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# 008 acceleration analysis

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### 008 acceleration analysis

1. 1. Acceleration Analysis<br />Lecture Notes<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
2. 2. Acceleration Analysis<br />Acceleration analysis involves determining the amount that certain points on links of mechanism are either “speeding up” or “slowing down.”<br />The amount of acceleration is critical property because of the inertial forces associated with it. <br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
3. 3. Linear Acceleration of a Point Moving in a Straight Line<br />Linear acceleration of a point is the change of linear velocity of that point per unit time. <br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
4. 4. Linear Acceleration of a Point in General Motion<br /> The velocity of a point, moving in a general fashion, may change in two ways:<br />The magnitude of the velocity can change over time. This is acceleration is termed tangential acceleration.<br />2. The directionof the velocity vector can change over time. This acceleration is termed normal acceleration.<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
5. 5. Acceleration of a Link<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
6. 6. Tangential Acceleration<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
7. 7. Normal Acceleration<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
8. 8. Example 1:<br />The mechanism shown below is used in a distribution center to push boxes along a platform and to a loading area. The link is driven by an electric motor which, at the instant shown, has a velocity of 25 rad/sec and accelerates at a rate of 500 rad/sec2. Knowing that the input link has a length of 250 mm, determine the instantaneous acceleration of the end of the input link in the position shown.<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
9. 9. Analytical Solution<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
10. 10. Vector Addition<br />Reference: Machines and Mechanisms Applied Kinematics by David H. Myszka<br />
11. 11. Reference:<br /> Machines and Mechanisms Applied Kinematic Analysis by David H. Myszka. © 1999 by Prentice-Hall, Inc. Page 193 - 201.<br />