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The crank of a slider crank mechanism rotates clockwise at a constant speed of 300 rpm. The crank is 150 mm and the connecting rod is 600 mm long. Determine : (i) linear velocity and acceleration of the mid-point of the connecting rod, and (ii) angular ve

Question: 

The crank of a slider crank mechanism rotates clockwise at a constant speed
of 300 rpm. The crank is 150 mm and the connecting rod is 600 mm long.
Determine :
(i)
linear velocity and acceleration of the mid-point of the connecting rod,
and
(ii)
angular velocity and angular acceleration of the connecting rod, at a
crank angle of 45 from inner dead centre position.

Answer: 

 

 

Note: Since D is the midpoint of AB, therefore d' is also midpoint of vector b' a'. Join o' d'. The vector o' d' represents the acceleration of midpoint D of the connecting rod i.e. aD.

 

By measurement, we find that aD = vector o' d' = 117 m/s2

 

Given: Lift = 40 mm Rise = ¼ x 360 = 900 Fall =1/6 x 360 = 600 Dwell = 1/10 x 360 =360