A 0.30-m radius automobile tire accelerates from rest at a constant 3 rad/s2.What is the centripetal acceleration of a point on the outer edge of the tire after 5 s?

A) 5.7 m/s2 B) 67.5 m/s2 C) 6.8 m/s2 D) 4.5 m/s2 E) 45.0 m/s2 A) 5.7 m/s2 B) 67.5 m/s2 C) 6.8 m/s2 D) 4.5 m/s2 E) 45.0 m/s2

A Ferris wheel,rotating initially at an angular speed of 0.50 rad/s,accelerates over a 8.0-s interval at a rate of 0.05 rad/s2.What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A) 1.60 rad B) 4.20 rad C) 5.60 rad D) 7.20 rad E) 4.40 rad A) 1.60 rad B) 4.20 rad C) 5.60 rad D) 7.20 rad E) 4.40 rad

A ventilation fan with a moment of inertia of 0.030 kg·m2 has a net torque of 0.14 N·m applied to it.What angular acceleration does it experience?

A) 0.004 rad/s2 B) 4.7 rad/s2 C) 0.21 rad/s2 D) 0.3 rad/s2 E) 0.17 rad/s2 A) 0.004 rad/s2 B) 4.7 rad/s2 C) 0.21 rad/s2 D) 0.3 rad/s2 E) 0.17 rad/s2

A fan blade,initially at rest,rotates with a constant acceleration of 0.020 rad/s2.What is the time interval required for it to reach a 10-rad displacement after starting from rest?

A) 32 s B) 22 s C) 100 s D) 0.2 s E) 45 s A) 32 s B) 22 s C) 100 s D) 0.2 s E) 45 s

Exam 8: Rotational Equilibrium and Rotational Dynamics

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A uniform rod of length L and mass M is pivoted about one end.Attached to the rod is a mass M at its midpoint and at the end opposite the pivot is another mass M.What is the moment of inertia of this configuration about the pivot?

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Question 21

A 0.30-m radius automobile tire accelerates from rest at a constant 3 rad/s².What is the centripetal acceleration of a point on the outer edge of the tire after 5 s?

(Multiple Choice)

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Question 22

A non-uniform rod of length L and mass M is pivoted about one end.The moment of inertia of this rod about its pivoted end is 3 )Attached to the rod is a mass M at its midpoint and at the end opposite the pivot is another mass 3M.What is the moment of inertia of this configuration about the pivot?

(Multiple Choice)

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Question 23

A Ferris wheel,rotating initially at an angular speed of 0.50 rad/s,accelerates over a 8.0-s interval at a rate of 0.05 rad/s².What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

(Multiple Choice)

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Question 24

A bucket of water with total mass 23 kg is attached to a rope,which in turn,is wound around a 0.060-m radius cylinder at the top of a well.A crank with a turning radius of 0.5 m is attached to the end of the cylinder.What minimum force directed perpendicular to the crank handle is required to just raise the bucket? (Assume the rope's mass is negligible,that the cylinder turns on frictionless bearings,and that g = 9.8 m/s². )

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Question 25

A 300-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?

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Question 26

A 3.0-kg mass is placed at (4.0,5.0)m,and a 6.0-kg mass is placed at (4.0,−5.0)m.What is the moment of inertia of this system of masses about the z axis?

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Question 27

A 3.0-kg mass is placed at (2.0,3.0)m,and a 6.0-kg mass is placed at (2.0,−3.0)m.What is the moment of inertia of this system of masses about the x axis?

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Question 28

A grindstone spinning at the rate of 18 rev/s has what approximate angular speed?

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Question 29

A woman who weighs 500 N stands on an 8.0 m long board that weighs 200 N.The board is supported at each end.The support force at the right end is 2 times the support force at the left end.How far from the right end is the woman standing?

(Multiple Choice)

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Question 30

A ventilation fan with a moment of inertia of 0.030 kg·m² has a net torque of 0.14 N·m applied to it.What angular acceleration does it experience?

(Multiple Choice)

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Question 31

A 8.4-kg mass is placed at (4.0,5.0)m.Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?

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Question 32

An object consists of a rod (of length 4.0 m and negligible moment of inertia)to which five small 2.0-kg masses are attached,one at each end and one at each point on the rod 1.0 m from each end.(The masses are one meter apart. )The moment of inertia of this object about an axis perpendicular to the rod and through one of the end masses:

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Question 33

A ventilation fan has blades 0.20 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?

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Question 34

A Ferris wheel,rotating initially at an angular speed of 0.13 rad/s,accelerates over a 5.0-s interval at a rate of 0.050 rad/s².What is its angular speed after this 5.0-s interval?

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Question 35

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.04 m.How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s?

(Multiple Choice)

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Question 36

A 0.30-m radius grinding wheel starts at rest and develops an angular speed of 20 rad/s in 5 s.What is the average tangential acceleration of a point on the wheel's edge?

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Question 37

1700 rev/min is equivalent to which of the following?

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Question 38

A fan blade,initially at rest,rotates with a constant acceleration of 0.020 rad/s².What is the time interval required for it to reach a 10-rad displacement after starting from rest?

(Multiple Choice)

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Question 39

A bank vault is opened by applying a force of 100 N perpendicular to the plane of the door,1.1 m from the hinges.Find the torque due to this force about an axis through the hinges.

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Question 40

Showing 21 - 40 of 60

Exam 8: Rotational Equilibrium and Rotational Dynamics

A uniform rod of length L and mass M is pivoted about one end.Attached to the rod is a mass M at its midpoint and at the end opposite the pivot is another mass M.What is the moment of inertia of this configuration about the pivot?

A 0.30-m radius automobile tire accelerates from rest at a constant 3 rad/s2.What is the centripetal acceleration of a point on the outer edge of the tire after 5 s?

A non-uniform rod of length L and mass M is pivoted about one end.The moment of inertia of this rod about its pivoted end is 3 )Attached to the rod is a mass M at its midpoint and at the end opposite the pivot is another mass 3M.What is the moment of inertia of this configuration about the pivot?

A Ferris wheel,rotating initially at an angular speed of 0.50 rad/s,accelerates over a 8.0-s interval at a rate of 0.05 rad/s2.What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A 300-N uniform ladder,8.0 m long,rests against a smooth vertical wall.The coefficient of static friction between ladder and floor is 0.30.What minimum angle can the ladder make with the floor before it slips?

A 3.0-kg mass is placed at (4.0,5.0)m,and a 6.0-kg mass is placed at (4.0,−5.0)m.What is the moment of inertia of this system of masses about the z axis?

A 3.0-kg mass is placed at (2.0,3.0)m,and a 6.0-kg mass is placed at (2.0,−3.0)m.What is the moment of inertia of this system of masses about the x axis?

A grindstone spinning at the rate of 18 rev/s has what approximate angular speed?

A woman who weighs 500 N stands on an 8.0 m long board that weighs 200 N.The board is supported at each end.The support force at the right end is 2 times the support force at the left end.How far from the right end is the woman standing?

A ventilation fan with a moment of inertia of 0.030 kg·m2 has a net torque of 0.14 N·m applied to it.What angular acceleration does it experience?

A 8.4-kg mass is placed at (4.0,5.0)m.Where can a 4.2-kg mass be placed so that the moment of inertia about the z axis is zero?

A ventilation fan has blades 0.20 m in radius rotating at 30 rpm.What is the tangential speed of each blade tip?

A Ferris wheel,rotating initially at an angular speed of 0.13 rad/s,accelerates over a 5.0-s interval at a rate of 0.050 rad/s2.What is its angular speed after this 5.0-s interval?

A bucket in an old well is hoisted upward by a rope which winds up on a cylinder having a radius of 0.04 m.How many rev/s must the cylinder turn if the bucket is raised at a speed of 0.15 m/s?

A 0.30-m radius grinding wheel starts at rest and develops an angular speed of 20 rad/s in 5 s.What is the average tangential acceleration of a point on the wheel's edge?

1700 rev/min is equivalent to which of the following?

A fan blade,initially at rest,rotates with a constant acceleration of 0.020 rad/s2.What is the time interval required for it to reach a 10-rad displacement after starting from rest?

A bank vault is opened by applying a force of 100 N perpendicular to the plane of the door,1.1 m from the hinges.Find the torque due to this force about an axis through the hinges.

Introduction

Introduction: Part A

Motion in One Dimension

Motion in One Dimension: Part A

Vectors and Two-Dimensional Motion

Vectors and Two-Dimensional Motion: Part A

The Laws of Motion

The Laws of Motion: Part A

Energy

Energy: Part A

Momentum and Collisions

Momentum and Collisions: Part A

Rotational Motion and the Law of Gravity

Rotational Motion and the Law of Gravity: Part A

Rotational Equilibrium and Rotational Dynamics: Part A

Solids and Fluids

Solids and Fluids: Part A

Thermal Physics

Thermal Physics: Part A

Energy in Thermal Processes Heat and Internal Energy

Energy in Thermal Processes Heat and Internal Energy: Part A

The Laws of Thermodynamics Work in Thermodynamic Processes

The Laws of Thermodynamics Work in Thermodynamic Processes: Part A

Vibrations and Waves

Vibrations and Waves: Part A

Sound

Sound: Part A

Electric Forces and Electric Fields

Electric Forces and Electric Fields: Part A

Electrical Energy and Capacitance

Electrical Energy and Capacitance: Part A

Current and Resistance Electric Current

Current and Resistance Electric Current: Part A

Direct-Current Circuits Sources of EMF

Direct-Current Circuits Sources of EMF: Part A

Magnetism Magnets

Magnetism Magnets: Part A

Induced Voltages and Inductance

Induced Voltages and Inductance: Part A

Alternating-Current Circuits and Electromagnetic Waves

Alternating-Current Circuits and Electromagnetic Waves: Part A

Reflection and Refraction of Light

Reflection and Refraction of Light: Part A

Mirrors and Lenses

Mirrors and Lenses: Part A

Wave Optics

Wave Optics: Part A

Optical Instruments

Optical Instruments: Part A

Relativity

Relativity: Part A

Quantum Physics Blackbody Radiation and Plancks Hypothesis

Quantum Physics Blackbody Radiation and Plancks Hypothesis: Part A

Atomic Physics

Atomic Physics: Part A

Nuclear Physics

Nuclear Physics: Part A

Nuclear Energy and Elementary Particles

Nuclear Energy and Elementary Particles: Part A

Particle Collisions, Mediating Photons, and Quark Structures: Exploring the Fundamentals of Physics

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A 0.30-m radius automobile tire accelerates from rest at a constant 3 rad/s².What is the centripetal acceleration of a point on the outer edge of the tire after 5 s?

A Ferris wheel,rotating initially at an angular speed of 0.50 rad/s,accelerates over a 8.0-s interval at a rate of 0.05 rad/s².What angular displacement does the Ferris wheel undergo in this 7.00-s interval?

A ventilation fan with a moment of inertia of 0.030 kg·m² has a net torque of 0.14 N·m applied to it.What angular acceleration does it experience?

A Ferris wheel,rotating initially at an angular speed of 0.13 rad/s,accelerates over a 5.0-s interval at a rate of 0.050 rad/s².What is its angular speed after this 5.0-s interval?

A fan blade,initially at rest,rotates with a constant acceleration of 0.020 rad/s².What is the time interval required for it to reach a 10-rad displacement after starting from rest?