Question 1

To shear a cube-shaped object, forces of equal magnitude and opposite directions might be applied:

Accepted Answer

A)  to opposite faces, perpendicular to the faces 
B)  to opposite faces, parallel to the faces 
C)  to adjacent faces, perpendicular to the faces 
D)  to adjacent faces, neither parallel or perpendicular to the faces 
E)  to a single face, in any direction 
A)  to opposite faces, perpendicular to the faces 
B)  to opposite faces, parallel to the faces 
C)  to adjacent faces, perpendicular to the faces 
D)  to adjacent faces, neither parallel or perpendicular to the faces 
E)  to a single face, in any direction

Question 2

A uniform ladder is 10 cm long and weighs 400 N. It rests with its upper end against a frictionless vertical wall. Its lower end rests on the ground and is prevented from slipping by a peg driven into the ground. The ladder makes a 30$\degree$angle with the horizontal. The force exerted on the wall by the ladder is:

Accepted Answer

A)  48 N 
B)  74 N 
C)  120 N 
D)  350 N 
E)  610 N 
A)  48 N 
B)  74 N 
C)  120 N 
D)  350 N 
E)  610 N

Question 3

A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 * 109 N/m2. When it is subjected to a pressure of 3.0 *105 Pa its volume is:

Accepted Answer

A)  7.31 cm3 
B)  7.99931 cm3 
C)  8.00069 cm3 
D)  8.69 cm3 
E)  none of these 
A)  7.31 cm3 
B)  7.99931 cm3 
C)  8.00069 cm3 
D)  8.69 cm3 
E)  none of these

Question 4

A uniform 240-g meter stick can be balanced by a 240-g weight placed at the 100-cm mark if the fulcrum is placed at the point marked:

Accepted Answer

A)  75 cm 
B)  60 cm 
C)  50 cm 
D)  40 cm 
E)  80 cm 
A)  75 cm 
B)  60 cm 
C)  50 cm 
D)  40 cm 
E)  80 cm

Question 5

A ladder leans against a wall. If the ladder is not to slip, which one of the following must be true?

Accepted Answer

A)  The coefficient of friction between the ladder and the wall must not be zero 
B)  The coefficient of friction between the ladder and the floor must not be zero 
C)  Both A and B 
D)  Either A or B 
E)  Neither A nor B 
A)  The coefficient of friction between the ladder and the wall must not be zero 
B)  The coefficient of friction between the ladder and the floor must not be zero 
C)  Both A and B 
D)  Either A or B 
E)  Neither A nor B

Question 6

A meter stick on a horizontal frictionless table top is pivoted at the 80-cm mark. A force   is applied perpendicularly to the end of the stick at 0 cm, as shown. A second force   (not shown) is applied perpendicularly at the 100-cm end of the stick. The forces are horizontal. If the stick does not move, the force exerted by the pivot on the stick:

Accepted Answer

A)  must be zero 
B)  must be in the same direction as   and have magnitude   
C)  must be directed opposite to   and have magnitude   
D)  must be in the same direction as   and have magnitude   
E)  must be directed opposite to   and have magnitude   
A)  must be zero 
B)  must be in the same direction as   and have magnitude   
C)  must be directed opposite to   and have magnitude   
D)  must be in the same direction as   and have magnitude   
E)  must be directed opposite to   and have magnitude

Question 7

The center of gravity coincides with the center of mass:

Accepted Answer

A)  always 
B)  never 
C)  if the center of mass is at the geometrical center of the body 
D)  if the acceleration due to gravity is uniform over the body 
E)  if the body has a uniform distribution of mass 
A)  always 
B)  never 
C)  if the center of mass is at the geometrical center of the body 
D)  if the acceleration due to gravity is uniform over the body 
E)  if the body has a uniform distribution of mass

Question 8

A uniform rod AB is 1.2 m long and weighs 16 N. It is suspended by strings AC and BD as shown. A block P weighing 96 N is attached at E, 0.30 m from A. The magnitude of the tension force in the string BD is:

Accepted Answer

A)  8.0 N 
B)  24 N 
C)  32 N 
D)  48 N 
E)  80 N 
A)  8.0 N 
B)  24 N 
C)  32 N 
D)  48 N 
E)  80 N

Question 9

The diagram shows a stationary 5-kg uniform rod (AC), 1 m long, held against a wall by a rope (AE) and friction between the rod and the wall. To use a single equation to find the force exerted on the rod by the rope at which point should you place the reference point for computing torque?

Accepted Answer

A)  A 
B)  B 
C)  C 
D)  D 
E)  E 
A)  A 
B)  B 
C)  C 
D)  D 
E)  E

Question 10

A 5.0 m weightless strut, hinged to a wall, is used to support a 800-N block as shown. The horizontal and vertical components of the force of the hinge on the strut are:

Accepted Answer

A)  FH = 800 N, FY = 800 N 
B)  FH = 600 N, FY = 800 N 
C)  FH = 800 N, FY = 600 N 
D)  FH = 1200 N, FY = 800 N 
E)  FH = 0 , FY = 800 N 
A)  FH = 800 N, FY = 800 N 
B)  FH = 600 N, FY = 800 N 
C)  FH = 800 N, FY = 600 N 
D)  FH = 1200 N, FY = 800 N 
E)  FH = 0 , FY = 800 N

Question 11

A 400-N uniform vertical boom is attached to the ceiling by a hinge, as shown. An 800-N weight W and a horizontal guy wire are attached to the lower end of the boom as indicated. The pulley is massless and frictionless. The tension force T of the horizontal guy wire has magnitude:

Accepted Answer

A)  340 N 
B)  400 N 
C)  690 N 
D)  800 N 
E)  1200 N 
A)  340 N 
B)  400 N 
C)  690 N 
D)  800 N 
E)  1200 N

Question 12

A net torque applied to a rigid object always tends to produce:

Accepted Answer

A)  linear acceleration 
B)  rotational equilibrium 
C)  angular acceleration 
D)  rotational inertia 
E)  none of these 
A)  linear acceleration 
B)  rotational equilibrium 
C)  angular acceleration 
D)  rotational inertia 
E)  none of these

Question 13

An 80-N uniform plank leans against a frictionless wall as shown. The torque (about point P) applied to the plank by the wall is:

Accepted Answer

A)  40 N.m 
B)  60 N.m 
C)  120 N.m 
D)  160 N.m 
E)  240 N.m 
A)  40 N.m 
B)  60 N.m 
C)  120 N.m 
D)  160 N.m 
E)  240 N.m

Exam 12: Equilibrium and Elasticity

To shear a cube-shaped object, forces of equal magnitude and opposite directions might be applied:

A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 * 109 N/m2. When it is subjected to a pressure of 3.0 *105 Pa its volume is:

A uniform 240-g meter stick can be balanced by a 240-g weight placed at the 100-cm mark if the fulcrum is placed at the point marked:

A ladder leans against a wall. If the ladder is not to slip, which one of the following must be true?

The center of gravity coincides with the center of mass:

A uniform rod AB is 1.2 m long and weighs 16 N. It is suspended by strings AC and BD as shown. A block P weighing 96 N is attached at E, 0.30 m from A. The magnitude of the tension force in the string BD is:

The diagram shows a stationary 5-kg uniform rod (AC), 1 m long, held against a wall by a rope (AE) and friction between the rod and the wall. To use a single equation to find the force exerted on the rod by the rope at which point should you place the reference point for computing torque?

A 5.0 m weightless strut, hinged to a wall, is used to support a 800-N block as shown. The horizontal and vertical components of the force of the hinge on the strut are:

A 400-N uniform vertical boom is attached to the ceiling by a hinge, as shown. An 800-N weight W and a horizontal guy wire are attached to the lower end of the boom as indicated. The pulley is massless and frictionless. The tension force T of the horizontal guy wire has magnitude:

A net torque applied to a rigid object always tends to produce:

An 80-N uniform plank leans against a frictionless wall as shown. The torque (about point P) applied to the plank by the wall is:

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A cube with edges exactly 2 cm long is made of material with a bulk modulus of 3.5 * 10⁹ N/m². When it is subjected to a pressure of 3.0 *10⁵ Pa its volume is: