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Elasticity

55.An equilat...

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55.An equilateral triangle has mass "m" on all its vertices, what is the force acting on the centroid of mass "2m"?

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Q. Three equal masses

2

m

each are placed at the vertices an equilateral triangle PQR

(i)

What is the force acting on a mass

m

placed at the centroid

G

of the triangle?

(i i)

What is the force on mass

m

if the mass at the vertex

P

is quadrupled?
Take

P G = Q G = R G = 1

m

Q. Three masses each of mass m are placed at the vertices of an equilateral triangle ABC of side l as shown in the figure. The force acting on a mass 2m placed at the centroid O of the triangle is:

Q. Three equal masses of m kg each are fixed at the vertices of an equilateral triangle ABC.
a. What is the force acting on a mass

2

m placed at the centroid G of the triangle?
b. What is the force if the mass at the vertex A is doubled? Take AG

=

=

= 1

Q. Three equals masses of

m k g

each are fixed at the vertices of an equilateral triangle

A B C

, a shown in Fig.

8.10

.
(a) What is the force acting on a mass

2 m

placed at the centroid

G

of the triangle?
(b) What is the force if the mass at the vertex

A

is doubled?
Take

A G = B G = C G = 1 m

Q. Three equal masses of

1 kg

each are placed at the vertices of an equilateral triangle

PQR

2 kg

is placed at the centroid

O

of the triangle which is at a distance of

\sqrt{2} m

from each of the vertices of the triangle. The net force (in Newton), acting on the mass of

2 kg

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