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10th Edition

Ron Larson + 1 other

ISBN: 9781285057095

Textbook Problem

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Circular MotionIn Exercises 31–34, consider an object moving according to the porition vector

Determine the direction of T and N relative to the position vector r.

To determine

**To calculate:** The directions of **T** and **N** relative to the position vector

Explanation

**Given:**

The position vector js,

**Formula used:**

The magnitude of the vector is:

If,

The principle unit tangent and normal vectors are:

**Calculation:**

Consider the provided position vector is,

Now, differentiate provided position *t* therefore,

Now find the magnitude of the velocity vector.

Then the magnitude of velocity vector is,

Now, find, the unit tangent vector,

Now, differentiate unite tangent vector *t*. then,

Now, find the magnitude of the

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