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ws13 - Worksheet 13 Statics Questions 1 No the ladder will...

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Worksheet 13: Statics Questions 1. No, the ladder will not remain in place; to see this, first draw the free body diagram for the ladder, and then write down the corresponding torques taking any point you wish for the axis of rotation. If you try to solve for normal forces so that vector F net = 0, then the ladder is not in rotational equilibrium ( τ net negationslash = 0), but if you solve for τ net = 0, then it’s impossible for vector F net = 0. This shows it is impossible for the ladder to not move. 2. For the hammock, first realize that the vertical component of the tension is always: T y = 1 2 mg . This means that the total tension in the hammock is: | vector T | = mg 2sin θ (where θ is the angle the hammock makes with horizontal). If the hammock doesn’t sag much, θ 0 and the tension is very big, if the hammock sags alot, θ π 2 , then T 1 2 mg , which is much smaller. Hence a taut hammock is more likely to break.
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