The discussion revolves around a rigid body rotating with an angular velocity of 3 radians per second about an axis defined by the expression ax - 2ay + 2az. Participants are exploring how to express this mathematically and clarify the meaning of the given expression.
The discussion is ongoing, with participants providing attempts at solutions and seeking clarification on various aspects of the problem. Some have offered guidance on the need for units and the interpretation of vector notation, while others are questioning the reasoning behind specific expressions and calculations.
There is a mention of the notation used for unit vectors, with some participants noting that ax, ay, and az are alternative representations for the standard unit vectors i, j, and k. The need for clarity on the mathematical expressions and their physical implications is emphasized.
Some books use the notation ax, ay, and az instead of i, j, and k for the Cartesian basis vectors.jedishrfu said:could you elaborate more on the ax - 2ay + 2az expression. Is this supposed to a vector as in ai -2aj +2ak where i,j,k are unit vectors? or is it the description of a plane where all points (x,y,z) reside on this plane ax - 2ay + 2az = constant ?
It would be correct if you had units on there. As far as the reasoning, you are supposed to supply that. Why do you think that's the way to solve this problem?4real4sure said:3. The Attempt at a Solution
w(vector)=w(1,-2,2) / 3 = (1,-2,2)
I need confirmation if this is correct or not. In either case, reasoning would be much appreciated.
Was this just some random combination of symbols? Is the 3 in the denominator because the angular speed is 3 rad/sec?w(vector)=w(1,-2,2) / 3 = (1,-2,2)