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Chapter 9: Q-15Q (page 230)

Which configuration of bricks, Fig. 9鈥�39a or Fig. 9鈥�39b, is the more likely to be stable? Why?

Short Answer

Expert verified

The configuration of bricks is more likely to be stable in figure (b).

Step by step solution

01

Understanding the center of gravity and torque

When the center of gravity of a specific system is not above the base of support, it will apply torque to rotate the system.

02

Explanation for the configurations of the bricks in figures (a) and (b)

In figure (a), the bottom brick's center of gravity is at the edge, whereas the top brick has the center of gravity to the right of the table's edge. Due to this, the force of gravity will exert torque on the bricks to roll clockwise off the table.

In figure (b), exactly three-fourth of the mass of the top brick is at the edge of the table, whereas one-fourth of the mass of the bottom brick is at the edge of the table. So, their center of gravity is at the edge of the table.

Therefore, figure (b) is more stable.

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Most popular questions from this chapter


Question:A 50-story building is being planned. It is to be 180.0 m high with a base 46.0 m by 76.0 m. Its total mass will be about\({\bf{1}}{\bf{.8 \times 1}}{{\bf{0}}^{\bf{7}}}\;{\bf{kg}}\)and its weight therefore about\({\bf{1}}{\bf{.8 \times 1}}{{\bf{0}}^{\bf{8}}}\;{\bf{N}}\). Suppose a 200-km/h wind exerts a force of\({\bf{950}}\;{\bf{N/}}{{\bf{m}}^{\bf{2}}}\)over the 76.0-m-wide face (Fig. 9鈥�80). Calculate the torque about the potential pivot point, the rear edge of the building (where acts in Fig. 9鈥�80), and determine whether the building will topple. Assume the total force of the wind acts at the midpoint of the building鈥檚 face, and that the building is not anchored in bedrock. [Hint:\({\vec F_{\rm{E}}}\)in Fig. 9鈥�80 represents the force that the Earth would exert on the building in the case where the building would just begin to tip.]

(III) A steel cable is to support an elevator whose total (loaded) mass is not to exceed 3100 kg. If the maximum acceleration of the elevator is \({\bf{1}}{\bf{.8}}\;{\bf{m/}}{{\bf{s}}^{\bf{2}}}\), calculate the diameter of the cable required. Assume a safety factor of 8.0.


(II) Two cords support a chandelier in the manner shown in Fig. 9鈥�4 except that the upper cord makes an angle of 45掳 with the ceiling. If the cords can sustain a force of 1660 N without breaking, what is the maximum chandelier weight that can be supported?

(II) The two trees in Fig. 9鈥�51 are 6.6 m apart. A backpacker is trying to lift his pack out of the reach of bears. Calculate the magnitude of the force\(\vec F\)that he must exert downward to hold a 19-kg backpack so that the rope sags at its midpoint by (a) 1.5 m, (b) 0.15 m.

(II) The Achilles tendon is attached to the rear of the foot as shown in Fig. 9鈥�73. When a person elevates himself just barely off the floor on the 鈥渂all of one foot,鈥� estimate the tension\({F_{\bf{T}}}\) in the Achilles tend on (pulling upward), and the (downward) force\({F_{\rm{B}}}\) exerted by the lower leg bone on the foot. Assume the person has a mass of 72 kg and Dis twice as long as d.
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