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

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

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Question

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

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