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13 Velocity and acceleration of rigid body 2D<br />
<br />
V<br />
y<br />
x<br />
U<br />
V U<br />
y<br />
x<br />
U V<br />
Y<br />
X<br />
Linear<br />
Velocity<br />
diagram<br />
Rigid body,<br />
rotating at<br />
angular <br />
speed<br />
Linear<br />
acceleration<br />
diagram<br />
Notice the<br />
sign<br />
difference<br />
Nasser M. Abbasi<br />
Drawing_rigid_body_rotati<br />
on_1.vsd<br />
May 23, 2011<br />
a <br />
a x<br />
a y<br />
<br />
U V<br />
V U<br />
Finding linear acceleration of center of mass of a rigid body under pure rotation using fixed body coordinates.<br />
In the above U is the speed of the center of mass in the direction of the x axis, where this axis is fixed on<br />
the body itself. Similarly, V is the speed of the center of mass in the direction of the y axis, where the y axis is<br />
attached to the body itself.<br />
Just remember that all these speeds (i.e. U,V ) and accelerations (a x , a y ) are still being measured by an<br />
observer in the inertial frame. It is only that the directions of the velocity components of the center of mass<br />
is along an axis fixed on the body. Only the direction. But actual speed measurements are still done by a<br />
stationary observer. Since clearly if the observer was sitting on the body itself, then they will measure the speeds<br />
to be zero in that case.<br />
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