Question

Problem 1 Figure 1 The off-set crank slider mechanism shown in figure 1 is made up by a crank AB rotating in the counter clockwise direction with a speed of n_AB = 200 rpm, a connecting rod BD with mass m_BD = 12 kg and a massless slider D. The dimensions are given by l = 0.8 m, r = 0.2 m and b = 0.6 m. The connecting rod can be considered a long and slender rod. Consider the position where the crank angle ? = 60 deg. Kinematics: a) Applying the principle of relative motion at velocity level, determine the angular velocity ?_AB of the connecting rod BD b) Applying the principle of relative motion at acceleration level, determine the angular acceleration ?_AB of the connecting rod BD c) Determine the linear acceleration of the center of gravity of the connecting rod, (a_G)_BD Kinetics: d) Draw a free-body diagram and a kinetic diagram of the connecting rod e) Determine the magnitude of the reaction force acting on the slider D. f) Determine the forces acting on the connecting rod in hinge B.

          Problem 1
Figure 1
The off-set crank slider mechanism shown in figure 1 is made up by a crank AB rotating in the counter clockwise direction with a speed of n_AB = 200 rpm, a connecting rod BD with mass m_BD = 12 kg and a massless slider D. The dimensions are given by l = 0.8 m, r = 0.2 m and b = 0.6 m.
The connecting rod can be considered a long and slender rod.
Consider the position where the crank angle ? = 60 deg.
Kinematics:
a) Applying the principle of relative motion at velocity level, determine the angular velocity ?_AB of the connecting rod BD
b) Applying the principle of relative motion at acceleration level, determine the angular acceleration ?_AB of the connecting rod BD
c) Determine the linear acceleration of the center of gravity of the connecting rod, (a_G)_BD
Kinetics:
d) Draw a free-body diagram and a kinetic diagram of the connecting rod
e) Determine the magnitude of the reaction force acting on the slider D.
f) Determine the forces acting on the connecting rod in hinge B.

Problem 1
Figure 1
The off-set crank slider mechanism shown in figure 1 is made up by a crank AB rotating in the counter clockwise direction with a speed of nAB = 200 rpm, a connecting rod BD with mass mBD = 12 kg and a massless slider D. The dimensions are given by l = 0.8 m, r = 0.2 m and b = 0.6 m.
The connecting rod can be considered a long and slender rod.
Consider the position where the crank angle ? = 60 deg.
Kinematics:
a) Applying the principle of relative motion at velocity level, determine the angular velocity ?AB of the connecting rod BD
b) Applying the principle of relative motion at acceleration level, determine the angular acceleration ?AB of the connecting rod BD
c) Determine the linear acceleration of the center of gravity of the connecting rod, (aG)BD
Kinetics:
d) Draw a free-body diagram and a kinetic diagram of the connecting rod
e) Determine the magnitude of the reaction force acting on the slider D.
f) Determine the forces acting on the connecting rod in hinge B.

Added by David R.

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