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0593_C16_fm Page 570 Tuesday, May 7, 2002 7:06 AM

570 Dynamics of Mechanical Systems

P16.6.2: Repeat Problem P16.6.1 if a, b, and d have the values a = 5 cm, b = 3.25 cm, and
d = 0.75 cm.
P16.6.3: Repeat Problem P16.5.1 if the follower axis is offset from the cam rotation axis by
3/8 in.
P16.6.4: Repeat Problem P16.5.2 if the follower axis is offset from the cam rotation axis by
1.0 cm.

Section 16.8 Analytical Construction of Cam Profiles
P16.8.1: Consider the follower rise function represented graphically in Figure P16.8.1. Find
an analytical expression for the function.

Dwell
Dwell Dwell

FIGURE P16.8.1
Graphical representation of a follower 90° 135° 360°
rise function. 0 225° 270°

P16.8.2: Consider the follower rise function represented graphically in Figure P16.8.2. Find
an analytical expression for the function.

4 cm

2 cm

FIGURE P16.8.2
Graphical representation of a follower 0 45° 90° 180° 270° 360°
rise function.

Section 16.10 Use of Singularity Functions

P16.10.1: See Problem P16.8.1. Use singularity functions to describe the follower rise
function of Figure P16.8.1.
P16.10.2: See Problem P16.8.2. Use singularity functions to describe the follower rise
function of Figure P16.8.2.

Section 16.11 Parabolic Rise Function
P16.11.1: Consider the follower rise function shown graphically in Figure P16.11.1. Let the
transitions between the dwell regions and the rise/fall regions be accomplished with
parabolic shapes of the same size. That is, let the form of h(θ) at A, B, C, and D be parabolic.
Determine an analytical representation of h(θ).
P16.11.2: Repeat Problem P16.11.1 if the difference in elevations of the dwell regions of
Figure P16.11.1 is 8 cm instead of 3 in.
P16.11.3: Consider the use of a circular arc to smooth the transition between a dwell and
a linear rise as suggested in Figure P16.11.3. (A circular arc is easier to fabricate than a