ME 560 Kinematics.
Class Test 1
Fall Semester 2010
Friday, September 10th
Name of Student
: ________________________________
OPEN BOOK AND OPEN NOTES
Problem 1 (20 points).
For Problems 1.8 and 1.12, see pages 42 and 43, determine:
(i) the number of lower pairs and the number of higher pairs; and
(ii) the mobility of each mechanism using the Kutzbach mobility criterion. Does this criterion provide
the correct answers for each mechanism? Briefly explain why or why not.
Problem 2 (30 points).
Consider the inverted slider-crank mechanism shown in Example 3.3, see Figure
3.11(a), page 114, and repeated below as Figure 1. The specified dimensions are
2
O A
3inches,
=
4
O C
AB
2 inches
=
=
and
2
4
O O
14 inches.
=
In this position, the input angle
o
2
2
4
AO O
30
θ
= ∠
=
,
and the angle between link 3 (i.e., AB) and link 4 (i.e., the line CF in link 4) is a right angle. The
distance from point C to point F is 16 inches.
(i) Determine the mobility of the mechanism using the Kutzbach mobility criterion. Does this criterion
provide the correct answer for this mechanism? Briefly explain why or why not.
(ii) Determine the distance from point C to pin B and the angle between link 4 (i.e., the line
4
O C
) and
the X-axis.
(iii) Determine the X and Y coordinates of point F.
(iv) Draw the vectors on Figure 1 that are necessary for a kinematic analysis of the mechanism. Label
and show the direction of each vector.
(v) Write the vector loop equation(s) and identify a suitable input (or inputs) for the mechanism. List the
known quantities, the unknown variables, and any constraints. If you identify constraint(s) then write the
constraint equation(s).

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