Chapter 10: Q14P (page 517)

$T = \frac{1}{2} m (ω \times r) \cdot (ω \times r)$

Short Answer

Expert verified

B is an axial vector.

Step by step solution

Given information.

Physics definitions are given.

Definition of Kinetic Energy.

Define Kinetic Energy.

$T = \frac{1}{2} m (ω \times r) \cdot (ω \times r)$

Write about the nature of various vectors.

It is proved earlier that the vector product of an axial and a polar vector results in a polar vector.

It is also known that the scalar product of polar vectors is a scalar vector.

Make an appropriate conclusion.

The above reasoning implies that $T = \frac{1}{2} m (ω \times r) \cdot (ω \times r)$ is a scalar.

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$T = \frac{1}{2} m (ω \times r) \cdot (ω \times r)$

Short Answer

Step by step solution

Given information.

Definition of Kinetic Energy.

Write about the nature of various vectors.

Make an appropriate conclusion.

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T=12m(ω×r)⋅(ω×r)

Short Answer

Step by step solution

Given information.

Definition of Kinetic Energy.

Write about the nature of various vectors.

Make an appropriate conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

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Study anywhere. Anytime. Across all devices.

$T = \frac{1}{2} m (ω \times r) \cdot (ω \times r)$