At the instant when ? = 28 At the instant when ? = 28degree, the horizontal guid

Question

At the instant when ? = 28

At the instant when ? = 28degree, the horizontal guide is given a constant upward velocity v0 = 1.4 m/s. For this instant calculate the force N exerted by the fixed circular slot and the force P exerted by the horizontal slot on the 0.57-kg pin A. The force N is positive if the pin contacts the inside of the circular track and the force P is positive if it contacts the bottom of the horizontal guide. The width of the slots is slightly greater than the diameter of the pin, and friction is negligible.

Explanation / Answer

we know VA=VB + VA/B

VB=1.4j m/s, VA/B= ki m/s

VA=w*0.3cos28i + w*0.3sin28j m/s

subtututing & equating i & j components

w=9.94 rad/s

VA/B=2.63 m/s

P=mg=0.57*9.8=5.586 N

N=mw^2 *r=0.57*9.94^2 *0.3=16.89 N

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