Question

For the engine system of Prob. 15.C3 of Chap. 15, the masses of piston P and the connecting rod BD are 2.5 kg and 3 kg, respectively. Knowing that during a test of the system no force is applied to the face of the piston, use computational software to calculate and plot the horizontal and vertical components of the dynamic reactions exerted on the connecting rod at B and D for values of from 0 to 180° Prob. 15.C3 In the engine system shown, 1160 mm and b 60 mm. Knowing that crank AB rotates with a constant angular velocity of 1000 rpm clockwise, use computational software to determine and plot for values of θ from 0 to 180° and using 10° increments, (a) the angular velocity and angular acceleration of rod BD, (b) the velocity and acceleration of the piston P Fig. P15.C3

Answer 1

b*sin(e)Ø-arcsin(bsin(e)/I) w1(rad/s)2 angular accelaration velocity accelaration 0-904713.737 617.6033906 -2989.71-894221.235 1239.162436 -5825.1-863413.528 1864.471467-8360.55-814152.387 2485.040668-10468.4-749070.383 3080.575056-12048.9-670961.897 3617.500296 -13040.3-582177.824 4051.641669 -13426.9-484319.527 4336.527844-13242.6378500.778 4436.057287 -12566.4-266163.437 4336.527844-11508.3-149988.935 4051.641669 -10190.234239.0589 3617.500296-8725.33 75795.80242 3080.575056-7203.89174912.692 2485.040668 -5686.61 259003.6977 1864.471467-4205.82 325491.3648 1239.162436 -2770.81 373172.3957 617.6033906 -1374.55 401733.8227 4.32972E-13 -9.6E-13 411233.5167 0 0 0.174533 10.41889066 0.065164175 0.349066 20.5212086 0.128611822 0.523599 30 0.698132 38.56725658 0.243442821 0.872665 45.96266659 0.291372 1.04719851.961524230.330757462 1.2217356.381557250.360118071 1.396263 59.088465180.37825879 1.570796 60 1.745329 59.088465180.37825879 1.919862 56.381557250.360118071 2.094395 51.96152423 0.330757462 2.268928 45.96266659 0.291372 2.443461 38.56725658 0.243442821 2.617994 30 2.792527 20.52120860.128611822 2.96706 10.41889066 0.065164175 3.141593 7.35089E-15 4.59431E-17 104.72 39.26990817 104.7238.75556614 104.72 37.20895565 104.7234.62278696 104.72 30.99646117 104.72 26.35297108 104.72 20.76022861 104.72 14.35168526 104.727.337868694 104.72 2.59494Е-15 104.72 -7.337868694 104.7214.35168526 104.7220.76022861 104.72-26.35297108 104.72 30.99646117 104.72-34.62278696 104.72-37.20895565 104.72 -38.75556614 104.72- 2 0.188616386 0.384396774 10 12 13 14 15 16 17 18 0.188616386 39.26990817

Angular Accelaration Angular velocity 5000 50 4500 40 4000 30 3500 20 10 2500 2000 10 1500 20 30 500 0.5 Activate 35indows 3.5

600000 Accelaration Velocity 400000 0.5 1.5 2.5 3.5 2000 200000 6000 -200000 8000 Series 1 -10000 4111)(1) 12000 800000 -14000 1000000 1 16000