A particle has an angular speed of 3 rad / s and the axis of rotation passes through the points (1,1,2) and (1,2,−2). Find the velocity of the particle at point
Question
A particle has an angular speed of 3 rad / s and the axis of rotation passes through the points (1,1,2) and (1,2,−2). Find the velocity of the particle at point
Solution
To find the velocity of the particle, we need to know its position relative to the axis of rotation. However, you haven't provided the position of the particle. The velocity of a particle moving in a circular path is given by the cross product of the angular velocity vector and the position vector (relative to the axis of rotation).
The angular velocity vector is given by ω = 3k (assuming the positive direction is counterclockwise).
The position vector r would be the vector from any point on the axis of rotation to the particle. But as I mentioned, we don't have the particle's position.
If you provide the position of the particle, we can proceed with finding the velocity.
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