4. In the mechanism shown in Figure 4, the link AB has a mass of 10Kg, a centre of gravity 0.2m from A, and aradius of gyration about the centre of gravity of 0.22m. If the mechanism is driven by the crank OA at 500rpm,for the position shown:(a) (i) Show by kinematic analysis that the angular acceleration of link AB is 483rad/s² (Anticlockwise)(ii) Show also that the acceleration of the centre of gravity of link AB in the X and Y direction isrespectively, fcx = 347.6m/s² (to the right) and fey = 299.7m/s² (downwards).Hence,(b) (i) Determine the forces at O and Q.(ii) Show the direction of the forces by means of clearance diagrams(c) Determine the torque about O.A21°45°Figure 4. Four bar linkage mechanismBOA = 0.2mOQ = 0.6mBQ = 0.4mAB = 0.6m63° Q

Answered: Image /qna-images/answer/221ecb5f-13f9-42fe-a09b-7c1227e54173.jpg

Answered: 4. In the mechanism shown in Figure 4,…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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3. A simple connecting rod mechanism has a rod 250mm long and a crank radius of 75 mm. The connecting rod has a mass of 1.5kg, its centre of gravity is 75mm from the large end and it has a radius of gyration about the centre of gravity of 100mm. When the crank angle is 30° and the crankshaft speed is 3000rpm clockwise: (a) (i) Show by kinematic analysis that the angular acceleration of the connecting rod is 13,940 rad/s² (clockwise) (ii) Show also that the acceleration of the centre of gravity (C) in the X and Y direction is respectively, fcx = 6759m/s² (to the right) and fcy = 2590.8m/s² (downwards). Hence, find the magnitude and direction of the forces acting on the frame of the engine due to the inertia of the connecting rod as follows: (b) The force exerted by the cylinder wall on the piston at B (c) The force on the main bearing at O (d) The torque input or output at the crank B Figure 3. Connecting rod mechanism C A 30° O
Another very common basic mechanism is the "four-bar" (the ground is considered one of the bars). The class has designed this demonstration four-bar with dimensions 2.2ft , 4.6ft and 1.0ft . In the position shown, coupler BC is horizontal, rocker CD is vertical and are easily found), and crank AB is rotating at a constant angular (therefore dimensions velocity of 11.8 rad/s Determine the angular velocity of rocker CD. NOTE: Magnitude should be entered here, direction in part 2 of this problem. A LAB WAB B 0A counterclockwise. LAD LBC D LCD
2
B4
Please help
The mechanism below has a crank that revolves clockwise at point O at a speed of 2000 rpm. Using vector diagrams, determine: a) The linear velocity of the piston and the angular velocity of the link AB about A. b) The angular acceleration of the link AB about A and the inertial resistance produced by the piston. c)Using trigonometry, confirm your results for the velocity in parts (i), explain your reasons behind which method is preferable, and identify the error margin for your velocity answers.
Find the magnitude and position of the balancing mass at a radius of 12cm by using graphical method. Three masses m1, m2, m3, are attached to a shaft and revolve in the same plane. The masses are 10kg, 8kg, and 20kg respectively and their radii of rotations are 4cm, 5cm, 6cm.The angular position of the masses m2, m3 are 45° and 135° from the mass m1.
The device in the figure, B and C are pins, the center disk C rolls without sliding on the contact D, and the bar 4 slides inside the guide 5, whose pin A is mounted on the bar OB. Angular velocity ω1 and a known angular acceleration ?1 are known. At the instant shown, find: a) The angular velocity of the bar 4 b) The angular acceleration of bar BC Data: OA = ?, AB = 2?
please I need Answer speed time
3
Example 4: In the mechanism shown, the crank OA rotates at 20 r.p.m. anticlockwise and gives motion to the sliding blocks B and D. The dimensions of the links are OA = 300 mm; AB = 1200 mm; BC = 450 mm and CD = 450 mm. For the given configuration, compute: 1. Velocities of sliding at B and D, 2. The angular velocity of CD, 3. The linear acceleration of D, and 4. The angular acceleration of the link CD. B w he 1050 mm
5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity w and angular acceleration a (both counterclockwise). 6) if W = 5.3 rad/s and Q = 7.0 rad/s?, length I = 1.8 m, and angle 0= 36°, what is the angular acceleration of link AB in rad/s?? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. 0.5 m O, a

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