Question 1

When hysteresis is manifest in a system, at some previous time

Accepted Answer

A)  the elastic limit for the system was exceeded. 
B)  the ultimate strength of the system was reached. 
C)  catastrophic breakage of the system occurred. 
D)  none of the above. 
A)  the elastic limit for the system was exceeded. 
B)  the ultimate strength of the system was reached. 
C)  catastrophic breakage of the system occurred. 
D)  none of the above.

Question 2

A general mathematical similarity between equations involving elongation, shear, and compression occurs when the deformation is related to the appropriate dimension as a

Accepted Answer

A)  sum. 
B)  difference. 
C)  product. 
D)  quotient. 
A)  sum. 
B)  difference. 
C)  product. 
D)  quotient.

Question 3

A 530-kg I-beam that is 4.6 m long has one end attached to a vertical wall. The I-beam is allowed to pivot up and down about the attachment location. A long cable is then attached to the other end of the I-beam and hoisted vertically so the I-beam is exactly parallel with the ground. The horizontal pin force at the pivot is

Accepted Answer

A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N. 
A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N.

Question 4

A material with a relatively large bulk modulus

Accepted Answer

A)  requires relatively large forces to produce a specified density change. 
B)  requires relatively small forces to produce a specified density change. 
C)  is a material that has a relatively small value of density. 
D)  is a material that has a relatively large value of density. 
A)  requires relatively large forces to produce a specified density change. 
B)  requires relatively small forces to produce a specified density change. 
C)  is a material that has a relatively small value of density. 
D)  is a material that has a relatively large value of density.

Question 5

For a suspension bridge, where the total weight is distributed uniformly over the length of the bridge, the cables hang in the approximate shape of a

Accepted Answer

A)  circle. 
B)  ellipse. 
C)  hyperbola. 
D)  parabola. 
A)  circle. 
B)  ellipse. 
C)  hyperbola. 
D)  parabola.

Question 6

A pressure of 1,100 Pa is applied to the ends of a long cylindrical mass (mass = 512 kg). The change in the length of the cylinder is $- 1 / 100$ the original length. The Young's modulus of the cylinder is

Accepted Answer

A)  $2.2 \times 10 ^ { 5 }$ N/m $2$ 
B)  $0.5 \times 10 ^ { 5 }$ N/m $2$ 
C)  $4.4 \times 10 ^ { 5 }$ N/m $2$ 
D)  $1.1 \times 10 ^ { 5 }$ N/m $2$ 
A)  $2.2 \times 10 ^ { 5 }$ N/m $2$ 
B)  $0.5 \times 10 ^ { 5 }$ N/m $2$ 
C)  $4.4 \times 10 ^ { 5 }$ N/m $2$ 
D)  $1.1 \times 10 ^ { 5 }$ N/m $2$

Question 7

The sign of the change in the relevant strain parameter is positive for an increased applied force except when the force is

Accepted Answer

A)  shear. 
B)  elongation. 
C)  compression. 
D)  none of the above. 
A)  shear. 
B)  elongation. 
C)  compression. 
D)  none of the above.

Question 8

Consider a truss designed to support some maximum weight W on a frictionless, horizontal surface. The truss has three straight members joined as in the letter "A," and all members of the truss are weightless. W is placed at the apex of the truss. The force(s) at the center of the horizontal cross member is (are)

Accepted Answer

A)  compressional. 
B)  tensional. 
C)  either of the above, depending on the vertical location of the horizontal cross member. 
D)  none of the above. 
A)  compressional. 
B)  tensional. 
C)  either of the above, depending on the vertical location of the horizontal cross member. 
D)  none of the above.

Question 9

A 530-kg I-beam that is 4.6 m long has one end attached to a vertical wall. The I-beam is allowed to pivot up and down about the attachment location. A long cable is then attached to the other end of the I-beam and hoisted vertically so the I-beam is exactly parallel with the ground. The vertical pin force at the pivot is

Accepted Answer

A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N. 
A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N.

Question 10

A 4-m-long I-beam (of uniform shape) having a mass of 48 kg is held at a 35º angle above the floor by a bracket attached to its end. The bracket is securely bolted to the floor. The upward force that the floor must supply to support the bracket is

Accepted Answer

A)  240 N. 
B)  0 N. 
C)  390 N. 
D)  470 N. 
A)  240 N. 
B)  0 N. 
C)  390 N. 
D)  470 N.

Question 11

A 530-kg I-beam that is 4.6 m long has one end attached to a vertical wall. The I-beam is allowed to pivot up and down about the attachment location. A long cable is then attached to the other end of the I-beam and hoisted vertically so the I-beam is exactly parallel with the ground. The tension in the cable is

Accepted Answer

A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N. 
A)  5300 N. 
B)  0 N. 
C)  2600 N. 
D)  4500 N.

Question 12

A nonlinear spring generates a force $f = \beta x ^ { 2 }$, where $\beta$ is a constant and $x$ is the distance that the spring is compressed or stretched. The spring hangs from the ceiling, and a mass $m$ is attached to the other end of the spring. The distance that the spring is stretched is

Accepted Answer

A)  $\beta / ( m g )$ 
B)  $\sqrt { m g / \beta }$ 
C)  $\beta \sqrt { m g }$ 
D)  $\sqrt { \beta / m / g }$ 
A)  $\beta / ( m g )$ 
B)  $\sqrt { m g / \beta }$ 
C)  $\beta \sqrt { m g }$ 
D)  $\sqrt { \beta / m / g }$

Question 13

Neglecting dissipative forces, levers and pulleys are devices for which

Accepted Answer

A)  applied distance = delivered distance. 
B)  applied force = delivered force. 
C)  applied work = delivered work. 
D)  none of the above. 
A)  applied distance = delivered distance. 
B)  applied force = delivered force. 
C)  applied work = delivered work. 
D)  none of the above.

Question 14

If only two forces act on a body, all of the following are possible except

Accepted Answer

A)  translational and rotational equilibrium of the body. 
B)  translational but no rotational equilibrium of the body. 
C)  rotational but no translational equilibrium of the body. 
D)  none of the above. 
A)  translational and rotational equilibrium of the body. 
B)  translational but no rotational equilibrium of the body. 
C)  rotational but no translational equilibrium of the body. 
D)  none of the above.

Question 15

The relevant area associated with shear is oriented with the plane of its surface

Accepted Answer

A)  parallel to the applied force. 
B)  perpendicular to the applied force. 
C)  making an angle with respect to the applied force that depends on specific conditions. 
D)  none of the above. 
A)  parallel to the applied force. 
B)  perpendicular to the applied force. 
C)  making an angle with respect to the applied force that depends on specific conditions. 
D)  none of the above.

Question 16

A 5-m-long steel cable is horizontally attached (just tautly) between two large trees. A 40-kg child hangs from the middle, and in doing so lowers the cable 6 cm from its original position. The tension in the cable is

Accepted Answer

A)  400 N. 
B)  4400 N. 
C)  8200 N. 
D)  800 N. 
A)  400 N. 
B)  4400 N. 
C)  8200 N. 
D)  800 N.

Question 17

In general, liquids are characterized by a nonzero

Accepted Answer

A)  shear modulus. 
B)  bulk modulus. 
C)  Young's modulus. 
D)  none of the above. 
A)  shear modulus. 
B)  bulk modulus. 
C)  Young's modulus. 
D)  none of the above.

Question 18

A 4-m-long ladder (mass = 56 kg) leans against a frictionless wall. The base of the ladder makes an angle of 55º with the rough floor, having $\mu _ { s } = 0.5$ . The frictional force (which is not the maximum frictional force) exerted by the floor that acts on the ladder is

Accepted Answer

A)  270 N. 
B)  240 N. 
C)  210 N. 
D)  190 N. 
A)  270 N. 
B)  240 N. 
C)  210 N. 
D)  190 N.

Question 19

The bottom end of a ladder rests on a floor with friction. The ladder leans against a frictionless vertical wall, the length of the ladder making an angle $\theta$ with the wall. A boy is perched on the ladder at such a point that equilibrium of the system is barely maintained. The ladder will slip under any of the following independent changes except

Accepted Answer

A)  if the boy's distance from the top is decreased. 
B)  if the boy's mass is decreased. 
C)  if µ is decreased. 
D)  If $\theta$ is increased. 
A)  if the boy's distance from the top is decreased. 
B)  if the boy's mass is decreased. 
C)  if µ is decreased. 
D)  If $\theta$ is increased.

Question 20

Five cubes (each edge of a cube is 5 cm) are stacked vertically on a table. If each cube weighs 5 N, the net force exerted on the table is

Accepted Answer

A)  5 N. 
B)  25 N. 
C)  10 N. 
D)  50 N. 
A)  5 N. 
B)  25 N. 
C)  10 N. 
D)  50 N.

Exam 14: Statics and Elasticity

When hysteresis is manifest in a system, at some previous time

A general mathematical similarity between equations involving elongation, shear, and compression occurs when the deformation is related to the appropriate dimension as a

A material with a relatively large bulk modulus

For a suspension bridge, where the total weight is distributed uniformly over the length of the bridge, the cables hang in the approximate shape of a

A pressure of 1,100 Pa is applied to the ends of a long cylindrical mass (mass = 512 kg). The change in the length of the cylinder is −1/100- 1 / 100−1/100 the original length. The Young's modulus of the cylinder is

The sign of the change in the relevant strain parameter is positive for an increased applied force except when the force is

A 4-m-long I-beam (of uniform shape) having a mass of 48 kg is held at a 35º angle above the floor by a bracket attached to its end. The bracket is securely bolted to the floor. The upward force that the floor must supply to support the bracket is

Neglecting dissipative forces, levers and pulleys are devices for which

If only two forces act on a body, all of the following are possible except

The relevant area associated with shear is oriented with the plane of its surface

A 5-m-long steel cable is horizontally attached (just tautly) between two large trees. A 40-kg child hangs from the middle, and in doing so lowers the cable 6 cm from its original position. The tension in the cable is

In general, liquids are characterized by a nonzero

A 4-m-long ladder (mass = 56 kg) leans against a frictionless wall. The base of the ladder makes an angle of 55º with the rough floor, having μs=0.5\mu _ { s } = 0.5μs​=0.5 . The frictional force (which is not the maximum frictional force) exerted by the floor that acts on the ladder is

Five cubes (each edge of a cube is 5 cm) are stacked vertically on a table. If each cube weighs 5 N, the net force exerted on the table is

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A pressure of 1,100 Pa is applied to the ends of a long cylindrical mass (mass = 512 kg). The change in the length of the cylinder is $- 1 / 100$ the original length. The Young's modulus of the cylinder is

A 4-m-long ladder (mass = 56 kg) leans against a frictionless wall. The base of the ladder makes an angle of 55º with the rough floor, having $\mu _ { s } = 0.5$ . The frictional force (which is not the maximum frictional force) exerted by the floor that acts on the ladder is