1 Getting Started 2 One Dimensional Motion 3 Vectors 4 Two-and-three Dimensional Motion 5 Newton's Laws Of Motion 6 Applications Of Newton’s Laws Of Motion 7 Gravity 8 Conservation Of Energy 9 Energy In Nonisolated Systems 10 Systems Of Particles And Conservation Of Momentum 11 Collisions 12 Rotation I: Kinematics And Dynamics 13 Rotation Ii: A Conservation Approach 14 Static Equilibrium, Elasticity, And Fracture 15 Fluids 16 Oscillations 17 Traveling Waves 18 Superposition And Standing Waves 19 Temperature, Thermal Expansion And Gas Laws 20 Kinetic Theory Of Gases 21 Heat And The First Law Of Thermodynamics 22 Entropy And The Second Law Of Thermodynamics 23 Electric Forces 24 Electric Fields 25 Gauss’s Law 26 Electric Potential 27 Capacitors And Batteries 28 Current And Resistance 29 Direct Current (dc) Circuits 30 Magnetic Fields And Forces 31 Gauss’s Law For Magnetism And Ampère’s Law 32 Faraday’s Law Of Induction 33 Inductors And Ac Circuits 34 Maxwell’s Equations And Electromagnetic Waves 35 Diffraction And Interference 36 Applications Of The Wave Model 37 Reflection And Images Formed By Reflection 38 Refraction And Images Formed By Refraction 39 Relativity Chapter12: Rotation I: Kinematics And Dynamics
12.1 Rotation Versus Translation 12.2 Rotational Kinematics 12.3 Special Case Of Constant Angular Acceleration 12.4 The Connection Between Rotation And Circular Motion 12.5 Torque 12.6 Cross Product 12.7 Rotational Dynamics Chapter Questions Section: Chapter Questions
Problem 1PQ: Often, we model the Moon as a particle in a circular orbit around the Earth. The same side of the... Problem 2PQ: Suppose a satellite orbits the Earth such that it is well modeled as a particle. Draw a sketch of it... Problem 3PQ Problem 4PQ Problem 5PQ: A ceiling fan is rotating counterclockwise with a constant angular acceleration of rad/s2 about a... Problem 6PQ: As seen from above the Earths North Pole, the Moons orbit is counterclockwise. Use a coordinate... Problem 7PQ: A rotating objects angular position is given by (t) = (1.54t2 7.65t + 2.75) rad, where t is... Problem 8PQ: A rotating objects angular position is given by (t) = (1.54t2 7.65t + 2.75) rad, where t is... Problem 9PQ: Jupiter rotates about its axis once every 9 hours 55 minutes. a. What is Jupiter's angular speed of... Problem 10PQ Problem 11PQ Problem 12PQ Problem 13PQ Problem 14PQ Problem 15PQ Problem 16PQ: A disk rolls up an inclined plane as shown in Figure P12.16, reaches point A, stops there... Problem 17PQ: Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described... Problem 18PQ: A potters wheel rotating at 240 rev/min is switched off and rotates through 80.0 revolutions prior... Problem 19PQ: Friction in an old clock causes it to lose 1 minute per hour. Assume the angular acceleration is... Problem 20PQ: A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find... Problem 21PQ Problem 22PQ: Starting from rest, a wheel reaches an angular speed of 15.0 rad/s in 5.00 s. a. What is the... Problem 23PQ: A potters wheel is rotating with an angular velocity of =24.2k rad/s. The wheel is slowing down as... Problem 24PQ: The angular speed of a wheel is given by (t) = 72.5 rad/s + (9.34 rad /s2) t. a. Is the wheels... Problem 25PQ Problem 26PQ Problem 27PQ: An electric food processor comes with many attachments forblending and slicing food. Assume the... Problem 28PQ Problem 29PQ: A bicyclist is testing a new racing bike on a circular track ofradius 53.0 m. The bicyclist is able... Problem 30PQ Problem 31PQ: A disk is initially at rest. A penny is placed on it at a distance of 1.0 m from the rotation axis.... Problem 32PQ Problem 33PQ: Consider again the two wind turbines in Problem 32. a. At what point along the 40-m blade would the... Problem 34PQ: Consider again the two wind turbines in Problem 32. a. At what point along the 40-m blade would the... Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m... Problem 36PQ Problem 37PQ: A merry-go-round at a childrens park begins at rest and ispushed by a parent while a child holds... Problem 38PQ: A wheel rotating at a constant rate of 1850 rev/min has a diameter of 17.8 cm. a. What is the... Problem 39PQ: Why are doorknobs placed on the edge opposite the hinges? Problem 40PQ Problem 41PQ Problem 42PQ Problem 43PQ: A wheel of inner radius r1 = 15.0 cm and outer radius r2 = 35.0 cm shown in Figure P12.43 is free to... Problem 44PQ: A uniform plank 6.0 m long rests on two supports, 2.5 m apart (Fig. P12.44). The gravitational force... Problem 45PQ Problem 46PQ Problem 47PQ Problem 48PQ Problem 49PQ Problem 50PQ Problem 51PQ Problem 52PQ: Given a vector A=4.5+4.5j and a vector B=4.5+4.5j, determine the magnitude of the cross product of... Problem 53PQ: A square plate with sides 2.0 m in length can rotatearound an axle passingthrough its center of... Problem 54PQ Problem 55PQ: A disk with a radius of 4.5 m has a 100-N force applied to its outer edge at two different angles... Problem 56PQ: Disc jockeys (DJs) use a turntable in applying their trade, often using their hand to speed up or... Problem 57PQ Problem 58PQ Problem 59PQ: A wheel initially rotating at 85.0 rev/min decelerates at the constant rate of 3.50 rad/s2 when a... Problem 60PQ Problem 61PQ: A centrifuge used for training astronauts rotating at 0.810 rad/s is spun up to 1.81 rad/s with an... Problem 62PQ: Problems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its... Problem 63PQ Problem 64PQ: A potters wheel rotates with an angular acceleration = 4at3 3bt2, where t is the time in seconds, a... Problem 65PQ Problem 66PQ Problem 67PQ Problem 68PQ: Lara is running just outside the circumference of a carousel, looking for her favorite horse to... Problem 69PQ: The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is... Problem 70PQ: A ball rolls to the left along a horizontal surface, up the slope, and then continues along a... Problem 71PQ: Three forces are exerted on the disk shown in Figure P12.71,and their magnitudes are F3 = 2F2 = 2F1.... Problem 72PQ: Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the... Problem 73PQ Problem 74PQ Problem 75PQ Problem 76PQ Problem 77PQ Problem 78PQ Problem 79PQ Problem 80PQ Problem 81PQ: If the rod in Problem 79 is in equilibrium, what is the tensionin the rope at the instant shown? Problem 82PQ: As a compact disc (CD) spins clockwise as seen from above,information is read from it, starting with... Problem 83PQ: A disk-shaped machine part has a diameter of 40.0 cm. Its angular position is given by... Problem 84PQ Problem 24PQ: The angular speed of a wheel is given by (t) = 72.5 rad/s + (9.34 rad /s2) t. a. Is the wheels...
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A brake pad applied on a 10kg wheel of radius 1m resulted to a negative angular acceleration of -45 rad/s2 . What is the magnitude of the frictional force between the wheel and the brake pad? Consider the wheel as a solid disc.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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