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n200080 [17]
3 years ago
13

Four equal masses m are located at the corners of a square of side L, connected by essentially massless rods. Find the rotationa

l inertia of this system about an axis (a) that coincides with one side and (b) that bisects two opposite sides.
Physics
1 answer:
skelet666 [1.2K]3 years ago
3 0

Answer:

Explanation:

a )

Moment of inertial of four masses about axis that coincides with one side :

Out of four masses . location of two masses will lie on the axis so their moment of inertia will be zero .

Moment of inertia of the two remaining masses

= m L² + m L²

= 2 mL²

b )

Axis that bisects two opposite sides

Each of the four masses will lie at a distance of L / 2 from this axis so moment of inertia of the four masses

= 4 x m x ( L/2 )²

= 4 x  mL² / 4

= m L² .

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