Chapter 9: Bodies In Equilibrium: Elasticity and Fracture
Warm-Ups




1.  

A post is driven into the ground and a heavy ball is hung from it in three different ways shown as A, B, and C in the picture below. The ball plumb line is 3 meters from the foot of the post in all three cases. Compare the torques exerted by the weight of the ball on the post (calculated with respect to the base of the post).



2.  

A food server is holding a 2 kg food tray as shown. Estimate the torque with respect to an axis through his shoulder exerted by the weight of the tray.



3.  

When an elastic rope, obeying Hooke's Law, is subjected to stress F/A its length changes by LoEF/A where Lo is the length before the stress was applied and E is the elastic modulus. Under these circumstances, how much stress would it take to double the length of a rope?



4.  

A cylindrical water glass has a diameter of 10 cm. Fill it with water and seal it with a watertight lid. Estimate how much weight would have to be placed on the lid to reduce the volume of the water in the glass by one percent.


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