# Problems Pertaining to Rigid Body Rotation

Not what you're looking for?

** Please see the attachment for the complete problem description **

A rigid body is spinning with an angular speed of 60pie radians per second (1800 rpm). The axis of rotation lies in the direction of the vector 2i + 2j -k. A small particle on the spinning body with mass of one kilogram passes through the point P with position vector r = xi + yj + zk measured in meters relative to the origin. The origin lies on the axis of rotation.

(i) Explain why the angular velocity (in units of radians per second) of the spinning rigid body is given by the vector 20pie (2i + 2j - k).

(ii) What is the velocity (vector) of the particle as it passes through the point P?

(iii) Find an expression for the kinetic energy E of the particle, given in terms of its mass m and its speed v by E = 0.5mv^2.

##### Purchase this Solution

##### Solution Summary

In this solution, we solve three problems pertaining to the rotation of a rigid body.

##### Solution Preview

** Please see the attachment for the complete solution response **

(i) We have and: (please see the attached file)

whence: ...

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Probability Quiz

Some questions on probability