Solved: A diatomic molecule can be modeled as two point

Chapter 9, Problem 2DQ

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QUESTION:

A diatomic molecule can be modeled as two point masses,\(m_{1}\) and \(m_{2}\)slightly separated (Fig. Q9.2). If the molecule is oriented along the\(y \text {-axis }\), it has kinetic energy  when it spins about the \(x \text {-axis }\). What will its kinetic energy (in terms of ) be if it spins at the same angular speed about

(a) the \(z \text {-axis }\) and

(b) the \(y \text {-axis }\)?

Equation Transcription:

 

 

Text Transcription:

m_1

m_2

y-axis

x-axis

z-axis

y-axis

Questions & Answers

QUESTION:

A diatomic molecule can be modeled as two point masses,\(m_{1}\) and \(m_{2}\)slightly separated (Fig. Q9.2). If the molecule is oriented along the\(y \text {-axis }\), it has kinetic energy  when it spins about the \(x \text {-axis }\). What will its kinetic energy (in terms of ) be if it spins at the same angular speed about

(a) the \(z \text {-axis }\) and

(b) the \(y \text {-axis }\)?

Equation Transcription:

 

 

Text Transcription:

m_1

m_2

y-axis

x-axis

z-axis

y-axis

ANSWER:

Solution 2DQ

Step 1 of 2:

Given that, the kinetic energy of the diatomic molecule when it is rotating along x-axis is K.

Since the diatomic molecules are at equal distance from the axis of rotation along x-axis and y-axis, as shown in the figure below

1 cubic yard.jpg

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