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Rigid-Body Mechanics Relative-Motion Analysis: Velocity Translation only Kinematics Position Velocity Acceleration A B x y rA rB Relative-Motion Analysis: Velocity Transl.…
Fixed rθ Relative velocity (1) Observer in X-Y axes (no motion) General plane motion (translation + rotation) Observers at B observe point A ? (Consider in r-θ coordinate)…
Slide 1Accelerated Motion Velocity, acceleration and gravity Slide 2 How fast do things fall Slide 3 Reflexes Slide 4 Position-Time Graphs 1234 Slide 5 Velocity v. Time Slide…
-1- 123101 7. Velocity Analysis and Manipulator Jacobians 7.1 Joint twist Consider the motion of link i relative to link i-1. It is given by the homogeneous transformation…
GY305 Geophysics Final Exam Problem 1. Given the below information, calculate the linear velocity and azimuth of relative plate motion for point X on the plate boundary between…
Chapter 7Chapter 7 Rotational Motion Angles Angular Velocity and Angular Acceleration Universal Law of Gravitation Kepler’s Laws Angular DisplacementAngular Displacement…
Circular Motion Topics Angular Measure Angular Speed and Velocity Uniform Circular Motion and Centripetal Acceleration Angular Acceleration Angular Measure The position of…
Circular Motion Lecture 6 Pre-reading: KJF §61 and 62 Please log in to Socrative room HMJPHYS1002 CIRCULAR MOTION KJF §61–64 Angular position If an object moves in…
© 2010 Pearson Education, Inc. Slide 7-2 7 Rotational Motion © 2010 Pearson Education, Inc. Slide 7-3 © 2010 Pearson Education, Inc. Recall from Chapter 6… Angular…
Sect. 4.10: Coriolis & Centrifugal Forces (Motion Relative to Earth, mainly from Marion) Summary: For motion in an accelerating frame (r), both translating & rotating…
Slide 1 Circular Motion Slide 2 Uniform Circular Motion Period (T) = time to travel around circular path once. (C = 2 πr). Speed is constant, VELOCITY is NOT. Direction…
The Outtakes • CMB Transfer Function • Testing Inflation • Weighing Neutrinos • Decaying Neutrinos • Testing Λ • Testing Quintessence • Polarization Sensitivity…
M o m e n t u m Momentum is… Inertia in motion Mass x Velocity Creating Momentum Greater Force = Greater Momentum Force creates acceleration, so pushing harder makes you…
PhysicsChapter2Motionin1dimensionkPDF 1 September 17, 2013 Chapter 2 Motion in 1 Dimension 2-1 Displacement and Velocity Displacement -Change in __________ of object…
Lecture 3: 2-Dimensional Motion * Launch angle: direction of initial velocity with respect to horizontal * * General Launch Angle * General Launch Angle In general, v0x =…
Lecture 3 Newton’s Three Laws of Motion Homework Assignment A few rules to remember: –At rest or constant velocity = no change in motion –No change in motion = no acceleration…
Sect. 5-2: Uniform Circular Motion The motion of a mass in a circle at a constant speed. Constant speed The Magnitude (size) of the velocity vector v is constant. BUT…
Kinematics in Two Dimensions Chapter 3 continued 32 Addition of Vectors by Means of Components B A + y +x θ1 θ2 Vector A has magnitude A and angle θ 1 Vector…
Dynamics Chris Parkes October 2012 Dynamics Rotational Motion Angular velocity Angular “suvat” Kinetic energy – rotation Moments of Inertia KE – linear, rotation…
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…