angular velocities of player legs ll Moment of inertia of leg lt Moment of inertia of trunk la Moment of inertia of arm M1 ‚ M2 Moment of arms Mt Moment of trunk Ml1 ‚ Ml2 Moment of legs t ‚ t1 Time L Length
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velocity and its moment of inertia. Just as a moving object’s inertial mass is a measure of its resistance to linear acceleration‚ a rotating object’s moment of inertia is a measure of its resistance to angular acceleration."2 Factors which effect a rotating object’s moment of inertia are its mass and on the distribution of the objects mass about the axis of rotation. A small object with a mass concentrated very close to its axis of rotation will have a small moment of inertia and it will be fairly easy
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Questions: 1. Using the data you have gathered and your knowledge of the law of conservation of angular momentum‚ explain the results for the angular momentum data column. - The angular momentum of a rigid object is defined as the product of the moment of inertia and the angular velocity. All parts of the isolated system were held constant. Since there was no external torque on the object‚ the angular momentum could not have changed. 2. Find line or curve of best fit. What is the constant for this graph?
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