1st Edition

ISBN: 9781630181871

Author: OpenStax, Ima Lyubkinskaya, Gregg Wolfe Douglas, Ingram, Liza Puiji, Sudhi Oberoi Nathan, Czuba

Publisher: OpenStax College.

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Chapter 10, Problem 45PE

Twin skaters approach one another as shown in Figure 10.39 and lock hands. (a) Calculate their final angular velocity, given each had an initial speed of 2.50 m/s relative to the ice. Each has a mass of 70.0 kg, and each has a center of mass located 0.800 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. (b) Compare the initial kinetic energy and final kinetic energy.

Chapter 10, Problem 45PE, Twin skaters approach one another as shown in Figure 10.39 and lock hands. (a) Calculate their final

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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Ch. 10 - Analogies exist between rotational and...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a Piece of food is on the edge of a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - Give an example in which anal forte exerts a large...Ch. 10 - While reducing the mass of a racing bike, the...Ch. 10 - A ball slides up a frictionless ramp. It is then...Ch. 10 - Describe the energy transformations involved when...

Ch. 10 - What energy transformations are involved when a...Ch. 10 - The Earth has more rotational kinetic energy now...Ch. 10 - When you start the engine of your car with the...Ch. 10 - Suppose a child walks from the outer edge of a...Ch. 10 - Suppose a child gets off a rotating...Ch. 10 - Helicopters have a small propeller on their tail...Ch. 10 - Whenever a helicopter has two sets of lifting...Ch. 10 - Describe how work is done by a skater pulling in...Ch. 10 - When there is a global heating trend on Earth, the...Ch. 10 - Nearly all conventional piston engines have...Ch. 10 - Jet turbines spin rapidly. They are designed to...Ch. 10 - An astronaut tightens a bolt on a satellite in...Ch. 10 - Competitive divers pull their limbs in and curl up...Ch. 10 - Draw a free body diagram to show how a diver gains...Ch. 10 - In terms of angular momentum, what is the...Ch. 10 - Describe different collisions—one in in which...Ch. 10 - Suppose an ice hockey puck strikes a hockey stick...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - Gyroscopes used in guidance systems to indicate...Ch. 10 - At its peak, a tornado is 60.0 m in diameter and...Ch. 10 - Integrated Concepts An ultracentrifuge accelerates...Ch. 10 - Integrated Concepts You have a grindstone (a disk)...Ch. 10 - Unreasonable Results You are told that a...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust finds itself on a CD. If...Ch. 10 - A gyroscope slows from an initial rate of 32.0...Ch. 10 - During a very quick stop, a car decelerates at...Ch. 10 - Everyday application: Suppose a yo-yo has a center...Ch. 10 - This problem considers additional aspects of...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - The triceps muscle in the back of the upper arm...Ch. 10 - A soccer player extends her lower leg in a kicking...Ch. 10 - Suppose you exert a force of 180 N tangential to a...Ch. 10 - Consider the 12.0 kg motorcycle wheel shown in...Ch. 10 - Zorch, an archenemy of Superman, decides to slow...Ch. 10 - An automobile engine can produce 200 N m of...Ch. 10 - Starting with the formula for the moment of...Ch. 10 - Unreasonable Results A gymnast doing a forward...Ch. 10 - Unreasonable Results An advertisement claims that...Ch. 10 - This problem considers energy and work aspects of...Ch. 10 - What is the final velocity of a hoop that rolls...Ch. 10 - (a) Calculate the rotational kinetic energy of...Ch. 10 - Calculate the rotational kinetic energy in the...Ch. 10 - A baseball pitcher throws the ball in a motion...Ch. 10 - While punting a football, a kicker rotates his leg...Ch. 10 - A bus contains a 1500 kg flywheel (a disk that has...Ch. 10 - A ball with an initial velocity of 8.00 m/s rolls...Ch. 10 - While exercising in a fitness center, a man lies...Ch. 10 - To develop muscle tone, a woman lifts a 2.00-kg...Ch. 10 - Consider two cylinders that start down identical...Ch. 10 - What is the moment of inertia of an object that...Ch. 10 - Suppose a 200-kg motorcycle has two wheels like,...Ch. 10 - In softball, the pitcher throws with the arm fully...Ch. 10 - Construct Your Own Problem Consider the work done...Ch. 10 - (a) Calculate the angular momentum of the Earth in...Ch. 10 - (a) What is the angular momentum of the Moon in...Ch. 10 - Suppose you start an antique car by exerting a...Ch. 10 - A playground merry-go-round has a mass of 120 kg...Ch. 10 - Three children are riding on the edge of a...Ch. 10 - (a) Calculate the angular momentum of an ice...Ch. 10 - Consider the Earth-Moon system. Construct a...Ch. 10 - Repeat Example 10.15 in which the disk strikes and...Ch. 10 - Repeat Example 10.15 in which the disk originally...Ch. 10 - Twin skaters approach one another as shown in...Ch. 10 - Suppose a 0.250-kg ball is thrown at 15.0 m/s to a...Ch. 10 - Repeat Example 10.15 in which the stick is free to...Ch. 10 - Integrated Concepts The axis of Earth makes a...

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