Homework4a.fall10

Homework4a.fall10 - 34 R and 34 R ). (ii) the magnitude and...

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ME 560 Kinematics Fall Semester 2010 Homework No. 4 Wednesday, September 15th Consider the sliding-block linkage shown in Example 2.5, see Figure 2.24, page 77. The position analysis for the input angle o 2 135 θ= is presented on pages 78 and 79. The solution to the position problem can be obtained from trigonometry (that is, the law of cosines and the law of sines). The answers are obtained as 34 4 RO A 1 2 . 5 9 i n c h e s = = and . o 3 434 104.64 θ= θ= θ= The length of link 4, that is 4 O C, is specified as 4 OC 2 0 i n c h e s . = Assume that the input link 2 is rotating with an angular velocity 2 5rad s ω = / clockwise and an angular acceleration 2 2 10 rad s
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Unformatted text preview: 34 R and 34 R ). (ii) the magnitude and direction of the angular velocity and angular acceleration of links 3 and 4. (iii) the velocity and acceleration of point C. Give the magnitude and direction of each vector. (iv) the unit tangent and normal vectors to the path of point C. Show the vectors on Figure 1. (v) the radius of curvature of the path of point C. Show your answer on Figure 1. (vi) the X and Y coordinates of the center of curvature of the path of point C. Show your answer on Figure 1. Note that the origin of the XY reference frame is chosen to be coincident with the ground pin O 2 as shown in Figure 1. Figure 1. The Sliding-Block Linkage....
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