Physics centre of mass assignment

CALCULATION OF COM
1 Can centre of mass of abody coincide with the geometrical centre of the body?
Ans. Yes, when a body hasa uniform mass density, its centre of mass of shall coincide with its
geometrical centre.
2. If one of the particles is heavier than the other, to which side will their centre of mass shift?
Ans. The centre of mass will shift closer to the heavier particle.
3. Does centre of mass of a system of two particles lie on the line joining the particles?
Ans. Yes, always.
Can centre of mass of a body lie at a point where there is absolutely no mass?
Ans. Yes, it can: For example, centre of mass of a uniform circular ring lies at the centre of ring,
where there is no mass.
5. Where does centre of mass of a uniform triangular lamina lie?
Ans. It lies at the centroid of the triangular lamina i.e. where the three
intersect.
medians of the triangle
6. Three particles of mass 1 kg, 2 kg and 3 kg are placed at the corners A, B and C
an equilateral triangle ABC of edge 1 m. Find the distance of their centre of respectively of
mass from A.
V19
Ans.
6
,7. Findthe distance of centre of mass of a uniform plate having
eries of radii a and b from the centre O. semicircular inner and outer bound




4(b-a)
Ans. 3n (b-a)
, 8. Find the position of centre of mass of the uniform planner section shown in figure with respect tn
the origin (0)




2a




2a