Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

Refer to the given figure showing an equilateral triangular lamina divided into strips parallel to the base \( MN \). The centre of mass of each individual narrow strip lies at its midpoint, so the centre of mass of the whole lamina lies on the median \( LP \). By similarly considering strips parallel to the other two sides, the centre of mass of the entire triangular lamina \( LMN \) must be located at:

1. The centroid \( G \) of triangle \( LMN \)
2. The orthocentre of triangle \( LMN \)
3. The midpoint of the median \( LP \)
4. The circumcentre of triangle \( LMN \)