Determine the angular acceleration AB positive if counterclo

Determine the angular acceleration ?_AB (positive if counterclockwise, negative if clockwise) of link AB and the acceleration a_B (positive if up, negative if down) of collar B for the instant represented. The angular velocity ?₀ = 1.99 rad/s is constant and the distance r = 265 mm.

Solution

linear velocity can be calculated by multiplying the radius with angular velocity

v=rw

v=1.99*265*10^-3

angular acceleration can be calculated by the formula

=r²w

normal acceleration can be calculated by

a=v²/2r

by substituting the given values we will get the required values