Page 52 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 52
Chap. 2 Problems 39
2-8 A connecting rod weighing 21.35 N oscillates 53 times in 1 min when suspended as
shown in Fig. P2-8. Determine its moment of inertia about its center of gravity, which
is located 0.254 m from the point of support.
Figure P2-8.
2-9 A flywheel of mass M is suspended in the horizontal plane by three wires of 1.829-m
length equally spaced around a circle of 0.254-m radius. If the period of oscillation
about a vertical axis through the center of the wheel is 2.17 s, determine its radius of
gyration.
2-10 A wheel and axle assembly of moment of inertia J is inclined from the vertical by an
angle a, as shown in Fig. P2-10. Determine the frequency of oscillation due to a small
unbalance weight w lb at a distance a in. from the axle.
Figure P2-10.
2-11 A cylinder of mass m and mass moment of inertia Jq is free to roll without slipping,
but is restrained by the spring k, as shown in Fig. P2-11. Determine the natural
frequency of oscillation.
