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Answers
Explanation:
Question
Three equal masses are kept at P(x₁, y₁), Q(x₂, y₂) and R(X₃, Y₃) in a coordinate system show that, tgere centre of mass coincides with the centroid of the triangle PQR.
Answer
Given :
Three equal masses are kept at P(x₁, y₁), Q(x₂, y₂) and R(X₃, Y₃) in a coordinate system
Solution :
Let the masses of the three particles be m₁, m₂ and m₃ respectively, the centre of mass C of the system of the three particles is defined and located by the co-ordinate les (x, y) given by,
\sf X = \dfrac{m_1x_1 + m_2x_2 + m_3x_3}{m_1 + m_2 + m_3}X=m1+m2+m3m1x1+m2x2+m3x3
\sf Y = \dfrac{m_1y_1 + m_2y_2 + m_3y_3}{m_1 + m_2 + m_3}Y=m1+m2+m3m1y1+m2y2+m3y3
For the particles of equal mass m₁ = m₂ = m₃ = m
\sf x = \dfrac{m(x_1 + x_2 + x_3)}{3m}x=3mm(x1+x2+x3)
\sf x = \dfrac{x_1 + x_2 + x_3}{3}x=3x1+x2+x3
\sf y = \dfrac{m(y_1 + y_2 + y_3)}{3m}y=3mm(y1+y2+y3)
\sf y = \dfrac{y_1 + y_2 + y_3}{3}y=3y1+y2+y3
Thus, for three particle of equal mass, the centre of mass coincides with the centroid of the triangle formed by the particle.
JOY200opinion
exact
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\huge\underline\mathrm\purple{Answer}Answer
x - (15/20)= 19
x - 3/4 = 19
4x-3=19
____
4
4x-3=19x4
4x-3= 76
4x=76+3
4x=79
x=79/4
is correct answer
A wire is in the form of a square of side 27.5 cm . it is straightened and bent in the form of circle . find the area of the circle a circular pond is surrounded by a 2m wide circular path .if the outer circumference of the circular path is 44 m find the inner circumference of the circular path .also find the area of the path.