College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 7, Problem 69AP
A piece of mud is initially at point A on the rim of a bicycle wheel of radius R rotating clockwise about a horizontal axis at a constant angular speed ω (Fig. P7.8). The mud dislodges from point A when the wheel diameter through A is horizontal. The mud then rises vertically and returns to point A. (a) Find a symbolic expression in terms of R, ω, and g for the total time the mud is in the air and returns to point .A. (b) If the wheel makes one complete resolution in the time it takes the mud to return to point A, Find an expression for the angular speed of the bicycle wheel ω in terms of π, g, and R.
Figure P7.8 Problems 8 and 69.
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Chapter 7 Solutions
College Physics
Ch. 7.1 - A rigid body is rotating counterclockwise about a...Ch. 7.1 - Suppose the change in angular position for each of...Ch. 7.2 - Consider again the pairs of angular positions for...Ch. 7.3 - Andrea and Chuck are riding on a merry-go-round....Ch. 7.3 - When the merry-go-round of Quick Quiz 7.4 is...Ch. 7.4 - A racetrack is constructed such that two arcs of...Ch. 7.4 - An object moves in a circular path with constant...Ch. 7.5 - A ball is falling toward the ground. Which of the...Ch. 7.5 - A planet has two moons with identical mass. Moon 1...Ch. 7.6 - Suppose an asteroid has a semimajor axis of 4 AU....
Ch. 7 - Math Review A circular track has a radius of 125...Ch. 7 - Math Review (a) Convert 47.0 to radians, using the...Ch. 7 - (a) Convert 12.0 rev/min to radians per second....Ch. 7 - A carnival carousel accelerates nonuniformly from...Ch. 7 - Prob. 5WUECh. 7 - A grindstone increases in angular speed uniformly...Ch. 7 - A bicyclist starting at rest produces a constant...Ch. 7 - A car of mass 1 230 kg travels along a circular...Ch. 7 - A man whirls a 0.20-kg piece of lead attached to...Ch. 7 - (a) Find the magnitude of the gravity force...Ch. 7 - What is the gravitational acceleration close to...Ch. 7 - Prob. 12WUECh. 7 - Prob. 13WUECh. 7 - Prob. 14WUECh. 7 - A comet has a period of 76.3 years and moves in an...Ch. 7 - In a race like the Indianapolis 500, a driver...Ch. 7 - If someone told you that astronauts are weightless...Ch. 7 - If a cars wheels are replaced with wheels of...Ch. 7 - At night, you are farther away from the Sun than...Ch. 7 - A pendulum consists of a small object called a bob...Ch. 7 - Because of Earths rotation about its axis, you...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - Describe the path of a moving object in the event...Ch. 7 - A pail of water can be whirled in a vertical...Ch. 7 - Use Keplers second law to convince yourself that...Ch. 7 - Is it possible for a car to move in a circular...Ch. 7 - A child is practicing for a BMX race. His speed...Ch. 7 - An object executes circular motion with constant...Ch. 7 - Angular Speed and Angular Acceleration (a) Find...Ch. 7 - A wheel has a radius of 4.1 m. How far (path...Ch. 7 - The tires on a new compact car have a diameter of...Ch. 7 - A potters wheel moves uniformly from rest to an...Ch. 7 - A dentists drill starts from rest. After 3.20 s of...Ch. 7 - A centrifuge in a medical laboratory rotates at an...Ch. 7 - A machine part rotates at an angular speed of 0.06...Ch. 7 - A bicycle is turned upside down while its owner...Ch. 7 - The diameters of the main rotor and tail rotor of...Ch. 7 - The tub of a washer goes into its spin-dry cycle,...Ch. 7 - A car initially traveling at 29.0 m/s undergoes a...Ch. 7 - A 45.0-cm diameter disk rotates with a constant...Ch. 7 - A rotating wheel requires 3.00 s to rotate 37.0...Ch. 7 - An electric motor rotating a workshop grinding...Ch. 7 - A car initially traveling eastward turns north by...Ch. 7 - It has been suggested that rotating cylinders...Ch. 7 - (a) What is the tangential acceleration of a bug...Ch. 7 - An adventurous archeologist (m = 85.0 kg) tries to...Ch. 7 - One end of a cord is fixed and a small 0.500-kg...Ch. 7 - A coin rests 15.0 cm from the center of a...Ch. 7 - A 55.0-kg ice skater is moving at 4.00 m/s when...Ch. 7 - A 40.0-kg child swings in a swing supported by two...Ch. 7 - A certain light truck can go around a flat curve...Ch. 7 - A sample of blood is placed in a centrifuge of...Ch. 7 - A 50.0-kg child stands at the rim of a...Ch. 7 - A space habitat for a long space voyage consists...Ch. 7 - An air puck of mass m1 = 0.25 kg is tied to a...Ch. 7 - Prob. 28PCh. 7 - A woman places her briefcase on the backseat of...Ch. 7 - A pail of water is rotated in a vertical circle of...Ch. 7 - A 40.0-kg child takes a ride on a Ferris wheel...Ch. 7 - Prob. 32PCh. 7 - The average distance separating Earth and the Moon...Ch. 7 - A satellite has a mass of 100 kg and is Located at...Ch. 7 - A coordinate system (in meters) is constructed on...Ch. 7 - Prob. 36PCh. 7 - Objects with masses of 200. kg and 500. kg are...Ch. 7 - Use the data of Table 7.3 to find the point...Ch. 7 - Prob. 39PCh. 7 - Two objects attract each other with a...Ch. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - A satellite of Mars, called Phoebus, has an...Ch. 7 - Prob. 44PCh. 7 - Two satellites are in circular orbits around the...Ch. 7 - Additional Problems A synchronous satellite. which...Ch. 7 - (a) One of the moons of Jupiter, named Io, has an...Ch. 7 - Neutron stars are extremely dense objects that are...Ch. 7 - One method of pitching a softball is called the...Ch. 7 - A digital audio compact disc (CD) carries data...Ch. 7 - An athlete swings a 5.00-kg ball horizontally on...Ch. 7 - A car rounds a banked curve where the radius of...Ch. 7 - Prob. 53APCh. 7 - A 0.400-kg pendulum bob passes through the lowest...Ch. 7 - A car moves at speed v across a bridge made in the...Ch. 7 - Prob. 56APCh. 7 - Because of Earths rotation about its axis, a point...Ch. 7 - Prob. 58APCh. 7 - In Robert Heinleins The Moon Is a Harsh Mistress,...Ch. 7 - A roller coaster travels in a circular path, (a)...Ch. 7 - In a home laundry dryer, a cylindrical tub...Ch. 7 - A model airplane of mass 0.750 kg flies with a...Ch. 7 - A skier starts at rest at the top of a large...Ch. 7 - Casting of molten metal is important in many...Ch. 7 - Suppose a 1 800-kg car passes over a bump in a...Ch. 7 - A stuntman whose mass is 70 kg swings from the end...Ch. 7 - Prob. 67APCh. 7 - The pilot of an airplane executes a constant-speed...Ch. 7 - A piece of mud is initially at point A on the rim...Ch. 7 - A 0.275-kg object is swung in a vertical circular...Ch. 7 - A 4.0-kg object is attached to a vertical rod by...Ch. 7 - The maximum lift force on a bat is proportional to...Ch. 7 - (a) A luggage carousel at an airport has the form...Ch. 7 - A 0.50-kg ball that is tied to the end of a 1.5-m...Ch. 7 - In a popular amusement park ride, a rotating...Ch. 7 - A massless spring of constant k = 78.4 N/m is...
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