HW_vel_78

HW_vel_78 - 1 4 Velocity and Acceleration Analysis 4...

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1 4 Homework 7: Velocity and Acceleration Analysis Problem 4.7 The dimensions of the mechanism shown in Fig. P4.7 are: AB =200 mm, AC =300 mm, CD =500 mm, DE =250 mm, and L a =400 mm. The constant angular speed of the driver link 1 is n =40 rpm. Find the velocities and the accelerations of the mechanism when the angle of the driver link 1 with the horizontal axis is φ =60 . For φ =60 the position of the mechanism is given by: x B =0.1 m, y B =0.173205 m, x D =-0.758831 m, y D =-0.19868 m, x E =-0.7 m, y E =0.0442993 m, φ 2 =0.408638 rad, φ 4 =1.33324 rad. 5 4 B 2 C 0 y φ A x 1 0 n 0 3 D L a E Figure P4.7: Mechanism P4.7 Results ˙ x B 1 =-0.72552 m/s, ˙ y B 1 =0.418879 m/s, ¨ x B 1 =-1.7546 m/s 2 , ¨ y B 1 =-3.03905 m/s 2 , ˙ x D =0.30661 m/s, ˙ y D =-0.708086 m/s, ¨ x D =0.841861 m/s 2 , ¨ y D =1.05257 m/s 2 , ˙ x E =0 m/s, ˙ y E =-0.633848 m/s, ¨ x E =0 m/s 2 , ¨ y E =0.846817 m/s 2 , ω 2 = ˙ φ 2 =1.54324 rad/s, α 2 = ¨ φ

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HW_vel_78 - 1 4 Velocity and Acceleration Analysis 4...

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