Chapter 12: Q. 32 (page 331)
A 5.0 kg cat and a 2.0 kg bowl of tuna fish are at opposite ends of the 4.0-m-long seesaw of FIGURE EX12.32. How far to the left of the pivot must a 4.0 kg cat stand to keep the seesaw balanced?
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Vector and vector . What is the cross product ?
The three 200g masses in FIGURE rigid rods.
a. What is the triangle's moment of inertia about the axis through the
b. What is the triangle's kinetic energy if it rotates about the axis
14. II The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods.
a. Find the coordinates of the center of mass.
b. Find the moment of inertia about a diagonal axis that passes through masses B and D.
A 75 g, 30-cm-long rod hangs vertically on a frictionless, horizontal axle passing through its center. A 10 g ball of clay traveling horizontally at 2.5 m/s hits and sticks to the very
bottom tip of the rod. To what maximum angle, measured from vertical, does the rod (with the attached ball of clay) rotate?
A piece of modern sculpture consists of an 8.0-m-long, 150 kg stainless steel bar passing diametrically through a 50 kg copper sphere. The center of the sphere is 2.0 m from one end of the bar. To be mounted for display, the bar is oriented vertically, with the copper sphere at the lower end, then tilted 35ยฐ from vertical and held in place by one horizontal steel cable attached to the bar 2.0 m from the top end. What is the tension in the cable?
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