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Problem 5 A man is swinging an object, attached to a string, in a circle over his head (see the sketches). Side view Top view (a) Draw a free-body diagram for the object. Notice the string is not drawn horizontal in the side view diagram above. Why is that? (b) If the mass of the object is 1 kg, what is the vertical component of the tension? (c) If the object makes 3 turns per second, and the radius of the circle (as seen in the top view) is 0.8 m, what is the centripetal acceleration of the object? 174 CHAPTER 8. MOTION IN TWO DIMENSIONS (d) Which force component in your diagram provides this centripetal acceleration? (e) Based on your results above, what is the angle the string must make with the horizontal?
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