Three particles are situated on a light and rigid rod placed along Y-axis. If the system rotates about X-axis, the M.I. of the system is :

Three particles are connected by light, right rods lying along the y-axis. If the system rotates about the x-axis with an angular speed of 2 rad/s, the M.I. of the system is

Two uniform thin rods each of mass M and length I are placed along X and Y-axis with one end of each at the origin. M.I. of the system about Z-axis is

Two particles of masses m_1 and m_2 are joined by a light rigid rod of length r. The system rotates at an angular speed omega about an axis through the centre of mass of the system and perpendicular to the rod. Show that the angular momentum of the system is L=mur^2omega where mu is the reduced mass of the system defined as mu=(m_1m_2)/(m_1+m_2)

Two particles of masses m_1 and m_2 are joined by a light rigid rod of length r. The system rotates at an angular speed omega about an axis through the centre of mass of the system and perpendicular to the rod. Show that the angular momentum of the system is L=mur^2omega where mu is the reduced mass of the system defined as mu=(m_1m_2)/(m_1+m_2)

Two particles of masses m_1 and m_2 are joined y a light rigid rod of length r. The system rotates at an angular speed omega about an axis through the centre of mass of the systemand perpendicular to the rod. Shwo thast the angular momentum of the system is L=mur^2omega where mu is the reduced mass of the system defined as mu=(m_1m_2)/(m_1+m_2)

Two small spheres of masses 10 kg and 30 kg are joined by a rod of length 0.5 m and of negligible mass. The M.I of the system about a normal axis through centre of mass of the system is