A 400 mm rod AB is guided by wheels at A and B which roll in

A 400 mm rod AB is guided by wheels at A and B which roll in the track. Knowing that theta = 90 degree and that B moves at a constant speed of 1.2 m/s, determine (a) the angular velocity of the rod and (b) the velocity of A.

Solution

The relation at theta = 90 degrees is as follows:

(v_A/sin45) = (V_rod/sin90) = v_B/sin45

(v_A/sin45) = (V_rod/sin90) = 1.2/sin45

(a)

Therefore the velocity of the rod is as follows:

(V_rod/sin90) = 1.2/sin45

V_rod= (1.2/sin45)*sin90

V_rod= 1.697 m/s

(b)

Therefore, the velocity of end A is as follows:

v_A= (1.2/sin45)*sin45 = 1.2 m/s