Page 242 - Thomson, William Tyrrell-Theory of Vibration with Applications-Taylor _ Francis (2010)
P. 242
Chap. 7 Problems 229
P R OB L E MS
7-1 List the displacement coordinates Uj for the plane frame of Fig. P7-1 and write
the geometric constraint equations. State the number of degrees of freedom for the
system.
Figure P7-1.
j
7-2 Choose the generalized coordinates Q for the previous problem and express the w,
j
coordinates in terms of Q.
7-3 Using the method of virtual work, determine the equilibrium position of a carpenter’s
square hooked over a peg, as shown in Fig. P7-3.
Figure P7-3.
7-4 Determine the equilibrium position of the two uniform bars shown in Fig. P7-4 when a
force P is applied as shown. All surfaces are friction-free.
////////z ____
Figure P7-4.
7-5 Determine the equilibrium position of two point masses and m2 connected by a
massless rod and placed in a smooth hemispherical bowl of radius P, as shown in Fig.
P7-5.
Figure P7-5.
