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CHAPTER 11 Dynamics of Rigid Bodies 11-1. The calculation will be simplified if we use spherical coordinates: sin cos sin sin cos x r y r z r θ φ θ φ θ = =…
Rigid Body Dynamics From Particles to Rigid Bodies • Particles – No rotations – Linear velocity v only • Rigid bodies – Body rotations – Linear velocity v –…
Kinematics of Rotation of Rigid Bodies Angle of rotation Angular displacement Δθ = θ – θ0 Δθ > 0 if rotation is counterclockwise Δθ < 0 if rotation is clockwise…
7 Kinematics and kinetics of planar rigid bodies II 7.1 In-class A rigid circular cylinder of radius a and length h has a hole of radius 0.5a cut out. The density of the
Kinematics of Rigid Bodies :: Rotating Axes Differentiating the posn vector eqn to obtain vel & accl eqn: •The unit vectors are rotating with the x-y axes time…
Slide 1roghibin's blog EQUILIBRIUM OF RIGID BODIES KESETIMBANG AN BENDA TEGAR Slide 2 roghibin's blog Base on object of Equilibrium Equilibrium Of POINT ( Kesetimbangan…
3D Kinetics of Rigid Bodies Angular Momentum Expression for H: Components of H: Inertia Matrix Principal axes of inertia Kinetic Energy dmG )]([ ρωρH dmO…
JU – 20 17 /H L 1 Dynamics and control of mechanical systems Date Content Day 1 (01/08) • Review of the basics of mechanics. • Kinematics of rigid bodies - coordinate…
Kinematics of Rotation of Rigid Bodies Angle of rotation Angular displacement Δθ = θ – θ0 Δθ > 0 if rotation is counterclockwise Δθ < 0 if rotation is clockwise…
Slide 1 Chapter 10 - Rotation In this chapter we will study the rotational motion of rigid bodies about a fixed axis. To describe this type of motion we will introduce the…
PowerPoint Presentation Rigid body rotation Physics 7C lecture 13 Tuesday November 12, 8:00 AM – 9:20 AM Engineering Hall 1200 Copyright © 2012 Pearson Education Inc.…
CS B659: Principles of Intelligent Robot Motion CS I400/B659: Intelligent Robotics Rigid Transformations 1 3D Rigid Objects Rigid Transformation in 2D q = (tx,ty,q) with…
ALG 3TRIG10 1 1 ADDITION AND SUBTRACTION FORMULAS sin α + = sin cos + cos sin sin α - = sin cos - cos sin cos α + = cos cos - sin sin cos α - = cos cos + sin sin tan…
Physics for the IB Diploma Study and Revision Guide © John Allum 2017 141 Rigid bodies and rotational dynamics 14 Engineering physicsOption B Key concept A resultant torque…
Rotation of a Rigid BodyRotation of a Rigid Body Readings: Chapter 13 1 Readings: Chapter 13 How can we characterize the acceleration during rotation? t l ti l l ti dF Newton’s…
Rigid Body Dynamics (I) COMP259 March 28, 2006 Nico Galoppo von Borries COMP259- M.Lin From Particles to Rigid Bodies Particles No rotations Linear velocity v only Rigid…
Slide 12- TEMPERATURE 3- FRICTION 31 60 Joint Edge P =160,000 / 4 = 40000 lb , A = 40,000 / 150 psi = 267 in2 TEMPERATURE εt = strain/ 1.0 F = 5* 10-6 in / F Δt
Chapter II II-2 Chapter II: Planar Rigid Body Kinematics Homework Chapter II: Planar Rigid Body Kinematics Homework II-3 Homework 2.A Given: Point A of plate ABCD moves to
Dynamics of rigid body motionDynamics of rigid body motion Sourendu Gupta Sourendu Gupta Classical Mechanics 2012: Lecture 13 The Lagrangian formulation Free rotations Simple
rigid-body-dynamics-09Rolling Cylinder Lz = L cos = Precessing cylinder Lz = I3 cos Gyroscope dL dt 2I1 sin 2 2I3 t = a=½; b=1/cos(π/6) a=2;