In each part of this example, the strategy is the same as it was for solving problems in linear kinematics. In particular, known values are identified and a relationship is then sought that can be used to solve
12. Rotational Kinematics Topic summary 1 concept Rotational Velocity & Acceleration Video duration: 11m 2 example Rotational velocity of Earth AI tutor 2 73 Take your learning anywhere! Prep for your exams on the go with video lessons and practice problems in our mobile app. ...
**Displacement.** Usually, kinematics problems involve two linear dimensions to specify position, x and y. Rotational motion involves a particle at a distance r from the axis of rotation, with an angle specified in reference to a zero point if needed. **Velocity.** Instead of...
Through a numerical example it is shown that the polynomial is minimal. Then, the inverse and direct velocity kinematics problems are solved and singularity of the manipulator is analyzed using Jacobian matrices. Also the number and type of additional uncontrollable DOF(s), obtained in direct ...
Most of the previous studies on this problem, for example, Pearson (1965), Nguyen (1974), Phan-Thien (1983), assume that the flow domain is infinite in the radial direction, and von Kármán’s kinematics (the vertical velocity is radius-independent) holds. With this assumption, the Navier...
Later many other structures of manipulators having three degrees of freedom [1,11–13] were analyzed and almost all cause problems with obtaining analytical solution to the forward kinematics problem. A large part of the existing constructions of parallel manipulators uses spherical joints. Show ...
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Asymmetrical three-DOFs rotational-translational parallel-kinematics mechanisms based on Lie group theory. European Journal of Mechanics A/Solids, 2006, 25(3): 550–558. Article MathSciNet MATH Google Scholar J M Hervé. The Lie group of rigid body displacements, a fundamental tool for mechanism...
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These are important quantities to consider when evaluating the rotational kinematics of a problem. A common assumption, which applies to numerous problems involving rotation about a fixed axis, is that angular acceleration is constant. With angular acceleration as constant we can derive equations for ...