Question

!. What is the center of mass (COM) of an object? 2. Where is the center of mass located on an object? What factors influence its location? 3. List at least 2 ways to find or locate the center of mass of an object? 4.How does symmetry affect the location of an object's center of mass? 5. What does COM have to do with stability of an object, and whether it falls over? 6. Put your heels against a wall, and without bending your knees, touch your toes, Explain what happened below. Explain why it may happen to somaone else?

Answer 1

1) Center of mass is a point at which all the mass can be considered to be concentrated.The concept of center of mass is that of an average of masses factored by their distances from reference point.

2) Center of mass is position which is represented relative to an object or system of objects.It is average position of all parts of the system, weighted according to their masses.For simple rigid objects with uniform density center of mass located at the centeroid.

Distribution of mass i.e. amount of mass and it's distance from reference point influence location of center of mass.

3) Ways of finding Center of mass of an object-

For an object with uniform density one can find Center of mass by finding Centeroid.

For discrete point mass m1 and m2 at distance x1 and x2 from reference frame Center of mass located at

For continuous distribution of mass it is

Xcm=

"/" represents division.

4)It is easy to calculate location of center of mass for symmetric object.Center of mass for symmtric object lies on axis of symmetry and on plane of symmetry if object has uniform density.Thus symmetry plays an important role.

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