Question 1

The region from the origin to the elastic limit on an applied force versus elongation graph for a typical metal under tension is referred to as the

Accepted Answer

A) elastic region. 
B) proportional region. 
C) plastic region. 
D) ultimate strength region. 
E) breaking region. 
A) elastic region. 
B) proportional region. 
C) plastic region. 
D) ultimate strength region. 
E) breaking region.

Question 2

Stress is

Accepted Answer

A) the strain per unit length. 
B) the same as force. 
C) the ratio of the change in length to the original length. 
D) applied force per cross-sectional area. 
E) the ratio of elastic modulus to strain. 
A) the strain per unit length. 
B) the same as force. 
C) the ratio of the change in length to the original length. 
D) applied force per cross-sectional area. 
E) the ratio of elastic modulus to strain.

Question 3

The horizontal component of the buttressing force at the base of a pointed arch is

Accepted Answer

A) less than that of a rounded arch. 
B) equal to that of a rounded arch. 
C) greater than that of a rounded arch. 
D) zero in magnitude. 
A) less than that of a rounded arch. 
B) equal to that of a rounded arch. 
C) greater than that of a rounded arch. 
D) zero in magnitude.

Question 4

State the conditions for static equilibrium.

Accepted Answer

(1) The net force acting on th

Question 5

If an object is stretched beyond the elastic limit, it enters the _______ on an applied force versus elongation graph for a typical metal.

Accepted Answer

A) elastic region 
B) proportional region 
C) plastic region 
D) ultimate strength region 
E) breaking region 
A) elastic region 
B) proportional region 
C) plastic region 
D) ultimate strength region 
E) breaking region

Question 6

A heavy boy and a lightweight girl are balanced on a massless seesaw. If they both move forward so that they are one-half their original distance from the pivot point, what will happen to the seesaw?

Accepted Answer

A) It is impossible to say without knowing the masses. 
B) It is impossible to say without knowing the distances. 
C) The side the boy is sitting on will tilt downward. 
D) Nothing, the seesaw will still be balanced. 
E) The side the girl is sitting on will tilt downward. 
A) It is impossible to say without knowing the masses. 
B) It is impossible to say without knowing the distances. 
C) The side the boy is sitting on will tilt downward. 
D) Nothing, the seesaw will still be balanced. 
E) The side the girl is sitting on will tilt downward.

Question 7

The maximum elongation of a typical metal is reached at the

Accepted Answer

A) proportional limit. 
B) elastic limit. 
C) inelastic limit. 
D) breaking point. 
E) ultimate strength. 
A) proportional limit. 
B) elastic limit. 
C) inelastic limit. 
D) breaking point. 
E) ultimate strength.

Question 8

The wheelbase on a truck is 2.4 m wide and the truck's center of mass is located along the vertical centerline of the truck and 2.0 m above the bottom of the tires. The truck is going around a banked turn, when it is forced to stop. What is the maximum slope that the bank can have such that the truck will not tip over?

Accepted Answer

A) 26° 
B) 31° 
C) 34° 
D) 39° 
E) 21° 
A) 26° 
B) 31° 
C) 34° 
D) 39° 
E) 21°

Question 9

A steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure is 15 MN/m2. The bulk modulus for steel is 1.6×1011 N/m2. What is the change in the radius of the sphere?

Accepted Answer

A) 0.021 mm 
B) 4.2 mm 
C) 0.42 mm 
D) 0.19 mm 
E) 0.063 mm 
A) 0.021 mm 
B) 4.2 mm 
C) 0.42 mm 
D) 0.19 mm 
E) 0.063 mm

Question 10

Two identical ladders are 3.0 m long and weigh 600 N each. They are connected by a hinge at the top and are held together by a horizontal rope, 1.0 m above the smooth floor forming a symmetric "A" arrangement. The angle between the ladders is 60° and both ladders have their center of gravity at their midpoint. What is the tension in the rope?

Accepted Answer

A) 240 N 
B) 300 N 
C) 220 N 
D) 260 N 
E) 280 N 
A) 240 N 
B) 300 N 
C) 220 N 
D) 260 N 
E) 280 N

Question 11

FIGURE 12-4  
-A 20.0-kg mass is supported by two strings as shown in Fig. 12-4. The left string is 2.00 m long and the right string is 5.00 m long. The attachment points for the two strings are 6.00 m apart on the ceiling.
(a) What is the tension in the left side string?
(b) What is the tension in the right side string?

Accepted Answer

The answer of FIGURE 12-4  
-A 20.0-kg mass is...

Question 12

A 2.00-m long uniform beam of mass 4.00 kg rests on a fulcrum that is 1.20 m from one end when a 3.00-kg mass rests on that end and a 8.00-kg mass is placed at another location on the beam. How far from the end at which the 3.00-kg mass is placed is the location of the 8.00-kg mass?

Accepted Answer

A) 1.45 m 
B) 1.75 m 
C) 1.35 m 
D) 1.55 m 
E) 1.65 m 
A) 1.45 m 
B) 1.75 m 
C) 1.35 m 
D) 1.55 m 
E) 1.65 m

Question 13

A brass rod, 4.0 m long and with a cross sectional area of 9.2 × 10-6 m2 is subjected to a tension of 6.0 × 103 N/m2. The Young's modulus for brass is 9.0 × 1010 N/m2, and the Poisson ratio is 0.48. By how much does the volume of the rod change?

Accepted Answer

A) 6.3 × 10-7 m3  
B) 0.029 m3  
C) 2.7 × 10-7 m3  
D) 4.0 × 10-7 m3  
E) 5.2 × 10-7 m3  
A) 6.3 × 10-7 m3  
B) 0.029 m3  
C) 2.7 × 10-7 m3  
D) 4.0 × 10-7 m3  
E) 5.2 × 10-7 m3

Question 14

A 30.0-kg child sits on one end of a long uniform beam with a mass 20.0 kg and a 40.0-kg child sits on the other end. The beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. How long is the beam?

Accepted Answer

A) 2.12 m 
B) 1.98 m 
C) 1.93 m 
D) 2.07 m 
E) 2.20 m 
A) 2.12 m 
B) 1.98 m 
C) 1.93 m 
D) 2.07 m 
E) 2.20 m

Question 15

At a depth of about 1030 m in the sea the pressure has increased by 100 atmospheres (to about 107 N/m2). By how much has 1.0 m3 of water been compressed by this pressure? The bulk modulus of water is 2.3 × 109 N/m2.

Accepted Answer

A) 2.3 × 10-3 m3  
B) 3.3 × 10-3 m3  
C) 4.3 × 10-3 m3  
D) 5.3 × 10-3 m3  
E) 6.3 × 10-3 m3  
A) 2.3 × 10-3 m3  
B) 3.3 × 10-3 m3  
C) 4.3 × 10-3 m3  
D) 5.3 × 10-3 m3  
E) 6.3 × 10-3 m3

Question 16

If you stand with your back towards a wall and your heels touching the wall, you cannot lean over to touch your toes. Why?

Accepted Answer

As you bend over your center of gravity

Question 17

Strain is

Accepted Answer

A) the ratio of the change in length to the original length. 
B) the stress per unit area. 
C) the same as force. 
D) the applied force per cross-sectional area. 
E) the ratio of stress to elastic modulus. 
A) the ratio of the change in length to the original length. 
B) the stress per unit area. 
C) the same as force. 
D) the applied force per cross-sectional area. 
E) the ratio of stress to elastic modulus.

Question 18

FIGURE 12-9  
-A child is trying to stack two uniform wooden blocks, 12 cm in length, so they will protrude as much as possible over the edge of a table, without tipping over, as shown in Fig. 12-9. What is the maximum possible overhang distance?

Accepted Answer

A) 5 cm 
B) 6 cm 
C) 7 cm 
D) 8 cm 
E) 9 cm 
A) 5 cm 
B) 6 cm 
C) 7 cm 
D) 8 cm 
E) 9 cm

Question 19

If an object is stretched beyond its elastic limit, it does not return to its original length upon removal of the external force.

Accepted Answer

A) True 
 B)False

Question 20

A seesaw made of a plank of mass 10.0 kg and length 3.00 m is balanced on a fulcrum 1.00 m from one end of the plank. A 20.0-kg mass rests on the end of the plank nearest the fulcrum. What mass must be on the other end if the plank remains balanced?

Accepted Answer

A) 6.67 kg 
B) 7.50 kg 
C) 10.0 kg 
D) -10.0 kg 
E) 5.00 kg 
A) 6.67 kg 
B) 7.50 kg 
C) 10.0 kg 
D) -10.0 kg 
E) 5.00 kg

Exam 12: Static Equilibrium; Elasticity and Fracture

The region from the origin to the elastic limit on an applied force versus elongation graph for a typical metal under tension is referred to as the

Stress is

The horizontal component of the buttressing force at the base of a pointed arch is

State the conditions for static equilibrium.

If an object is stretched beyond the elastic limit, it enters the _______ on an applied force versus elongation graph for a typical metal.

A heavy boy and a lightweight girl are balanced on a massless seesaw. If they both move forward so that they are one-half their original distance from the pivot point, what will happen to the seesaw?

The maximum elongation of a typical metal is reached at the

A steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure is 15 MN/m2. The bulk modulus for steel is 1.6×1011 N/m2. What is the change in the radius of the sphere?

A 2.00-m long uniform beam of mass 4.00 kg rests on a fulcrum that is 1.20 m from one end when a 3.00-kg mass rests on that end and a 8.00-kg mass is placed at another location on the beam. How far from the end at which the 3.00-kg mass is placed is the location of the 8.00-kg mass?

A brass rod, 4.0 m long and with a cross sectional area of 9.2 × 10-6 m2 is subjected to a tension of 6.0 × 103 N/m2. The Young's modulus for brass is 9.0 × 1010 N/m2, and the Poisson ratio is 0.48. By how much does the volume of the rod change?

A 30.0-kg child sits on one end of a long uniform beam with a mass 20.0 kg and a 40.0-kg child sits on the other end. The beam balances when a fulcrum is placed below the beam a distance 1.10 m from the 30.0-kg child. How long is the beam?

At a depth of about 1030 m in the sea the pressure has increased by 100 atmospheres (to about 107 N/m2). By how much has 1.0 m3 of water been compressed by this pressure? The bulk modulus of water is 2.3 × 109 N/m2.

If you stand with your back towards a wall and your heels touching the wall, you cannot lean over to touch your toes. Why?

Strain is

FIGURE 12-9 -A child is trying to stack two uniform wooden blocks, 12 cm in length, so they will protrude as much as possible over the edge of a table, without tipping over, as shown in Fig. 12-9. What is the maximum possible overhang distance?

If an object is stretched beyond its elastic limit, it does not return to its original length upon removal of the external force.

A seesaw made of a plank of mass 10.0 kg and length 3.00 m is balanced on a fulcrum 1.00 m from one end of the plank. A 20.0-kg mass rests on the end of the plank nearest the fulcrum. What mass must be on the other end if the plank remains balanced?

Introduction, Measurement, Estimating

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A steel sphere with a radius of 2.0 m falls off a ship and sinks to a depth where the pressure is 15 MN/m². The bulk modulus for steel is 1.6×10¹¹N/m². What is the change in the radius of the sphere?

A brass rod, 4.0 m long and with a cross sectional area of 9.2 × 10^-⁶ m² is subjected to a tension of 6.0 × 10³ N/m². The Young's modulus for brass is 9.0 × 10¹⁰ N/m², and the Poisson ratio is 0.48. By how much does the volume of the rod change?

At a depth of about 1030 m in the sea the pressure has increased by 100 atmospheres (to about 10⁷ N/m²). By how much has 1.0 m³ of water been compressed by this pressure? The bulk modulus of water is 2.3 × 10⁹ N/m².