College Physics 11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Raymond A. Serway, Chris Vuille
1 Units, Trigonometry. And Vectors 2 Motion In One Dimension 3 Motion In Two Dimensions 4 Newton's Laws Of Motion 5 Energy 6 Momentum, Impulse, And Collisions 7 Rotational Motion And Gravitation 8 Rotational Equilibrium And Dynamics 9 Fluids And Solids 10 Thermal Physics 11 Energy In Thermal Processes 12 The Laws Of Thermodynamics 13 Vibrations And Waves 14 Sound 15 Electric Forces And Fields 16 Electrical Energy And Capacitance 17 Current And Resistance 18 Direct-Current Circuits 19 Magnetism 20 Induced Voltages And Inductance 21 Alternating-Current Circuits And Electromagnetic Waves 22 Reflection And Refraction Of Light 23 Mirrors And Lenses 24 Wave Optics 25 Optical Instruments 26 Relativity 27 Quantum Physics 28 Atomic Physics 29 Nuclear Physics 30 Nuclear Energy And Elementary Particles Chapter7: Rotational Motion And Gravitation
7.1 Angular Velocity And Angular Acceleration 7.2 Rotational Motion Under Constant Angular Acceleration 7.3 Tangential Velocity, Tangential Acceleration, And Centripetal Acceleration 7.4 Newton's Second Law For Uniform Circular Motion 7.5 Newtonian Gravitation Chapter Questions Section: Chapter Questions
Problem 1CQ: A disk rotates about an axis through its center. Point A is located on its rim and point B is... Problem 2CQ: Suppose an alien civilization has a space station in circular orbit around its home planet. The... Problem 3CQ: If a cars wheels are replaced with wheels of greater diameter, will the reading of the speedometer... Problem 4CQ: Objects moving along a circular path have a centripetal acceleration provided by a net force... Problem 5CQ: A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with... Problem 6CQ: Because of Earths rotation about its axis, you weigh slightly less at the equator than at the poles.... Problem 7CQ: It has been suggested that rotating cylinders about 10 miles long and 5 miles in diameter he placed... Problem 8CQ: Describe the path of a moving object in the event that the objects acceleration is constant in... Problem 9CQ: A pail of water can be whirled in a vertical circular path such that no water is spilled. Why does... Problem 10CQ: A car of mass m follows a truck of mass 2m around a circular turn. Both vehicles move at speed v.... Problem 11CQ: Is it possible for a car to move in a circular path in such a way that it has a tangential... Problem 12CQ: A child is practicing for a BMX race. His speed remains constant as he goes counterclockwise around... Problem 13CQ: An object executes circular motion with constant speed whenever a net force of constant magnitude... Problem 1P: Convert (a) 47.0 to radians, (b) 12.0 rad to revolutions, and (c) 75.0 rpm to rad/s. Problem 2P: A bicycle tire is spinning clockwise at 2.50 rad/s. During a time period t = 1.25 s, the tire is... Problem 3P: The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a)... Problem 4P: A potters wheel moves uniformly from rest to an angular velocity of 1.00 rev/s in 30.0 s. (a) Find... Problem 5P: A dentists drill starts from rest. After 3.20 s of constant angular acceleration, it turns at a rate... Problem 6P: A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched... Problem 7P: A bicyclist starting at rest produces a constant angular acceleration of 1.60 rad/s2 for wheels that... Problem 8P: A bicycle is turned upside down while its owner repairs a flat tire. A friend spins the other wheel... Problem 9P: The diameters of the main rotor and tail rotor of a single-engine helicopter are 7.60 m and 1.02 m,... Problem 10P: The tub of a washer goes into its spin-dry cycle, starting from rest and reaching an angular speed... Problem 11P: A car initially traveling at 29.0 m/s undergoes a constant negative acceleration of magnitude 1.75... Problem 12P: A 45.0-cm diameter disk rotates with a constant angular acceleration of 2.50 rad/s2. It starts from... Problem 13P: A rotating wheel requires 3.00 s to rotate 37.0 revolutions. Its angular velocity at the end of the... Problem 14P: An electric motor rotating a workshop grinding wheel at a rate of 1.00 102 rev/min is switched off.... Problem 15P: A car initially traveling eastward turns north by traveling in a circular path at uniform speed as... Problem 16P: It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in... Problem 17P: (a) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk... Problem 18P: An adventurous archeologist (m = 85.0 kg) tries to cross a river by swinging from a vine. The vine... Problem 19P: One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings... Problem 20P: Human centrifuges are used to train military pilots and astronauts in preparation for high-g... Problem 21P: A 55.0-kg ice skater is moving at 4.00 m/s when she grabs the loose end of a rope, the opposite end... Problem 22P: A 40.0-kg child swings in a swing supported by two chains, each 3.00 m long. The tension in each... Problem 23P: A certain light truck can go around a flat curve having a radius of 150 m with a maximum speed of... Problem 24P: A sample of blood is placed in a centrifuge of radius 15.0 cm. The mass of a red blood cell is 3.0 ... Problem 25P: A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular... Problem 26P: A space habitat for a long space voyage consists of two cabins each connected by a cable to a... Problem 27P: An air puck of mass m1 = 0.25 kg is tied to a siring and allowed to revolve in a circle of radius R... Problem 28P: A snowboarder drops from rest into a halfpipe of radius R and slides down its frictionless surface... Problem 29P: A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates... Problem 30P: A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act... Problem 31P: A 40.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a... Problem 32P Problem 33P: (a) Find the magnitude of the gravitational force between a planet with mass 7.50 1024 kg and its... Problem 34P: The International Space Station has a mass of 4.19 105 kg and orbits at a radius of 6.79 106 m... Problem 35P: A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are... Problem 36P Problem 37P: Objects with masses of 200. kg and 500. kg are separated by 0.400 m. (a) Find the net gravitational... Problem 38P: Use the data of Table 7.3 to find the point between Earth and the Sun at which an object can be... Problem 39P Problem 40P: Two objects attract each other with a gravitational force of magnitude 1.00 108 N when separated by... Problem 41P Problem 42P Problem 43P: A satellite of Mars, called Phoebus, has an orbital radius of 9.4 106 m and a period of 2.8 104 s.... Problem 44P Problem 45P: A comet has a period of 76.3 years and moves in an elliptical orbit in which its perihelion (Closest... Problem 46AP: Additional Problems A synchronous satellite. which always remains above the same point on a planet's... Problem 47AP: (a) One of the moons of Jupiter, named Io, has an orbital radius of 4.22 108 m and a period of 1.77... Problem 48AP: Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions.... Problem 49AP: One method of pitching a softball is called the wind-mill delivery method, in which the pitchers arm... Problem 50AP: A digital audio compact disc (CD) carries data along a continuous spiral track from the inner... Problem 51AP: An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of... Problem 52AP: The dung beetle is known as one of the strongest animals for its size, often forming balls of dung... Problem 53AP Problem 54AP: A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What... Problem 55AP: A car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an... Problem 56AP: Keratinocytes are the most common cells in the skins outer layer. As these approximately circular... Problem 57AP: Because of Earths rotation about its axis, a point on the equator has a centripetal acceleration of... Problem 58AP: A roller coaster travels in a circular path, (a) Identify the forces on a passenger at the top of... Problem 59AP: In Robert Heinleins The Moon Is a Harsh Mistress, the colonial inhabitants of the Moon threaten to... Problem 60AP: A model airplane of mass 0.750 kg flies with a speed of 35.0 m/s in a horizontal circle at the end... Problem 61AP: In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a... Problem 62AP: Casting of molten metal is important in many industrial processes. Centrifugal casting is used for... Problem 63AP: A skier starts at rest at the top of a large hemispherical hill (Fig. P7.63). Neglecting friction,... Problem 64AP: A stuntman whose mass is 70 kg swings from the end of a 4.0-m-long rope along the arc of a vertical... Problem 65AP: Suppose a 1 800-kg car passes over a bump in a roadway that follows the arc of a circle of radius... Problem 66AP: The pilot of an airplane executes a constant-speed loop-the-loop maneuver in a vertical circle as in... Problem 67AP Problem 68AP: A coin rests 15.0 cm from the center of a turntable. The coefficient of static friction between the... Problem 69AP: A 4.0-kg object is attached to a vertical rod by two strings as shown in Figure P7.69. The object... Problem 70AP: A 0.275-kg object is swung in a vertical circular path on a string 0.850 m long as in Figure P7.70.... Problem 71AP: (a) A luggage carousel at an airport has the form of a section of a large cone, steadily rotating... Problem 72AP: The maximum lift force on a bat is proportional to the square of its flying speed v. For the hoary... Problem 73AP: In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an... Problem 74AP: A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of... Problem 75AP: A 0.50-kg ball that is tied to the end of a 1.5-m light cord is revolved in a horizontal plane, with... Problem 69AP: A 4.0-kg object is attached to a vertical rod by two strings as shown in Figure P7.69. The object...
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Concept explainers
Do only part B. After finding the gravitational torque, please also find the angular acceleration in part B.
Transcribed Image Text: 34. ||| The 2.0-m-long, 15 kg beam in Figure P7.34 O is hinged at its left end. It is "falling" (rotating
clockwise, under the influence of gravity), and the figure shows its position at three different times.
What is the gravitational torque on the beam about an axis through the hinged end when the beam is
at the
Figure P7.34
2.0 m
20°
45°
a. Upper position?
b. Middle position?
c. Lower position?
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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