HW_8_all - 1 Dynamic Force Analysis Homework 8...

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Dynamic Force Analysis 1 Homework 8: Accelerations of CM, mass moments of inertia Problem 6.1: four-bar mechanism The four-bar mechanism shown in Fig. P6.1 has the dimensions: AB = CD =0.04 m and AD = BC =0.09 m. The driver link AB rotates with a constant angular speed of 120 rpm. The links are homogeneous rectangular prisms made of steel with the width h = 0 . 01 m and the depth d = 0 . 001 m. The density of the material is ρ Steel = 8000 kg/m 3 and the gravitational acceleration is g = 9 . 807 m/s 2 . For φ = φ 1 =30 find: 1. the accelerations of the mass centers of the links a C i , i = 1 , 2 , 3; 2. the terms m i a C i and I C i α i , where m i is the mass, I C i is the mass moment of inertia, and α i is the angular acceleration of the link i = 1 , 2 , 3. C 3 0 y φ A x 1 2 B n D 0 M 3 ext Figure P6.1: Mechanism P6.1 For φ =30 the kinematics of the mechanism are given by: x B =0.034641 m, y B =0.02 m, x C =0.103859 m, y C =-0.0375222 m, φ 2 =-39.7274 , φ 3 =-69.7274 , ˙ x B =-0.251327 m/s, ˙ y B =0.435312 m/s, ¨ x B =-5.47029 m/s 2 , ¨ y B =-3.15827 m/s 2 , ˙ x C =-0.884619 m/s, ˙
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This note was uploaded on 08/29/2011 for the course MECH 2120 taught by Professor Gabale,a during the Summer '08 term at Auburn University.

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HW_8_all - 1 Dynamic Force Analysis Homework 8...

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