An object consists of a rod (of length 4.0 m and negligible moment of inertia)to which five small 2.0-kg masses are attached,one at each end and one at each point on the rod 1.0 m from each end.(The masses are one meter apart. )The moment of inertia of this object about an axis perpendicular to the rod and through one of the end masses: A) is 60 kg·m². B) is 20 kg·m². C) is 32 kg·m². D) is 8 kg·m². E) cannot be uniquely determined until it is stated which inner mass the axis goes through.

Question

Quizplus · Accepted Answer

The moment of inertia is calculated by summing $ m \times r^2 $ for each mass, where $ m = 2 \, \text{kg} $ and $ r $ is the distance from the axis. The distances are 0 m, 1 m, 2 m, 3 m, and 4 m, resulting in $ 2(0^2) + 2(1^2) + 2(2^2) + 2(3^2) + 2(4^2) = 60 \, \text{kg} \cdot \text{m}^2 $.

An Object Consists of a Rod (Of Length 4