How do you do this question?

Physics

1 answer:

Arisa [49]3 years ago

5 0

Explanation:

The moment of inertia of a solid sphere about any axis passing through its center is I = 2/5 MR².

The moment of inertia of the solid cylinder about Axis A is I = 1/12 m (3r² + L²). The moment of inertia about Axis C is I = 1/2 mr².

According to parallel axis theorem, the moment of inertia of an object about an offset axis is I = I₀ + md², where d is the offset.

(a) The moment of inertia of the rod is I = 1/12 m (3r² + L²).

Using parallel axis theorem, the moment of inertia of each sphere is I = 2/5 MR² + M (R + L/2)².

The total moment of inertia is therefore:

I = 1/12 m (3r² + L²) + 2 [2/5 MR² + M (R + L/2)²]

I = 1/12 m (3r² + L²) + 4/5 MR² + 2M (R + L/2)²

(b) The moment of inertia of the right sphere is I = 2/5 MR².

The moment of inertia of the rod is I = 1/12 m (3r² + L²) + m (R + L/2)².

The moment of inertia of the left sphere is I = 2/5 MR² + M (2R + L)².

The total moment of inertia is therefore:

I = 2/5 MR² + 1/12 m (3r² + L²) + m (R + L/2)² + 2/5 MR² + M (2R + L)²

I = 4/5 MR² + 1/12 m (3r² + L²) + m (R + L/2)² + M (2R + L)²

The moment of inertia of the rod is I = 1/2 mr².

The total moment of inertia is:

I = 2/5 MR² + 2/5 MR² + 1/2 mr²

I = 4/5 MR² + 1/2 mr²

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When you jump from an elevated position you usually bend your knees upon reaching the ground. By doing this, you make the time o

dsp73

Answer:

c. about 1/10 as great.

Explanation:

While jumping form a certain height when we bend our knees upon reaching the ground such that the time taken to come to complete rest is increased by 10 times then the impact force gets reduced to one-tenth of the initial value when we would not do so.

This is in accordance with the Newton's second law of motion which states that the rate of change in velocity is directly proportional to the force applied on the body.

Mathematically:

$F\propto\frac{d}{dt} (p)$