First slide

Centre of mass(com)

Question

An insulated particle of mass m is moving in a horizontal plane (x-y) along the X-axis. At a certain height above the ground, it suddenly explodes into two fragments of masses m/4 and 3m/4.An instant later, the smaller fragment is at Y= +15 cm. The larger fragment at this instant is at:

Easy

A

Y = -5 cm
B

Y= +20 cm
C

Y= +5 cm
D

Y=-20 cm

Solution

Initially y-coordinate of center of mass is zero. After explosion y-coordinate of center of mass of the particles should be zero.
$\Rightarrow y_{c m} = 0 \Rightarrow \frac{m}{4} \times (15) + \frac{3}{4} m (Y) = 0 \Rightarrow Y = - 5 cm$

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