1397 The 075 lb smooth can is guided along the circular path

.13-97. The 0.75 lb smooth can is guided along the circular path using the arm guide. If the arm has an angular velocity 2 rad/s and an angular acceleration 0.4 rad/s at the instant e- 30 determine the force of the guide on the can. Motion occurs in the horizontal plane. 13-98. Solve Prob, 13-97 if motion occurs in the vertical plane. Probs. I -97198

Solution

The figure is a little confusing. You need to translate from one set of coordinates to the other.

Using the centre with radius r coming out ( it is not labelled unfortunately, but this is the centre of the semicircle) you get (.5 cos (theta)) *2= r

So r =1.cos( theta)

See the diagram of Hibbeler 13-112