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 Angular Momentum 6.12 The
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How to Logically Solve a Rubik’s Cube Kenneth Cason First‚ as with any problem‚ it is important to understand what your objective is. In the case of the Rubik’s Cube‚ the main goal is to arrange the pieces in such a way that each side is the same color. Next lets luck at the structure of a standard 3x3 Rubik’s Cube. It is a cube composed of 6 sides‚ each side composed of 9 stickers (3x3). There are 8 corner pieces‚ 12 edge pieces and 6 center pieces (one on each side). It is also important to note
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axis is specified in terms of r0. Rank the three objects according to their moments of inertia‚ largest to smallest. (a) A‚ B‚ C (b) A‚ C‚ B (c) B‚ A‚ C (d) B‚ C‚ A (e) C‚ A‚ B 5. The drawing illustrates an overhead view of a door and its axis of rotation. The axis is perpendicular to the page. There are four forces acting on the door‚ and they have the same magnitude. Rank the torque τ that each force produces‚ largest to smallest. (a) (b) (c) (d) (e) τ4 ‚ τ3 ‚ τ2 ‚ τ1 τ3 ‚ τ2 ‚ τ1 and τ4 (a two-way
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not part of the basic OWI-535 package. One downside of the arm is its under-powered control software which only offers time-based movement of the arm’s joints (e.g. rotate the wrist for 0.5 second). It would be much more useful to define joint rotations using absolute and relative angles‚ or to specify (x‚ y‚ z) locations (e.g. move the arm’s grippers to (10‚ 15‚ 7)). I’ll be implementing control software that offers all these features. The code forms a loose hierarchy – the lowest level moves
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SAMPLE PROBLEMS: 111-SET #9 ROTATIONAL MOTION PROBLEMS: 09-1 1) A grinding wheel starts from rest and has a constant angular acceleration of 5 rad/sec2. At t = 6 seconds find the centripetal and tangential accelerations of a point 75 mm from the axis. Determine the angular speed at 6 seconds‚ and the angle the wheel has turned through. |We have a problem of constant angular acceleration. The figure & coordinate system are |[pic]
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Shepard’s Results • In the Cooper & Shepard experiment (1973)‚ participants were asked to decide whether a stimulus (a letter) was normal (simply rotated in the picture plane) or backwards (flipped to its mirror image before the rotation). Reaction times were graphed and increased as the letters were rotated away from 0 degrees. Interestingly‚ reaction time decreased after 180 degrees. Can you explain why this might occur? Reaction time increased as the the letters
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DANIEL SENIOR ORIFICE FITTING The Daniel Senior Orifice fitting is a fluid measurement device that measures flow based on the differential pressure principle. The Daniel Senior Fitting utilizes a duel chamber design which positions an orifice plate in a flow stream. The orifice plate generates a pressure drop as flow moves though the Daniel Senior Orifice Fitting. By measuring the pressure drop as flow moves through the Daniel Senior Orifice Fitting‚ and using the pressure drop (differential pressure)
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List three exercises for each plane of movement: sagittal‚ frontal‚ and transverse. Exercises for the planes of movement. SAGITTAL: Is a vertical plane dividing the body into right and left halves. Crunches – Lay flat on the ground with your back on the floor; keep your spine in neutral position‚ knees up with feet off the ground keeping leg in a 90 degree angle‚ hands by the ears or across the chest. Focus on a spot above‚ as you flex abs upward. Your lower back should remain on the floor‚
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Question 2 a) Rotary Variable Differential Transformer (RVDT) Construction of RVDT RVDT is almost identical in the construction with LVDT. The ferrite core in LVDT is replaced by heart or cardioids shaped core. This rotational movement of the shaft creates the imbalance in the external circuit and this imbalance signal is used to measure the angular displacement of the shaft. RVDT give linear output up to displacement of +-40 degree. Then output starts becoming nonlinear. Operation of
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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 to spin it with a certain angular velocity. However if an object of equal mass‚ with its mass more spread out from the axis of rotation‚ will have a greater moment of inertia and will be harder to accelerate to the same angular velocity.3 To calculate
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