A wheel is rotating about a pivot at point O with angular rate omega = 9 rad/s a

Question

A wheel is rotating about a pivot at point O with angular rate omega = 9 rad/s and with an angular acceleration of a = 15 rad/s^2, both clockwise. A rod of length e = 510 mm connects point B, at radius r = 160 mm on the wheel, to point A on a collar constrained to slide on a fixed horizontal bar. At the instant point, B is 30 degree above the horizontal and rod AH makes an angle of 60 degree with the horizontal bar: What is the velocity of point B? What is the tangential acceleration of point B? What is the normal acceleration of point B? What is the angular velocity of the rod AB? What is the angular acceleration of the rod A? What is the linear velocity of point AB? What is the linear acceleration of point A?

Explanation / Answer

a) velocity of B = wr = 9*160 = 1440 mm/s = 1.44m/s

b) acceleration of B = alpha*r = 15*160 = 2400 mm/s^2 = 2.4 m/s^2

c) normal acceleration = w^2 r = 9^2*0.160 = 12.96 m/s^2

d) angular velocity of AB = 0 as B is moving in the axial direction of rod

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