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Chapter 9: Q9-16Q (page 230)

Name the type of equilibrium for each position of the ball in Fig. 9鈥�40.

Short Answer

Expert verified

The ball at points A, B, and C is in unstable equilibrium, stable equilibrium, and neutral equilibrium, respectively.

Step by step solution

01

Understanding stable and unstable equilibrium

In stable equilibrium, any particular object displaced from its original position will return to it, whereas in unstable equilibrium, the object does not return to its initial position.

02

Evaluating the type of equilibrium for each position of the ball

When the ball is at point A, it will be in unstable equilibrium because once it is displaced from this position, it will never return to its original position.

When the ball is at point B, it will be in stable equilibrium because it can return to its original position after being displaced.

When the ball is at point C, it will be in neutral equilibrium because it does not tend to return or move further away after being displaced.

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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.]

If the left vertical support column in Example 9鈥�5 is made of steel, what is its cross-sectional area? Assume that a safety factor of 3 was used in its design to avoid fracture.

A home mechanic wants to raise the 280-kg engine out of a car. The plan is to stretch a rope vertically from the engine to a branch of a tree 6.0 m above, and back to the bumper (Fig. 9鈥�88). When the mechanic climbs up a stepladder and pulls horizontally on the rope at its midpoint, the engine rises out of the car. (a) How much force must the mechanic exert to hold the engine 0.50 m above its normal position? (b) What is the system鈥檚 mechanical advantage?

A traffic light hangs from a pole, as shown in Fig. 9鈥�59. The uniform aluminum pole AB is 7.20 m long and has a mass of 12.0 kg. The mass of the traffic light is 21.5 kg. Determine (a) the tension in the horizontal massless cable CD and (b) the vertical and horizontal components of the force exerted by pivot A on the aluminum pole.

(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.
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