Exam 11: Equilibrium and Elasticity

A very light 1.00-m wire consists of two segments of equal length,one of steel (Young's modulus is 2.00 × 10¹¹ N/m²)and one of brass (Young's modulus is .The steel segment is 1.50 mm in diameter,and the brass segment has twice this diameter.When a weight w is hung from the ceiling by this wire,the steel segment stretches by 1.10 mm.By what distance does the brass segment stretch?

A steel rod 55 cm long has a diameter of 30 cm.The compressive strength (the maximum stress it can support without breaking)of this steel is 500 × 10⁶ N/m².What is the compression force that would break the rod?

A solid uniform brick is placed on a sheet of wood.When one end of the sheet is raised (see figure),you observe that the maximum that the angle θ can be without tipping over the brick is 49.6°.There is enough friction to prevent the brick from sliding.What is the width w of the brick?

The graph in the figure shows the force on an object as a function of the elongation caused by that force.Which statement about this object is true?

A child is trying to stack two uniform wooden blocks,12 cm in length,so they will protrude as much as possible over the edge of a table,without tipping over,as shown in the figure.What is the maximum possible overhang distance d?

Which one of the following stresses would be most likely to cause a bone to fracture?

In the figure,a uniform ladder 12 meters long rests against a vertical frictionless wall.The ladder weighs 400 N and makes an angle θ of 79° with the floor.A man weighing climbs slowly up the ladder.When he has climbed to a point that is 7.8 m from the base of the ladder,the ladder starts to slip.What is the coefficient of static friction between the floor and the ladder?

A steel guitar string with a diameter of 0.300 mm and a length of 70.0 cm is stretched by 0.500 mm while being tuned.How much force is needed to stretch the string by this amount? Young's modulus for steel is 2.0 × 10¹¹ N/m².

A very light 1.00-m wire consists of two segments of equal length,one of steel (Young's modulus is 2.00 × 10¹¹ N/m²)and one of brass (Young's modulus is .The steel segment is 1.50 mm in diameter,and the brass segment has twice this diameter.When a weight w is hung from the ceiling by this wire,the steel segment stretches by 1.10 mm.Find the weight w.

A cable is 100 m long,has a cross-sectional area of 1.0 mm²,and is made of a material having a Young's modulus of 1.0 × 10¹¹ N/m².If a 1000-N force is applied to stretch the cable,how far does it stretch?