LECTUR~20_16.7 - RELATIVE MOTION ANALYSIS ACCELERATION...

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Today s Objec-ves : Students will be able to: 1. Resolve the accelera7on of a point on a body into components of transla7on and rota7on. 2. Determine the accelera7on of a point on a body by using a rela7ve accelera7on analysis. In-Class Activities : Check Homework Reading Quiz Applications Translation and Rotation Components of Acceleration Relative Acceleration Analysis Roll-without-Slip Motion Concept Quiz Group Problem Solving Attention Quiz RELATIVE MOTION ANALYSIS: ACCELERATION
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READING QUIZ 1. If two bodies contact one another without slipping, and the points in contact move along different paths, the tangential components of acceleration will be ______ and the normal components of acceleration will be _________. A) the same, the same B) the same, different C) different, the same D) different, different 2. When considering a point on a rigid body in general plane motion, A) It s total acceleration consists of both absolute acceleration and relative acceleration components. B) It s total acceleration consists of only absolute acceleration components. C) It s relative acceleration component is always normal to the path. D) None of the above.
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APPLICATIONS In the mechanism for a window, link AC rotates about a fixed axis through C, and AB undergoes general plane motion. Since point A moves along a curved path, it has two components of acceleration while point B, sliding in a straight track, has only one. The components of acceleration of these points can be inferred since their motions are known. How can we determine the accelerations of the links in the mechanism?
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APPLICATIONS (continued) In an automotive engine, the forces delivered to the crankshaft, and the angular acceleration of the crankshaft, depend on the speed and acceleration of the piston. How can we relate the accelerations of the piston, connection rod, and crankshaft to each other?
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RELATIVE MOTION ANALYSIS: ACCELERATION (Section 16-7) The equation relating the accelerations of two points on the body is determined by differentiating the velocity equation with respect to time. The result is a B = a A + ( a B/A ) t + ( a B/A ) n These are absolute accelerations of points A and B. They are measured from a set of fixed x,y axes.
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