A nonuniform 2.0-kg rod is 2.0 m long.The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod.The moment of inertia of the rod about this axis is 4.0 kg⋅m2.The center of mass of the rod is 1.2 m from the axis.If the rod is released from rest in the horizontal position,what is its angular speed as it swings through the vertical position?

A) 3.4 rad/s B) 4.4 rad/s C) 4.3 rad/s D) 5.8 rad/s E) 6.8 rad/s A) 3.4 rad/s B) 4.4 rad/s C) 4.3 rad/s D) 5.8 rad/s E) 6.8 rad/s

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s2 turns through 2.4 revolutions during a 2.0-s time interval.What is the angular velocity at the end of this time interval?

A) 9.5 rad/s B) 9.7 rad/s C) 9.3 rad/s D) 9.1 rad/s E) 8.8 rad/s A) 9.5 rad/s B) 9.7 rad/s C) 9.3 rad/s D) 9.1 rad/s E) 8.8 rad/s

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t3,where θ is measured in radians and t in seconds.What is the angular acceleration of the wheel at t = 2.0 s?

A) −1.0 rad/s2 B) −24 rad/s2 C) −2.0 rad/s2 D) −4.0 rad/s2 E) −3.5 rad/s2 A) −1.0 rad/s2 B) −24 rad/s2 C) −2.0 rad/s2 D) −4.0 rad/s2 E) −3.5 rad/s2

A thin uniform rod (length = 1.2 m,mass = 2.0 kg)is pivoted about a horizontal,frictionless pin through one end of the rod.(The moment of inertia of the rod about this axis is ML2/3. )The rod is released when it makes an angle of 37° with the horizontal.What is the angular acceleration of the rod at the instant it is released?

A) 9.8 rad/s2 B) 7.4 rad/s2 C) 8.4 rad/s2 D) 5.9 rad/s2 E) 6.5 rad/s2 A) 9.8 rad/s2 B) 7.4 rad/s2 C) 8.4 rad/s2 D) 5.9 rad/s2 E) 6.5 rad/s2

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

A) 4.9 rad B) 4.7 rad C) 4.5 rad D) 4.3 rad E) 4.1 rad A) 4.9 rad B) 4.7 rad C) 4.5 rad D) 4.3 rad E) 4.1 rad

Exam 10: Rotation of a Rigid Object About a Fixed Axis

A wheel (radius = 0.25 m)is mounted on a frictionless,horizontal axis.The moment of inertia of the wheel about the axis is 0.040 kg⋅m².A light cord wrapped around the wheel supports a 0.50-kg object as shown in the figure.The object is released from rest.What is the magnitude of the acceleration of the 0.50-kg object?

(Multiple Choice)

4.7/5

(38)

Question 41

A celestial object called a pulsar emits its light in short bursts that are synchronized with its rotation.A pulsar in the Crab Nebula is rotating at a rate of 30 revolutions/second.What is the maximum radius of the pulsar,if no part of its surface can move faster than the speed of light (3 × 10⁸ m/s)?

(Short Answer)

4.9/5

(31)

Question 42

A small sphere attached to a light rigid rod rotates about an axis perpendicular to and fixed to the other end of the rod.Relative to the positive direction of the axis of rotation,the angular positions of the sphere are positive,its angular velocity is positive,and its angular acceleration is negative.The sphere is

(Multiple Choice)

4.9/5

(36)

Question 43

A campus bird spots a member of an opposing football team in an amusement park.The football player is on a ride where he goes around at angular velocity ω at distance R from the center.The bird flies in a horizontal circle above him.Will a dropping the bird releases while flying directly above the person's head hit him?

(Multiple Choice)

4.8/5

(38)

Question 44

A nonuniform 2.0-kg rod is 2.0 m long.The rod is mounted to rotate freely about a horizontal axis perpendicular to the rod that passes through one end of the rod.The moment of inertia of the rod about this axis is 4.0 kg⋅m².The center of mass of the rod is 1.2 m from the axis.If the rod is released from rest in the horizontal position,what is its angular speed as it swings through the vertical position?

(Multiple Choice)

4.8/5

(32)

Question 45

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.What is her angular displacement (in rad)in the 16 minute period shown in the graph?

(Multiple Choice)

4.8/5

(38)

Question 46

A mass (M₁ = 5.0 kg)is connected by a light cord to a mass (M₂ = 4.0 kg)which slides on a smooth surface,as shown in the figure.The pulley (radius = 0.20 m)rotates about a frictionless axle.The acceleration of M₂ is 3.5 m/s².What is the moment of inertia of the pulley?

(Multiple Choice)

4.8/5

(38)

Question 47

Identical particles are placed at the 50-cm and 80-cm marks on a meter stick of negligible mass.This rigid body is then mounted so as to rotate freely about a pivot at the 0-cm mark on the meter stick.If this body is released from rest in a horizontal position,what is the angular speed of the meter stick as it swings through its lowest position?

(Multiple Choice)

4.9/5

(42)

Question 48

Four identical particles (mass of each = 0.40 kg)are placed at the vertices of a rectangle (2.0 m × 3.0 m)and held in those positions by four light rods which form the sides of the rectangle.What is the moment of inertia of this rigid body about an axis that passes through the mid-points of the longer sides and is parallel to the shorter sides?

(Multiple Choice)

4.8/5

(36)

Question 49

The rigid object shown is rotated about an axis perpendicular to the paper and through point P.The total kinetic energy of the object as it rotates is equal to 1.4 J.If M = 1.3 kg and L = 0.50 m,what is the angular velocity of the object? Neglect the mass of the connecting rods and treat the masses as particles.

(Multiple Choice)

4.9/5

(39)

Question 50

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at the horizontal position.What is the angular acceleration of the rod at the instant the rod makes an angle of 70° with the horizontal?

(Multiple Choice)

4.8/5

(35)

Question 51

The rigid body shown is rotated about an axis perpendicular to the paper and through the point P.If M = 0.40 kg,a = 30 cm,and b = 50 cm,how much work is required to take the body from rest to an angular speed of 5.0 rad/s? Neglect the mass of the connecting rods and treat the masses as particles.

(Multiple Choice)

4.7/5

(31)

Question 52

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s² turns through 2.4 revolutions during a 2.0-s time interval.What is the angular velocity at the end of this time interval?

(Multiple Choice)

4.9/5

(41)

Question 53

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t³,where θ is measured in radians and t in seconds.What is the angular acceleration of the wheel at t = 2.0 s?

(Multiple Choice)

4.7/5

(38)

Question 54

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.How many revolutions does she complete in the 16 minute period?

(Multiple Choice)

4.8/5

(37)

Question 55

A thin uniform rod (length = 1.2 m,mass = 2.0 kg)is pivoted about a horizontal,frictionless pin through one end of the rod.(The moment of inertia of the rod about this axis is ML²/3. )The rod is released when it makes an angle of 37° with the horizontal.What is the angular acceleration of the rod at the instant it is released?

(Multiple Choice)

4.8/5

(36)

Question 56

When a wheel is rolling without slipping,the magnitude of its velocity relative to the ground is greatest at

(Multiple Choice)

5.0/5

(33)

Question 57

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

(Multiple Choice)

4.7/5

(37)

Question 58

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars.If the two cars are in line at t = 0,and moving at 3ω and ω respectively,at what time will they next pass each other?

(Multiple Choice)

4.9/5

(26)

Question 59

You throw a Frisbee of mass m and radius r so that it is spinning about a horizontal axis perpendicular to the plane of the Frisbee.Ignoring air resistance,the torque exerted about its center of mass by gravity is

(Multiple Choice)

4.7/5

(42)

Question 60

Showing 41 - 60 of 82

Exam 10: Rotation of a Rigid Object About a Fixed Axis

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.What is her angular displacement (in rad)in the 16 minute period shown in the graph?

A mass (M1 = 5.0 kg)is connected by a light cord to a mass (M2 = 4.0 kg)which slides on a smooth surface,as shown in the figure.The pulley (radius = 0.20 m)rotates about a frictionless axle.The acceleration of M2 is 3.5 m/s2.What is the moment of inertia of the pulley?

A uniform rod is 2.0 m long.The rod is pivoted about a horizontal,frictionless pin through one end.The rod is released from rest at the horizontal position.What is the angular acceleration of the rod at the instant the rod makes an angle of 70° with the horizontal?

The rigid body shown is rotated about an axis perpendicular to the paper and through the point P.If M = 0.40 kg,a = 30 cm,and b = 50 cm,how much work is required to take the body from rest to an angular speed of 5.0 rad/s? Neglect the mass of the connecting rods and treat the masses as particles.

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s2 turns through 2.4 revolutions during a 2.0-s time interval.What is the angular velocity at the end of this time interval?

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t3,where θ is measured in radians and t in seconds.What is the angular acceleration of the wheel at t = 2.0 s?

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.How many revolutions does she complete in the 16 minute period?

When a wheel is rolling without slipping,the magnitude of its velocity relative to the ground is greatest at

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?

Two people are on a ride where the inside cars rotate at constant angular velocity three times the constant angular velocity of the outer cars.If the two cars are in line at t = 0,and moving at 3ω and ω respectively,at what time will they next pass each other?

You throw a Frisbee of mass m and radius r so that it is spinning about a horizontal axis perpendicular to the plane of the Frisbee.Ignoring air resistance,the torque exerted about its center of mass by gravity is

Physics and Measurement

Motion in One Dimension

Vectors

Motion in Two Dimensions

The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

Energy of a System

Conservation of Energy

Linear Momentum and Collisions

Angular Momentum

Static Equilibrium and Elasticity

Universal Gravitation

Fluid Mechanics

Oscillatory Motion

Wave Motion

Sound Waves

Superposition and Standing Waves

Temperature

The First Law of Thermodynamics

The Kinetic Theory of Gases

Heat Engines, entropy, and the Second Law of Thermodynamics

Electric Fields

Gausss Law

Electric Potential

Capacitance and Dielectrics

Current and Resistance

Direct-Current Circuits

Magnetic Fields

Sources of the Magnetic Field

Faradays Law

Inductance

Alternating-Current Circuits

Electromagnetic Waves

The Nature of Light and the Principles of Ray Optics

Image Formation

Wave Optics

Diffraction Patterns and Polarization

Relativity

Introduction to Quantum Physics

Quantum Mechanics

Atomic Physics

Molecules and Solids

Nuclear Structure

Applications of Nuclear Physics

Particle Physics and Cosmology

Filters

A mass (M₁ = 5.0 kg)is connected by a light cord to a mass (M₂ = 4.0 kg)which slides on a smooth surface,as shown in the figure.The pulley (radius = 0.20 m)rotates about a frictionless axle.The acceleration of M₂ is 3.5 m/s².What is the moment of inertia of the pulley?

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s² turns through 2.4 revolutions during a 2.0-s time interval.What is the angular velocity at the end of this time interval?

A wheel rotating about a fixed axis has an angular position given by θ = 3.0 − 2.0t³,where θ is measured in radians and t in seconds.What is the angular acceleration of the wheel at t = 2.0 s?

At t = 0,a wheel rotating about a fixed axis at a constant angular acceleration of −0.40 rad/s² has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad.What is the angular position of the wheel at t = 2.0 s?