A bowling ball has a mass of 9.0 kg,a moment of inertia of 3.6 × 10−2 kg·m2,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 3 m/s,what is its angular speed?

A) 90 rad/s B) 30 rad/s C) 27 rad/s D) 0.030 rad/s E) 0.090 rad/s A) 90 rad/s B) 30 rad/s C) 27 rad/s D) 0.030 rad/s E) 0.090 rad/s B

A fan blade,initially at rest,rotates with a constant acceleration of 0.016 rad/s2.What is its angular speed at the instant it goes through an angular displacement of 10 rad?

A) 0.40 rad/s B) 0.16 rad/s C) 0.32 rad/s D) 0.57 rad/s E) 1.79 rad/s A) 0.40 rad/s B) 0.16 rad/s C) 0.32 rad/s D) 0.57 rad/s E) 1.79 rad/s

A uniform bridge span weighs 80.0 × 103 N and is 30.0 m long.An automobile weighing 12.0 × 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

A) 44.8 × 103 N B) 54 × 103 N C) 32.8 × 103 N D) 47.2 × 103 N E) 46 × 103 N A) 44.8 × 103 N B) 54 × 103 N C) 32.8 × 103 N D) 47.2 × 103 N E) 46 × 103 N

A bucket of water with total mass 29 kg is attached to a rope,which in turn is wound around a 0.04 m radius cylinder at the top of a well.A crank with a turning radius of 0.20 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.11 kg×m2.If the bucket is raised to the top of the well and released,what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible,that cylinder turns on frictionless bearings and that g = 9.8 m/s2. )

A) 2.1 m/s2 B) 2.9 m/s2 C) 9.8 m/s2 D) 7.7 m/s2 E) 6.9 m/s2 A) 2.1 m/s2 B) 2.9 m/s2 C) 9.8 m/s2 D) 7.7 m/s2 E) 6.9 m/s2

Exam 8: Rotational Equilibrium and Rotational Dynamics

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A baseball pitcher loosens up his pitching arm.He tosses a 0.20-kg ball using only the rotation of his forearm,0.32 m in length,to accelerate the ball.What is the moment of inertia of the ball alone as it moves in a circular arc with a radius of 0.32 m?

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A disk has a moment of inertia of 2.8 × 10−⁴ kg·m² and rotates with an angular speed of 3.6 rad/sec.What net torque must be applied to bring it to rest within 3.9 s?

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A bowling ball has a mass of 9.0 kg,a moment of inertia of 3.6 × 10−² kg·m²,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 3 m/s,what is its angular speed?

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Tasha has mass 25 kg and wants to use a 5.0-m board of mass 12 kg as a seesaw.Her friends are busy,so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board.How far is she from the support point?

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Question 4

A rod of length L is hinged at one end.The moment of inertia as the rod rotates around that hinge is ML²/3.Suppose a 2.0 m rod with a mass of 3 kg is hinged at one end and is held in a horizontal position.The rod is released as the free end is allowed to fall.What is the angular acceleration as it is released?

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Question 5

A uniform,horizontal beam of length 8.0 m and weight 14 N is attached at one end to a wall by a pin connection (so that it may rotate).A cable attached to the wall above the pin supports the opposite end.The cable makes an angle of 60° with the horizontal.What is the tension in the cable needed to maintain the beam in equilibrium?

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Question 6

A fan blade,initially at rest,rotates with a constant acceleration of 0.016 rad/s².What is its angular speed at the instant it goes through an angular displacement of 10 rad?

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Question 7

A 0.40-m radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s² over a 6.0-s interval?

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Question 8

An 700-N billboard worker stands on a 5.0-m scaffold weighing 500 N and supported by vertical ropes at each end.How far would the worker stand from one of the supporting ropes to produce a tension of 780 N in that rope?

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Question 9

A Ferris wheel starts at rest and builds up to a final angular speed of 0.60 rad/s while rotating through an angular displacement of 2.5 rad.What is its average angular acceleration?

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Question 10

A uniform bridge span weighs 80.0 × 10³ N and is 30.0 m long.An automobile weighing 12.0 × 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

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Question 11

A bucket of water with total mass 29 kg is attached to a rope,which in turn is wound around a 0.04 m radius cylinder at the top of a well.A crank with a turning radius of 0.20 m is attached to the end of the cylinder and the moment of inertia of cylinder and crank is 0.11 kg×m².If the bucket is raised to the top of the well and released,what is the acceleration of the bucket as it falls toward the bottom of the well? (Assume rope's mass is negligible,that cylinder turns on frictionless bearings and that g = 9.8 m/s². )

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Question 12

A bucket of water with total mass 25 kg is attached to a rope,which in turn is wound around a 0.04-m radius cylinder at the top of a well.The bucket is raised to the top of the well and released.The bucket is moving with a speed of 5.0 m/s upon hitting the water surface in the well.What is the angular speed of the cylinder at this instant?

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Question 13

A 4.0-m rod is pivoted about its left end.A force of 10 N is applied perpendicular to the rod at a distance of1.3 m from the pivot causing a ccw torque,and a force of 5.6 N is applied at the end of the rod 4.0 m from the pivot.The 5.6-N force is at an angle of 30^o to the rod and causes a cw torque.What is the net torque about the pivot? (Take ccw as positive. )

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Question 14

A solid sphere of radius R is placed on an incline that makes an angle With the horizontal.The sphere rolls down the incline without slipping.What is its acceleration?

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Question 15

A bucket filled with water has a mass of 24 kg and is attached to a rope,which in turn,is wound around a 0.070-m radius cylinder at the top of a well.What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.8 m/s²)

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Question 16

Two hoops or rings (I = MR²)are centered,lying on a turntable.The smaller ring has radius = 0.05 m;the larger has radius = 0.1 m.Both have a mass of 6.0 kg.What is the total moment of inertia as the turntable spins? Ignore the mass of the turntable.

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Question 17

An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth,frictionless wall.If the ladder has a mass of 20 kg and it makes an angle of 60° with the ground,find the force of friction of the ground on the foot of the ladder.

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Question 18

A baseball pitcher,loosening up his arm before a game,tosses a 0.15-kg ball using only the rotation of his forearm,0.32 m in length,to accelerate the ball.If the ball starts at rest and is released with a speed of 23 m/s in a time of 0.4 s,what is the average angular acceleration of the arm and ball?

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Question 19

A ceiling fan is turned on and reaches an angular speed of 60 rev/min in 30 s.It is then turned off and coasts to a stop in 60 s.In the one minute of rotation,through how many revolutions did the fan turn?

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Question 20

Showing 1 - 20 of 60

Exam 8: Rotational Equilibrium and Rotational Dynamics

A baseball pitcher loosens up his pitching arm.He tosses a 0.20-kg ball using only the rotation of his forearm,0.32 m in length,to accelerate the ball.What is the moment of inertia of the ball alone as it moves in a circular arc with a radius of 0.32 m?

A disk has a moment of inertia of 2.8 × 10−4 kg·m2 and rotates with an angular speed of 3.6 rad/sec.What net torque must be applied to bring it to rest within 3.9 s?

A bowling ball has a mass of 9.0 kg,a moment of inertia of 3.6 × 10−2 kg·m2,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 3 m/s,what is its angular speed?

Tasha has mass 25 kg and wants to use a 5.0-m board of mass 12 kg as a seesaw.Her friends are busy,so Tasha seesaws by herself by putting the support at the system's center of gravity when she sits on one end of the board.How far is she from the support point?

A fan blade,initially at rest,rotates with a constant acceleration of 0.016 rad/s2.What is its angular speed at the instant it goes through an angular displacement of 10 rad?

A 0.40-m radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s2 over a 6.0-s interval?

An 700-N billboard worker stands on a 5.0-m scaffold weighing 500 N and supported by vertical ropes at each end.How far would the worker stand from one of the supporting ropes to produce a tension of 780 N in that rope?

A Ferris wheel starts at rest and builds up to a final angular speed of 0.60 rad/s while rotating through an angular displacement of 2.5 rad.What is its average angular acceleration?

A uniform bridge span weighs 80.0 × 103 N and is 30.0 m long.An automobile weighing 12.0 × 103 N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

A solid sphere of radius R is placed on an incline that makes an angle With the horizontal.The sphere rolls down the incline without slipping.What is its acceleration?

A bucket filled with water has a mass of 24 kg and is attached to a rope,which in turn,is wound around a 0.070-m radius cylinder at the top of a well.What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.8 m/s2)

Two hoops or rings (I = MR2)are centered,lying on a turntable.The smaller ring has radius = 0.05 m;the larger has radius = 0.1 m.Both have a mass of 6.0 kg.What is the total moment of inertia as the turntable spins? Ignore the mass of the turntable.

An 80-kg man is one fourth of the way up a 10-m ladder that is resting against a smooth,frictionless wall.If the ladder has a mass of 20 kg and it makes an angle of 60° with the ground,find the force of friction of the ground on the foot of the ladder.

A ceiling fan is turned on and reaches an angular speed of 60 rev/min in 30 s.It is then turned off and coasts to a stop in 60 s.In the one minute of rotation,through how many revolutions did the fan turn?

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 disk has a moment of inertia of 2.8 × 10−⁴ kg·m² and rotates with an angular speed of 3.6 rad/sec.What net torque must be applied to bring it to rest within 3.9 s?

A bowling ball has a mass of 9.0 kg,a moment of inertia of 3.6 × 10−² kg·m²,and a radius of 0.10 m.If it rolls down the lane without slipping at a linear speed of 3 m/s,what is its angular speed?

A fan blade,initially at rest,rotates with a constant acceleration of 0.016 rad/s².What is its angular speed at the instant it goes through an angular displacement of 10 rad?

A 0.40-m radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s² over a 6.0-s interval?

A uniform bridge span weighs 80.0 × 10³ N and is 30.0 m long.An automobile weighing 12.0 × 10³ N is parked with its center of gravity located 12.0 m from the right pier.What upward support force does the right pier provide?

A bucket filled with water has a mass of 24 kg and is attached to a rope,which in turn,is wound around a 0.070-m radius cylinder at the top of a well.What torque does the weight of water and bucket produce on the cylinder if the cylinder is not permitted to rotate? (g = 9.8 m/s²)

Two hoops or rings (I = MR²)are centered,lying on a turntable.The smaller ring has radius = 0.05 m;the larger has radius = 0.1 m.Both have a mass of 6.0 kg.What is the total moment of inertia as the turntable spins? Ignore the mass of the turntable.