EXAMPLE 2: KINEMATICS OF RIGID BODIES

Calculate
the velocity of point A given that
the cart is moving with a constant speed _{}as shown and the disc is rotating such that _{}, where _{}is a constant.

SOLUTION:
Position
of A relative to fixed point B is
_{}
Point
O moves with the cart, therefore
_{}
The
length of _{} is constant,
therefore
_{}
Since
point B is stationary, _{} is the velocity of B. Substitution into (1) gives
_{}