Three beads are placed along a thin rod. The first bead, of mass*m*_{1} = *27* g, is placed a distance *d*_{1} = *0.55* cm from the left end of the rod. The second bead, of mass *m*_{2} =*11* g, is placed a distance *d*_{2} = *1.9* cm to the right of the first bead. The third bead, of mass *m*_{3} = *45* g, is placed a distance *d*_{3} = *4.8* cm to the right of the second bead. Assume an x-axis that points to the right.

a)Write a symbolic equation for the location of the center of mass of the three beads relative to the left end of the rod, in terms of the variables given in the problem statement. *x*_{cm} =

b)Find the center of mass, in centimeters, relative to the left end of the rod.

c)Write a symbolic equation for the location of the center of mass of the three beads relative to the center bead, in terms of the variables given in the problem statement.

d)Find the center of mass, in centimeters, relative to the middle bead.