Solution:
The simplified kinematic diagram:
Calculate the angular velocity of crank:
Calculate the velocity of the point B:
As the angular velocity is directed perpendicular to the movement of link, the orientation of north of west.
Velocity of link C:
Velocity of link E:
Velocity of link F:
The velocity image will be as below:
From the velocity diagram, measure the length of different vectors and angles to calculate velocities of various points:
Calculate the normal or radial acceleration of B:
As the normal acceleration is directed inwards to the link, the direction of this acceleration is south of west.
Now calculate the normal or radial acceleration of C
As the normal acceleration is directed inwards to the link, the direction of this acceleration is south of west.
Calculate the normal or radial acceleration of E
As the normal acceleration is directed inwards to the link, the direction of this acceleration is south of west.
Calculate the normal or radial acceleration of C with respect to B
As the normal acceleration is directed inwards to the link, the direction of this acceleration is south of west.
Calculate the normal or radial acceleration of E respect to C
As the normal acceleration is directed inwards to the link, the th direction of this acceleration is south of east.
Now calculate the normal or radial acceleration of F with respect to E
As the normal acceleration is directed inwards to the link, the direction of this acceleration is south of east.
Draw acceleration image to scale of the material handling mechanism:
From the acceleration daigram , measure the lengths of vector to calculate tangential acceleration of slider:
horizontally towards west
Now calculate the weight of piston
Calculate the force acting on piston by virtue of its tangential acceleration
Now draw the free body daigram of piston
Forces in horizontal direction:
Forces in vertical direction:
From the equation 2 into equation 1 :
Now draw the free body diagarm of link 4 as shown below:
Consider moment equilibrium of link 4 about point D:
Now draw the free body diagarm of link 2
Consider moment equilibrium of link 4 about point A:
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