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Chapter 6: Q6-14Q (page 138)
Experienced hikers prefer to step over a fallen log in their path rather than stepping on top and stepping down on the other side. Explain.
Hikers do this to conserve energy.
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Express the following angles in radians: (a) 45.0掳, (b) 60.0掳, (c) 90.0掳, (d) 360.0掳, and (e) 445掳. Give as numerical values and as fractions of \(\pi \).
(III) A uniform rod AB of length 5.0 m and mass \({\bf{M = 3}}{\bf{.8}}\;{\bf{kg}}\) is hinged at A and held in equilibrium by a light cord, as shown in Fig. 9鈥�67. A load \({\bf{W = 22}}\;{\bf{N}}\) hangs from the rod at a distance d so that the tension in the cord is 85 N. (a) Draw a free-body diagram for the rod. (b) Determine the vertical and horizontal forces on the rod exerted by the hinge. (c) Determine d from the appropriate torque equation.
A block with mass \(M = 6.0\;{\rm{kg}}\) rests on a frictionless table and is attached by a horizontal spring \(\left( {k = 130\;{\rm{N/m}}} \right)\) to a wall. A second block, of mass \(m = 1.25\;{\rm{kg}}\),rests on top of \(M\). The coefficient of static friction between the two blocks is \(0.30\). What is the maximum possible amplitude of oscillation such that \(m\) will not slip off \(M\)?
A 66-kg skier starts from rest at the top of a 1200-mlong trail which drops a total of 230 m from top to bottom. At the bottom, the skier is moving. How much energy was dissipated by friction?
(a) \(\sqrt 2 \). (b) 2. (c) 4. (d) 8.
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