Three particles of masses 1 g, 2g and 3 g are kept at points (2cm,0), (0.6 cm), (4cm, 3cm) find moment of inertia of all three particles (in gm`-cm(2))` about (a) x-axis (b). Y-axis (c). Z-axis.
Text Solution
AI Generated Solution
To find the moment of inertia of three particles about the x-axis, y-axis, and z-axis, we will use the formula for the moment of inertia \( I = \sum m_i r_i^2 \), where \( m_i \) is the mass of the particle and \( r_i \) is the perpendicular distance from the axis of rotation to the particle.
### Given Data:
- Masses and positions of the particles:
- Particle 1: Mass = 1 g, Position = (2 cm, 0 cm)
- Particle 2: Mass = 2 g, Position = (0 cm, 6 cm)
- Particle 3: Mass = 3 g, Position = (4 cm, 3 cm)
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