Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Determine the following:

1		Stress on the bottom block Need a Hint?
2		Strain on the bottom block Need a Hint?
3		Compression of the bottom block Need a Hint?

Two metal bars 0.500 cm thick are held together by three rivets as shown in the figure to the right. The rivets have a radius of 2.00 × 10-3 m, and the maximum shear stress a rivet can withstand is 5.00 × 108 N/m2.

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4		The area that must be sheared in order to separate the bars by applying a force parallel to them Need a Hint?
5		The force applied parallel to the bars that will shear the three rivets Need a Hint?

A 2.00-kg mass is attached to the end of a spring. The mass-spring system is placed on a horizontal frictionless surface, as shown below. A force of 20.0 N is required to stretch the spring 0.100 m. You start the system oscillating by compressing the spring 0.200 m and then releasing it. You start your record of time (t = 0) the first time the oscillating mass goes through equilibrium.

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6		Spring constant Need a Hint?
7		Amplitude of oscillation Need a Hint?
8		Angular frequency of a particle on the reference circle Need a Hint?
9		Linear frequency of the oscillating mass Need a Hint?
10		Period of oscillation Need a Hint?
11		Maximum speed of the oscillating mass Need a Hint?
12		Maximum acceleration of the oscillating mass Need a Hint?
13		Displacement of the mass after one-half period Need a Hint?
14		Velocity of the oscillating mass after one-half period Need a Hint?
15		Acceleration of the oscillating mass after one-half period Need a Hint?
16		Force exerted by the spring on the mass after one-half period Need a Hint?
17		Kinetic energy of the oscillating mass after one-half period Need a Hint?
18		Potential energy of the spring after one-half period Need a Hint?
19		Total mechanical energy of the mass-spring system Need a Hint?
20		Displacement of the mass at t = 0.300 s Need a Hint?
21		Velocity of the mass at t = 0.300 s Need a Hint?
22		Acceleration of the mass at t = 0.300 s Need a Hint?
23		Potential energy of the system at t = 0.300 s Need a Hint?
24		Kinetic energy of the system at t = 0.300 s Need a Hint?
25		Total mechanical energy of the mass-spring system at t = 0.300 s Need a Hint?