A child rests two branches against each other, as shown in the figure. There is enough friction between the branches and the ground to prevent them from slipping. The longer of the two branches is 1.6 m in length and has a mass of 4.0 kg; the shorter branch has a mass of 2.7 kg. The shorter branch makes an angle of 67° with the horizontal ground and an angle of 105° with the longer branch. Assume that the two branches are uniform and have circular ends. What must the coefficient of static friction between the two branches be so that the structure does not collapse?

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A child rests two branches against each other, as shown in the figure. There is enough friction between the branches and the ground to prevent them from slipping. The longer of the two branches is 1.6 m in length and has a mass of 4.0 kg; the shorter branch has a mass of 2.7 kg. The shorter branch makes an angle of 67° with the horizontal ground and an angle of 105° with the longer branch. Assume that the two branches are uniform and have circular ends. What must the coefficient of static friction between the two branches be so that the structure does not collapse?

1.6 m
105°
67°
Transcribed Image Text:1.6 m 105° 67°
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