Dynamics of Mechanical Systems 2009 Part 16 ppt
Dynamics of Mechanical Systems 2009 Part 16 ppt
... equation, 442Dedendum, 581, 600Degrees of freedom, 3, 125, 353, 628, 661Derivative of transformation matrices, 612, 668 748 Dynamics of Mechanical Systems 7. Cylinder, cylindrical shell:8. ... ====() (),0593_C20_fm Page 733 Tuesday, May 7, 2002 9:14 AM 756 Dynamics of Mechanical Systems Partial velocity arrays, 651Particle, 3, 57Passive forces, 2, 177, 184, 244, 377, 680Period, ... 584Principal axis of inertia, 208, 215Principal moment of inertia, 208, 209Principal unit vector, 209Principle of angular momentum, 289Principle of linear momentum, 285Product of inertia, 200,...
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Dynamics of Mechanical Systems 2009 Part 3 pptx
... 84 Dynamics of Mechanical Systems Observe that θ measures the rotation of B in R. It is also a measure of the orientation of B in R. In this context, the angular velocity of B in R is ... May 6, 2002 2:06 PM 126 Dynamics of Mechanical Systems Using polar coordinates the constraint equation is:(5.2.2)The number of degrees of freedom of a mechanical system is sometimes ... velocity of B in R is a measure of the rate of change of orientation of B in R.The simple angular acceleration α of B in R is then defined as the time rate of change of the angular velocity. That...
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Dynamics of Mechanical Systems 2009 Part 11 pptx
... view of the rotor showing G and a point O on the axis A–A . 0593_C15_fm Page 513 Tuesday, May 7, 2002 7:05 AM 516 Dynamics of Mechanical Systems where is the mass of the ... 2002 7:05 AM510 Dynamics of Mechanical Systems 14.5. Meirovitch, L., Elements of Vibration Analysis, McGraw-Hill, New York, 1975, 329 ff.14.6. Meirovitch, L., Dynamics and Control of Structures, ... Tuesday, May 7, 2002 7:05 AM486 Dynamics of Mechanical Systems By inspection of Eqs. (14.4.1) and (14.4.2), we have:(14.4.4)Thus, G moves as a projectile particle having a parabolic path (see...
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Dynamics of Mechanical Systems 2009 Part 12 pptx
... Dynamics of Mechanical Systems P16.6.2: Repeat Problem P16.6.1 if a, b, and d have the values a = 5 cm, b = 3.25 cm, andd = 0.75 cm.P16.6.3: Repeat Problem P16.5.1 if the follower axis is offset ... δ θθ0593_C16_fm Page 559 Tuesday, May 7, 2002 7:06 AM564 Dynamics of Mechanical Systems and then from Eq. (16. 13.1) we have: (16. 13.6)Equations (16. 13.6) are parametric equations of a cycloid ... function.Section 16. 10 Use of Singularity FunctionsP16.10.1: See Problem P16.8.1. Use singularity functions to describe the follower risefunction of Figure P16.8.1.P16.10.2: See Problem P16.8.2. Use...
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Dynamics of Mechanical Systems 2009 Part 1 ppsx
... physics. The objective of the book is to give readers a working knowledge of dynamics, enabling them to analyze mechanical systems ranging from elementary and fundamental systems such as planar ... and robotics systems; and by a needto have a better understanding of the dynamics of biosystems. The book is intended toenable its readers to make engineering advances in each of these areas. ... coordinates (r, θ, z) of P.b. Find the spherical coordinates (ρ, φ, θ) of P.Vij k=++3 4 12 ft sec0593_C01_fm Page 12 Monday, May 6, 2002 1:43 PM24 Dynamics of Mechanical Systems However, the...
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Dynamics of Mechanical Systems 2009 Part 2 potx
... sum of products of the elements of the ith row of A with the corresponding elements of the jth column of B. Specifically,(2.10.5)where n is the number of columns of A and the number of rows of ... 1:46 PM76 Dynamics of Mechanical Systems Determine the velocity and acceleration of P when θ is (a) 0˚; (b) 30˚; (c) 90˚; and (d) 180˚.P3.8.2: Solve Problem P3.8.1 if , instead of being constant, ... 6, 2002 2:03 PM72 Dynamics of Mechanical Systems Section 3.3 Position, Velocity, and AccelerationP3.3.1: The position vector p locating a particle P relative to a point O of a reference frameR...
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Dynamics of Mechanical Systems 2009 Part 4 docx
... 12 16 30 60 24 321131144 192−+nnMnnnO=− 160 30 168 12 3ftlb0593_C06_fm Page 168 Monday, May 6, 2002 2:28 PM 160 Dynamics of Mechanical Systems a. Locate or identify the instant center of ... FIGURE 6.3.1 A mechanical system. FIGURE 6.3.2 A set of forces acting on a mechanical system. 0593_C06_fm Page 165 Monday, May 6, 2002 2:28 PM172 Dynamics of Mechanical Systems As a second ... coordinates of the instant center C of B and the velocity of point Q of B whosecoordinates are (2, 4). Express the velocity of Q in terms of nx and ny.P5.7.2: A body B having planar motion has particle...
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Dynamics of Mechanical Systems 2009 Part 5 pps
... PM190 Dynamics of Mechanical Systems a. Determine the resultant R of this system of forces.b. Find the moments of the force system about points C, H, E, and G.Express the results in terms of the ... Page 216 Monday, May 6, 2002 2:42 PM194 Dynamics of Mechanical Systems gravitational forces acting on these bodies are represented by equivalent gravity (weight)force systems consisting of single ... analysis of dynamic systems as though they were static systems. For rigid bodies, considered as sets of particles, the inertia force system is somewhatmore involved than for that of a single particle...
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Dynamics of Mechanical Systems 2009 Part 6 pdf
... 10 lb 16 cm 8 cm5 kg3 kg0593_C08_fm Page 274 Monday, May 6, 2002 2:45 PM266 Dynamics of Mechanical Systems where a2 is the n2 component of a and T3 is the n3 component of T*; ... θθθθθ2122220593_C08_fm Page 247 Monday, May 6, 2002 2:45 PM264 Dynamics of Mechanical Systems line of S. Let B have length ᐉ and mass m, and let the orientation of B be defined by theangle θ as shown in Figure ... 2:42 PM258 Dynamics of Mechanical Systems 8.10 Double-Rod PendulumAs an extension of the foregoing system, consider the double-rod pendulum shown inFigure 8.10.1. It consists of two identical...
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Dynamics of Mechanical Systems 2009 Part 7 pps
... Dynamics of Mechanical Systems The left side of Eq. (10.6.2) may be recognized as the power of F (see Eq. (10.4.2)). Theright side of Eq. (10.6.2) may be expressed in terms of a derivative of ... 324 Dynamics of Mechanical Systems (10.2.13)where t * is the time of action of F . The integrand of Eq. (10.2.13), F • v , is often called the power of F ... Dynamics of Mechanical Systems where the final expression is obtained by recognizing M as the total mass of the particles of B and by recalling that G is the mass center of...
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