A pulley with radius R is free to rotate on a horizontal fixed axis through its center.A string passes over the pulley.Mass m1 is attached to one end and mass m2 is attached to the other.The portion of the string attached to m1 has tension T1 and the portion attached to m2 has tension T2.The magnitude of the total external torque, about the pulley center, acting on the masses and pulley, considered as a system, is given by:

A) "$\vert$m1 - m2$\vert$gR" B) "(m1 + m2)gR" C) "$\vert$m1 - m2$\vert$gR + (T1 + T2)R" D) "(m1 + m2)gR + (T1 - T2)R" E) "$\vert$m1 - m2$\vert$gR + (T1 - T2)R" A) "$\vert$m1 - m2$\vert$gR" B) "(m1 + m2)gR" C) "$\vert$m1 - m2$\vert$gR + (T1 + T2)R" D) "(m1 + m2)gR + (T1 - T2)R" E) "$\vert$m1 - m2$\vert$gR + (T1 - T2)R"

An ice skater with rotational inertia I0 is spinning with angular speed $ \omega $0.She pulls her arms in, thereby increasing her angular speed to 4$ \omega $0.Her rotational inertia is then:

A) I0 B) I0 /2 C) 2 I0 D) I0 /4 E) 4 I0 A) I0 B) I0 /2 C) 2 I0 D) I0 /4 E) 4 I0

The unit kg.m2/s can be used for:

A) angular momentum B) rotational kinetic energy C) rotational inertia D) torque E) power A) angular momentum B) rotational kinetic energy C) rotational inertia D) torque E) power

Exam 11: Rolling, Torque, and Angular Momentum

Explore all topics

A pulley with radius R is free to rotate on a horizontal fixed axis through its center.A string passes over the pulley.Mass m₁ is attached to one end and mass m₂ is attached to the other.The portion of the string attached to m₁ has tension T₁ and the portion attached to m₂ has tension T₂.The magnitude of the total external torque, about the pulley center, acting on the masses and pulley, considered as a system, is given by:

(Multiple Choice)

4.9/5

(35)

Question 41

The angular momentum vector of Earth, due to its daily rotation, is directed:

(Multiple Choice)

4.9/5

(43)

Question 42

Two objects are moving in the x, y plane as shown.The magnitude of their total angular momentum (about the origin O)is:

(Multiple Choice)

4.7/5

(34)

Question 43

Which of the following is NOT a vector?

(Multiple Choice)

4.8/5

(32)

Question 44

A rod rests on frictionless ice.Forces that are equal in magnitude and opposite in direction are simultaneously applied to its ends as shown.The quantity that has a magnitude of zero is its:

(Multiple Choice)

4.9/5

(29)

Question 45

A yo-yo, arranged as shown, rests on a frictionless surface.When a force is applied to the string as shown, the yo-yo:

(Multiple Choice)

4.9/5

(37)

Question 46

A uniform sphere of radius R rotates about a diameter with angular momentum of magnitude L.Under the action of internal forces the sphere collapses to a uniform sphere of radius R/2.The magnitude of its new angular momentum is:

(Multiple Choice)

4.8/5

(36)

Question 47

A simple gyroscope consists of a wheel (R = 0.75 m, I = 0.9 MR²)rotating on a horizontal shaft.If the shaft is balanced on a pivot 0.50 m from the wheel, and the wheel rotates at 500 rev/min, what is the precession frequency of the wheel?

(Multiple Choice)

4.9/5

(32)

Question 48

When the speed of a rear-drive car is increasing on a horizontal road the direction of the frictional force on the tires is:

(Multiple Choice)

4.9/5

(37)

Question 49

A particle, held by a string whose other end is attached to a fixed point C, moves in a circle on a horizontal frictionless surface.If the string is cut, the angular momentum of the particle about the point C:

(Multiple Choice)

4.9/5

(35)

Question 50

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40.If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR², then the maximum acceleration the cylinder can have without sliding is:

(Multiple Choice)

4.8/5

(36)

Question 51

The newton.second is a unit of:

(Multiple Choice)

4.8/5

(33)

Question 52

A 15-g paper clip is attached to the rim of a phonograph record with a diameter of 30 cm, spinning at 3.5 rad/s.The magnitude of its angular momentum is:

(Multiple Choice)

4.9/5

(47)

Question 53

A hoop rolls with constant velocity and without sliding along level ground.Its rotational kinetic energy is:

(Multiple Choice)

5.0/5

(38)

Question 54

An ice skater with rotational inertia I₀ is spinning with angular speed $\omega$ ₀.She pulls her arms in, thereby increasing her angular speed to 4 $\omega$ ₀.Her rotational inertia is then:

(Multiple Choice)

4.8/5

(36)

Question 55

The unit kg.m²/s can be used for:

(Multiple Choice)

4.8/5

(33)

Question 56

When a wheel rolls without slipping,

(Multiple Choice)

4.8/5

(32)

Question 57

A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s².At the end of 2.0 s its angular momentum about the origin is:

(Multiple Choice)

4.8/5

(34)

Question 58

A single force acts on a particle situated on the positive x axis.The torque about the origin is in the negative z direction.The force might be:

(Multiple Choice)

4.8/5

(33)

Question 59

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown.Starting from rest, the wheel moves with constant angular acceleration 6 rad/s².The distance in traveled by the center of the wheel from t = 0 to t = 3 s is:

(Multiple Choice)

4.8/5

(39)

Question 60

Showing 41 - 60 of 65

Exam 11: Rolling, Torque, and Angular Momentum

The angular momentum vector of Earth, due to its daily rotation, is directed:

Two objects are moving in the x, y plane as shown.The magnitude of their total angular momentum (about the origin O)is:

Which of the following is NOT a vector?

A rod rests on frictionless ice.Forces that are equal in magnitude and opposite in direction are simultaneously applied to its ends as shown.The quantity that has a magnitude of zero is its:

A yo-yo, arranged as shown, rests on a frictionless surface.When a force is applied to the string as shown, the yo-yo:

A uniform sphere of radius R rotates about a diameter with angular momentum of magnitude L.Under the action of internal forces the sphere collapses to a uniform sphere of radius R/2.The magnitude of its new angular momentum is:

A simple gyroscope consists of a wheel (R = 0.75 m, I = 0.9 MR2)rotating on a horizontal shaft.If the shaft is balanced on a pivot 0.50 m from the wheel, and the wheel rotates at 500 rev/min, what is the precession frequency of the wheel?

When the speed of a rear-drive car is increasing on a horizontal road the direction of the frictional force on the tires is:

A particle, held by a string whose other end is attached to a fixed point C, moves in a circle on a horizontal frictionless surface.If the string is cut, the angular momentum of the particle about the point C:

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40.If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR2, then the maximum acceleration the cylinder can have without sliding is:

The newton.second is a unit of:

A 15-g paper clip is attached to the rim of a phonograph record with a diameter of 30 cm, spinning at 3.5 rad/s.The magnitude of its angular momentum is:

A hoop rolls with constant velocity and without sliding along level ground.Its rotational kinetic energy is:

An ice skater with rotational inertia I0 is spinning with angular speed ω \omega ω 0.She pulls her arms in, thereby increasing her angular speed to 4 ω \omega ω 0.Her rotational inertia is then:

The unit kg.m2/s can be used for:

When a wheel rolls without slipping,

A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s2.At the end of 2.0 s its angular momentum about the origin is:

A single force acts on a particle situated on the positive x axis.The torque about the origin is in the negative z direction.The force might be:

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown.Starting from rest, the wheel moves with constant angular acceleration 6 rad/s2.The distance in traveled by the center of the wheel from t = 0 to t = 3 s is:

Measurement

Motion Along a Straight Line

Vector

Motion in Two and Three Dimensions

Force and Motion I

Force and Motion II

Kinetic Energy and Work

Potential Energy and Conservation of Energy

Center of Mass and Linear Momentum

Rotation

Equilibrium and Elasticity

Gravitation

Fluids

Oscillations

Waves I

Waves II

Temperature, Heat, and the First Law of Thermodynamics

The Kinetic Theory of Gases

Entropy and the Second Law of Thermodynamics

Electric Charge

Electric Fields

Gauss Law

Electric Potential

Capacitance

Current and Resistance

Circuits

Magnetic Fields

Magnetic Fields Due to Currents

Induction and Inductance

Electromagnetic Oscillations and Alternating Current

Maxwells Equations; Magnetism of Matter

Electromagnetic Waves

Images

Interference

Diffraction

Relativity

Photons and Matter Waves

More About Matter Waves

All About Atoms

Conduction of Electricity in Solids

Nuclear Physics

Energy From the Nucleus

Quarks, Leptons, and the Big Bang

Filters

A simple gyroscope consists of a wheel (R = 0.75 m, I = 0.9 MR²)rotating on a horizontal shaft.If the shaft is balanced on a pivot 0.50 m from the wheel, and the wheel rotates at 500 rev/min, what is the precession frequency of the wheel?

The coefficient of static friction between a certain cylinder and a horizontal floor is 0.40.If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/2)MR², then the maximum acceleration the cylinder can have without sliding is:

An ice skater with rotational inertia I₀ is spinning with angular speed $\omega$ ₀.She pulls her arms in, thereby increasing her angular speed to 4 $\omega$ ₀.Her rotational inertia is then:

The unit kg.m²/s can be used for:

A 2.0-kg block starts from rest on the positive x axis 3.0 m from the origin and thereafter has an acceleration given by in m/s².At the end of 2.0 s its angular momentum about the origin is:

A wheel of radius 0.5 m rolls without sliding on a horizontal surface as shown.Starting from rest, the wheel moves with constant angular acceleration 6 rad/s².The distance in traveled by the center of the wheel from t = 0 to t = 3 s is: