Question 1

A 24.0 N picture hangs from a nail in the wall.The diameter of the nail is 2.00 mm.The shear stress on the nail is

Accepted Answer

A)  7.64 $\times$ 106 N/m2. 
B)  6.24 $\times$ 106 N/m2. 
C)  5.65 $\times$ 106 N/m2. 
D)  4.37 $\times$ 106 N/m2. 
E)  4.02 $\times$ 106 N/m2. 
A)  7.64 $\times$ 106 N/m2. 
B)  6.24 $\times$ 106 N/m2. 
C)  5.65 $\times$ 106 N/m2. 
D)  4.37 $\times$ 106 N/m2. 
E)  4.02 $\times$ 106 N/m2.

Question 2

A 75 g block is placed into oscillation of amplitude 22 cm as it hangs from a vertical spring.If it observed to have a maximum speed of 14 m/s as it travels through the equilibrium position,what is the spring constant?

Accepted Answer

A)  300 N/m 
B)  22 N/m 
C)  4.8 N/m 
D)  1200 N/m 
A)  300 N/m 
B)  22 N/m 
C)  4.8 N/m 
D)  1200 N/m

Question 3

A nail with a diameter of 1.00 mm projects 25.0 mm horizontally outward from a wall.A 40.0 N picture is hung from the end of the nail.If the shear modulus is 3.40 $\times$ 1010 N/m2,then how much does the nail deflect downward?

Accepted Answer

A)  37.5 $\times$ 10-6 m 
B)  44.5 $\times$ 10-6 m 
C)  47.8 $\times$ 10-6 m 
D)  56.5 $\times$ 10-6 m 
E)  78.5 $\times$ 10-6 m 
A)  37.5 $\times$ 10-6 m 
B)  44.5 $\times$ 10-6 m 
C)  47.8 $\times$ 10-6 m 
D)  56.5 $\times$ 10-6 m 
E)  78.5 $\times$ 10-6 m

Question 4

A steel ball with a diameter of 10 cm is subjected to a pressure that causes the volume of the ball to shrink by 0.01%.The bulk modulus for steel is 16.0 $\times$ 1010 N/m2.What is the pressure?

Accepted Answer

A)  2.4 $\times$ 107 N/m2 
B)  2.1 $\times$ 107 N/m2 
C)  1.9 $\times$  107 N/m2 
D)  1.6 $\times$ 107 N/m2 
E)  1.2 $\times$ 107 N/m2 
A)  2.4 $\times$ 107 N/m2 
B)  2.1 $\times$ 107 N/m2 
C)  1.9 $\times$  107 N/m2 
D)  1.6 $\times$ 107 N/m2 
E)  1.2 $\times$ 107 N/m2

Question 5

A rod with a diameter of 3.00 mm,projects 2.0 cm horizontally outward from a wall.A 50.0 N weight is hung from the end of the rod and the rod deflects downward by 2.00 $\times$ 10-6 m.The shear strain of the rod is

Accepted Answer

A)  1.00 $\times$ 10-4. 
B)  1.50 $\times$ 10-4. 
C)  2.00 $\times$ 10-4. 
D)  2.50 $\times$ 10-4. 
E)  3.00 $\times$ 10-4. 
A)  1.00 $\times$ 10-4. 
B)  1.50 $\times$ 10-4. 
C)  2.00 $\times$ 10-4. 
D)  2.50 $\times$ 10-4. 
E)  3.00 $\times$ 10-4.

Question 6

A force of 500 N is applied to a rod with a diameter of 4.00 mm.The stress in the rod is

Accepted Answer

A)  5.38 $\times$ 107 N/m2. 
B)  4.66 $\times$ 107 N/m2. 
C)  4.25 $\times$ 107 N/m2. 
D)  3.98 $\times$ 107 N/m2. 
E)  2.75 $\times$ 107 N/m2. 
A)  5.38 $\times$ 107 N/m2. 
B)  4.66 $\times$ 107 N/m2. 
C)  4.25 $\times$ 107 N/m2. 
D)  3.98 $\times$ 107 N/m2. 
E)  2.75 $\times$ 107 N/m2.

Question 7

An equation that describes the displacement in Simple Harmonic Motion is: x(t) = 1.20 m sin(2.40 rad/s t).What is the maximum velocity of the SHM?

Accepted Answer

A)  5.32 m/s 
B)  4.82 m/s 
C)  3.68 m/s 
D)  2.88 m/s 
E)  2.03 m/s 
A)  5.32 m/s 
B)  4.82 m/s 
C)  3.68 m/s 
D)  2.88 m/s 
E)  2.03 m/s

Question 8

A disk is suspended by a nail such that the pivots in a vertical plane about a point on the edge of the disk.If the period of oscillation of the disk is 1.25 s ,what is the disk's radius?

Accepted Answer

A)  26 cm 
B)  78 cm 
C)  Cannot answer without knowing the disk's mass 
D)  51 cm 
A)  26 cm 
B)  78 cm 
C)  Cannot answer without knowing the disk's mass 
D)  51 cm

Question 9

A cube is subjected to a pressure of 10.0 atmospheres.The un-squeezed length of one side of the cube is 1.20 cm.The squeezed length of one side of the cube is 1.18 cm.The bulk strain on the cube is

Accepted Answer

A)  0.0362. 
B)  0.0492. 
C)  0.0534. 
D)  0.0598. 
E)  0.0645. 
A)  0.0362. 
B)  0.0492. 
C)  0.0534. 
D)  0.0598. 
E)  0.0645.

Question 10

A force of 15.0 N is applied to a wire with an un-stretched length of 4.00 m and a diameter of 5.00 mm.If the wire changed length by 1.20 mm,then the strain in the wire is

Accepted Answer

A)  1.00 $\times$ 10-4. 
B)  2.00 $\times$ 10-4. 
C)  3.00 $\times$ 10-4. 
D)  4.00 $\times$ 10-4. 
E)  5.00 $\times$ 10-4. 
A)  1.00 $\times$ 10-4. 
B)  2.00 $\times$ 10-4. 
C)  3.00 $\times$ 10-4. 
D)  4.00 $\times$ 10-4. 
E)  5.00 $\times$ 10-4.

Question 11

A 2.00 m brass rod with a 1.00 mm diameter is used as a spring by stretching the rod.If the tensile modulus of brass is 9.10 $\times$ 1010 N/m2,then the spring constant of the rod is

Accepted Answer

A)  4.67 $\times$ 104 N/m. 
B)  4.22 $\times$ 104 N/m. 
C)  3.57 $\times$ 104 N/m. 
D)  2.47 $\times$ 104 N/m. 
E)  2.13 $\times$ 104 N/m. 
A)  4.67 $\times$ 104 N/m. 
B)  4.22 $\times$ 104 N/m. 
C)  3.57 $\times$ 104 N/m. 
D)  2.47 $\times$ 104 N/m. 
E)  2.13 $\times$ 104 N/m.

Question 12

A 2.00 kg mass is connected to a spring with a spring constant of 6.00 N/m.The displacement is given by the expression x(t) = 12.0 cm sin($\omega$ t).What is the maximum velocity the simple harmonic motion?

Accepted Answer

A)  34.8 cm/s 
B)  30.7 cm/s 
C)  25.6 cm/s 
D)  20.8 cm/s 
E)  17.5 cm/s 
A)  34.8 cm/s 
B)  30.7 cm/s 
C)  25.6 cm/s 
D)  20.8 cm/s 
E)  17.5 cm/s

Question 13

A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m.The velocity is given by the expression v(t) = 8.00 cm/s sin($\omega$ t)+ 10.0 cm/s cos($\omega$ t).What is the maximum velocity of the simple harmonic motion?

Accepted Answer

A)  41.0 cm/s 
B)  32.8 cm/s 
C)  24.5 cm/s 
D)  20.5 cm/s 
E)  12.8 cm/s 
A)  41.0 cm/s 
B)  32.8 cm/s 
C)  24.5 cm/s 
D)  20.5 cm/s 
E)  12.8 cm/s

Question 14

A cable has a strain of  2.0 $\times$ 10-3.If the un-stretched length of the cable is 24.0 m,then the change in length of the cable is

Accepted Answer

A)  35 mm. 
B)  48 mm. 
C)  52 mm. 
D)  59 mm. 
E)  67 mm. 
A)  35 mm. 
B)  48 mm. 
C)  52 mm. 
D)  59 mm. 
E)  67 mm.

Question 15

A rod is 2.40 m long and has a diameter of 2.50 mm.A force of 2000 N is applied to the end to stretch the rod by 1.00 mm.What is the tensile modulus for this rod?

Accepted Answer

A)  7.50 $\times$ 1010 N/m2 
B)  8.70 $\times$ 1010 N/m2 
C)  9.78 $\times$ 1010 N/m2 
D)  10.2 $\times$ 1010 N/m2 
E)  10.8 $\times$ 1010 N/m2 
A)  7.50 $\times$ 1010 N/m2 
B)  8.70 $\times$ 1010 N/m2 
C)  9.78 $\times$ 1010 N/m2 
D)  10.2 $\times$ 1010 N/m2 
E)  10.8 $\times$ 1010 N/m2

Question 16

A physical pendulum is composed of a sphere whose center of gravity is attached to a thin rod.The sphere has a moment of inertia of 2/5 MR2.The mass of the sphere is 2.00 kg and has a radius of 30.0 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is

Accepted Answer

A)  2.45 sec. 
B)  2.02 sec. 
C)  1.98 sec. 
D)  1.52 sec. 
E)  1.25 sec. 
A)  2.45 sec. 
B)  2.02 sec. 
C)  1.98 sec. 
D)  1.52 sec. 
E)  1.25 sec.

Question 17

A 1.0 kg mass is connected to a spring with a spring constant of 9.00 N/m.If the initial velocity is 0.0 cm/s and the initial displacement is 2.0 cm,then what is the maximum kinetic energy of the simple harmonic motion?

Accepted Answer

A)  0.014 J 
B)  0.0090 J 
C)  0.0075 J 
D)  0.0018 J 
E)  0.0012 J 
A)  0.014 J 
B)  0.0090 J 
C)  0.0075 J 
D)  0.0018 J 
E)  0.0012 J

Question 18

A mass is suspended vertically from a spring so it is at rest at the equilibrium position.The mass is pulled straight down to an extension x and released so that it oscillates about the equilibrium position.The speed of the mass is greatest when the mass is

Accepted Answer

A)  at its maximum upward travel. 
B)  at the equilibrium point. 
C)  at its maximum lower travel. 
D)  somewhere between the equilibrium point and maximum extension. 
A)  at its maximum upward travel. 
B)  at the equilibrium point. 
C)  at its maximum lower travel. 
D)  somewhere between the equilibrium point and maximum extension.

Question 19

A mass is suspended vertically from a spring so it is at rest at the equilibrium position.The mass is pulled straight down to an extension x and released so that it oscillates about the equilibrium position.The acceleration of the mass is zero when the mass is

Accepted Answer

A)  at its maximum upward travel. 
B)  at the equilibrium point. 
C)  at its maximum lower travel. 
D)  somewhere between the equilibrium point and maximum extension. 
A)  at its maximum upward travel. 
B)  at the equilibrium point. 
C)  at its maximum lower travel. 
D)  somewhere between the equilibrium point and maximum extension.

Question 20

A 1.0 kg mass is connected to a spring with a spring constant of 9.00 N/m.If the initial velocity is 4.00 cm/s and the initial displacement is 2.00 cm,then what is the maximum kinetic energy of the simple harmonic motion?

Accepted Answer

A)  0.0023 J 
B)  0.0078 J 
C)  0.0026 J 
D)  0.0020 J 
E)  0.0012 J 
A)  0.0023 J 
B)  0.0078 J 
C)  0.0026 J 
D)  0.0020 J 
E)  0.0012 J

Exam 10: Elasticity and Oscillations

A 24.0 N picture hangs from a nail in the wall.The diameter of the nail is 2.00 mm.The shear stress on the nail is

A 75 g block is placed into oscillation of amplitude 22 cm as it hangs from a vertical spring.If it observed to have a maximum speed of 14 m/s as it travels through the equilibrium position,what is the spring constant?

A nail with a diameter of 1.00 mm projects 25.0 mm horizontally outward from a wall.A 40.0 N picture is hung from the end of the nail.If the shear modulus is 3.40 ×\times× 1010 N/m2,then how much does the nail deflect downward?

A steel ball with a diameter of 10 cm is subjected to a pressure that causes the volume of the ball to shrink by 0.01%.The bulk modulus for steel is 16.0 ×\times× 1010 N/m2.What is the pressure?

A rod with a diameter of 3.00 mm,projects 2.0 cm horizontally outward from a wall.A 50.0 N weight is hung from the end of the rod and the rod deflects downward by 2.00 ×\times× 10-6 m.The shear strain of the rod is

A force of 500 N is applied to a rod with a diameter of 4.00 mm.The stress in the rod is

An equation that describes the displacement in Simple Harmonic Motion is: x(t) = 1.20 m sin(2.40 rad/s t).What is the maximum velocity of the SHM?

A disk is suspended by a nail such that the pivots in a vertical plane about a point on the edge of the disk.If the period of oscillation of the disk is 1.25 s ,what is the disk's radius?

A cube is subjected to a pressure of 10.0 atmospheres.The un-squeezed length of one side of the cube is 1.20 cm.The squeezed length of one side of the cube is 1.18 cm.The bulk strain on the cube is

A force of 15.0 N is applied to a wire with an un-stretched length of 4.00 m and a diameter of 5.00 mm.If the wire changed length by 1.20 mm,then the strain in the wire is

A 2.00 m brass rod with a 1.00 mm diameter is used as a spring by stretching the rod.If the tensile modulus of brass is 9.10 ×\times× 1010 N/m2,then the spring constant of the rod is

A 2.00 kg mass is connected to a spring with a spring constant of 6.00 N/m.The displacement is given by the expression x(t) = 12.0 cm sin( ω\omegaω t).What is the maximum velocity the simple harmonic motion?

A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m.The velocity is given by the expression v(t) = 8.00 cm/s sin( ω\omegaω t)+ 10.0 cm/s cos( ω\omegaω t).What is the maximum velocity of the simple harmonic motion?

A cable has a strain of 2.0 ×\times× 10-3.If the un-stretched length of the cable is 24.0 m,then the change in length of the cable is

A rod is 2.40 m long and has a diameter of 2.50 mm.A force of 2000 N is applied to the end to stretch the rod by 1.00 mm.What is the tensile modulus for this rod?

A physical pendulum is composed of a sphere whose center of gravity is attached to a thin rod.The sphere has a moment of inertia of 2/5 MR2.The mass of the sphere is 2.00 kg and has a radius of 30.0 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is

A 1.0 kg mass is connected to a spring with a spring constant of 9.00 N/m.If the initial velocity is 0.0 cm/s and the initial displacement is 2.0 cm,then what is the maximum kinetic energy of the simple harmonic motion?

A mass is suspended vertically from a spring so it is at rest at the equilibrium position.The mass is pulled straight down to an extension x and released so that it oscillates about the equilibrium position.The speed of the mass is greatest when the mass is

A mass is suspended vertically from a spring so it is at rest at the equilibrium position.The mass is pulled straight down to an extension x and released so that it oscillates about the equilibrium position.The acceleration of the mass is zero when the mass is

A 1.0 kg mass is connected to a spring with a spring constant of 9.00 N/m.If the initial velocity is 4.00 cm/s and the initial displacement is 2.00 cm,then what is the maximum kinetic energy of the simple harmonic motion?

Introduction

Force

Acceleration and Newtons Second Law of Motion

Motion With Constant Acceleration

Circular Motion

Conservation of Energy

Linear Momentum

Torque and Angular Momentum

Fluids

Waves

Sound

Temperature and the Ideal Gas

Heat

Thermodynamics

Electric Forces and Fields

Electric Potential

Electric Current and Circuits

Magnetic Forces and Fields

Electromagnetic Induction

Alternating Current

Electromagnetic Waves

Reflection and Refraction of Light

Optical Instruments

Interference and Diffraction

Relativity

Early Quantum Physics and the Photon

Quantum Physics

Nuclear Physics

Particle Physics

Filters

A nail with a diameter of 1.00 mm projects 25.0 mm horizontally outward from a wall.A 40.0 N picture is hung from the end of the nail.If the shear modulus is 3.40 $\times$ 10¹⁰ N/m²,then how much does the nail deflect downward?

A steel ball with a diameter of 10 cm is subjected to a pressure that causes the volume of the ball to shrink by 0.01%.The bulk modulus for steel is 16.0 $\times$ 10¹⁰ N/m².What is the pressure?

A rod with a diameter of 3.00 mm,projects 2.0 cm horizontally outward from a wall.A 50.0 N weight is hung from the end of the rod and the rod deflects downward by 2.00 $\times$ 10^-6 m.The shear strain of the rod is

A 2.00 m brass rod with a 1.00 mm diameter is used as a spring by stretching the rod.If the tensile modulus of brass is 9.10 $\times$ 10¹⁰ N/m²,then the spring constant of the rod is

A 2.00 kg mass is connected to a spring with a spring constant of 6.00 N/m.The displacement is given by the expression x(t) = 12.0 cm sin( $\omega$ t).What is the maximum velocity the simple harmonic motion?

A 4.00 kg mass is connected to a spring with a spring constant of 9.00 N/m.The velocity is given by the expression v(t) = 8.00 cm/s sin( $\omega$ t)+ 10.0 cm/s cos( $\omega$ t).What is the maximum velocity of the simple harmonic motion?

A cable has a strain of 2.0 $\times$ 10^-3.If the un-stretched length of the cable is 24.0 m,then the change in length of the cable is

A physical pendulum is composed of a sphere whose center of gravity is attached to a thin rod.The sphere has a moment of inertia of 2/5 MR².The mass of the sphere is 2.00 kg and has a radius of 30.0 cm.The length of the rod is 50.0 cm.The period of the physical pendulum is