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18 votes
18 votes
find the moment of inertia of a point of mass of 0.005g at a perpendicular distance of 3m from its axis of rotation.

User Patrick Kelleter
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2.6k points

2 Answers

13 votes
13 votes

Answer:

The snapshot of idleness of given point mass still up in the air by,

Where,

- snapshot of idleness

- mass = 0.005 g = ( 0.005/1000 ) = 5 × 10⁻⁶ kg

- opposite distance = 3 m

Put the qualities in the equation,

Hence; the snapshot of idleness of given point mass is 4.5 × 10⁻⁵ kgm².

To find out about snapshot of idleness,

Step-by-step explanation:

Snapshots of dormancy can be found by adding or coordinating over each 'piece of mass' that makes up an article, increased by the square of the distance of each 'piece of mass' to the hub. In vital structure the snapshot of latency is I=∫r2dm I = ∫ r 2 d m .

For a planar item, the snapshot of idleness about a hub opposite to the plane is the amount of the snapshots of dormancy of two opposite tomahawks through a similar point in the plane of the article. The utility of this hypothesis goes past that of computing snapshots of rigorously planar items.

Picture result for track down the snapshot of idleness of a mark of mass of 0.005g at an opposite distance of 3m from its hub of revolution.

What is snapshot of inactivity of an empty circle about a hub going through its middle ? Arrangement : 'I = (2)/(3) MR^(2)', where 'M' is the mass and 'R' is sweep of the empty circle.

User Romanzo Criminale
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3.1k points
23 votes
23 votes

Answer:

Step-by-step explanation:

Given:

m = 0.005 g = 5·10⁻⁶ kg

R = 3 m

__________

J - ?

J = m·R² = 5·10⁻⁶·3² ≈ 45·10⁻⁶ kg·m²

User Mike Hanrahan
by
2.3k points