
At first the object just turns around the stationary axis 
AB at and angular velocity 

 oriented along 
AB.
 Then, 
AB itself turns around the axis 
CD with a constant angular acceleration
 - the acceleration vector is directed along CD.  Now at any instant, the the object is also rotating about CD with an angular velocity vector 

directed along CD. The net angular velocity vector (obtained by the addition of the two vectors)  magnitude is thus given by,

.
The object experience two kinds of angular accelerations, 
i) along CD with magnitude 
 and ii) the other because the angular velocity vector EF itself rotates about CD.
The angle that the vector 
EF has rotated by time 
t is given by 

. Thus, the angular velocity of the particle as a function of time is given by,

This is the last of the problems in the kinematics section of I.E. Irodov. Now we shall move on to the fundamental equation of dynamics.
 
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