Question

A system consisting of two masses connected by a massless rod
lies along the X-axis. A 0.4 kg mass is at a distance x = 2 m while
a 0.6 kg mass is at x = 7 m. Find the x coordinate of the centre
of mass.

Answer 1

The value of x coordinate of the centre  of mass is 5 m.

Explanation:

• The x-coordinate of center of mass  can be determined as given below.

Coordinate "x"  = m1 . x1 + m2 . x2 / m1 + m2

• In this formula

• m1=0.4 kg
• x1 = 2 m
• m2=0.6 kg
• x2 = 7 m

Now by putting the values in the above equation it gives us.

x = 0.4 × 2 + 0.6 + 70.4 + 0.6

x = 5 / 1 =5 m

Hence the value of x coordinate of the centre  of mass is 5 m.

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Find the coordinate of the point (i) whose ordinate is -4 and which lies on x-axis  (ii)whose abscissa is 2 and which lies in the y-axis?

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