Rotation's tension

Errr...i'm stuck somewhere. Can someone help me out?

In the diagram, a vertical rod 'A' is attached to a platform which is rotating with angular velocity \omega _{1} around the X-axis.

A second rod 'B' is attached to the first rod and is rotating in the Z-axis with an angular velocity \omega _{2}.

A third rod 'C' is attached to the second rod and is rotating in the Y-axis with an angular velocity \omega _{3}.

Find the axes of rotation of the two rods taken at a time and the system as such.

9 Answers

1
The Enlightened One - jsg ·

first query : are all the rods similar ones [ or is it given ? ]

1
1.618 ·

Not given; take them as similar.

·

the system has no axis of rotation

1
1.618 ·

:) It has.

Think in terms of all three planes!

1
pranav ·

will it be at 45 degree....in between the two axes...taken (any 2 axes taken???)

1
1.618 ·

For the rods taken one at a time, it is very clear. What about taking two and three at a time?

1
1.618 ·

Well, pranav bhai...u stumbled onto the right track, nearby. CAn you elaborate?

@ all...I want a complete proof.

1
pranav ·

ok assuming that one and 2 rods are on X and Y axes.....then i feel ...that the axis wud be -45 degree ( 45 degree below the x axis....)...vaise where is this question from?

1
Techboy ·

B FOR AXIS ALONG Z
A AXIS ALONG IS X
C AXIS ALONG IS Y

WHEN B AND C AS A SYSTEM-AXIS IS ZY
A AND B AS A SYSTEM-AXIS IS XZ
ABC AS A SYSTEM-AXIS IS XYZ

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