Phys 1L03
Tutorial session
Set 8
Eight series: Questions on Center of mass, Torque and equilibrium
Concept:
1.
Three masses, 2.0 kg, 3.0 kg, and 6.0 kg, are located at points (3.0, 0), (6.0, 0), and (4.0, 0),
respectively, in meters from the origin. Where is the center of mass of this system?
2.
A dumbbell, Figure below, has a connecting bar of negligible mass. Find the location of the center of
mass
a.
if m
1
and m
2
are each 5.0 kg and
b.
if m
1 is
5.0 kg and m
2
is 10.0 kg.
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A water molecule consists of an oxygen atom and two
hydrogen atoms. Oxygen has a mass of 16 atomic units (u) and
each hydrogen has a mass of 1 u. The hydrogen atoms are each
at an average distance of 96 pm ( 96 x 10 12 m) from the
oxygen atom, and are separated from one another by an angle
of 104.5
o
. Find the center of mass of a water molecule.
4.
Two children are balanced on a seesaw of negligible mass. (This assumption is made to keep the
example simple.) The first child, sitting on left side of the pivot, has a mass of 26.0 kg and sits 1.60 m
from the pivot. The second child, sitting on right side of pivot, has a mass of 32.0 kg and 1.3 m from
the pivot.
Calculate the position of center of mass of the two children:
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 Spring '11
 HUGHES
 Physics, Center Of Mass, Force, Mass, kg, flexor muscle

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