Explanation Given: Disk D is defined by x 2 + y 2 ≤ R 2 (meters), with total mass M k .g and rotate the disk about x − axis with angular velocity 10 rad/sec Key points: Moment of Inertia is the sum of the products of the mass of the each particle in the body with the square of distance from the axis of rotation I = ∑ i M i R i 2 . Calculation: Disk D is defined by x 2 + y 2 ≤ R 2 (meters)with total mass M k .g ⇒ radius R Area= π R 2 density= mass area ⇒ σ = M π R 2 Consider mass of the small element d m σ = d m d ( π r 2 ) ⇒ d m = σ ( 2 π r d r ) = M π R 2 To determine b) To calculate: How much kinetic energy is required to rotate the disk about x − axis ?

4th Edition

ISBN: 9781319323394

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 16.5, Problem 43E

To determine

a)

To calculate:The moment of inertia $I_{x}$ of the disk $D$ .

To determine

b)

To calculate:

How much kinetic energy is required to rotate the disk about $x - axis$ ?

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Chapter 16.5, Problem 42E

Chapter 16.5, Problem 44E

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Chapter 16 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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Prob. 19E Ch. 16.3 - Prob. 20E Ch. 16.3 - Prob. 21E Ch. 16.3 - Prob. 22E Ch. 16.3 - Prob. 23E Ch. 16.3 - Prob. 24E Ch. 16.3 - Prob. 25E Ch. 16.3 - Prob. 26E Ch. 16.3 - Prob. 27E Ch. 16.3 - Prob. 28E Ch. 16.3 - Prob. 29E Ch. 16.3 - Prob. 30E Ch. 16.3 - Prob. 31E Ch. 16.3 - Prob. 32E Ch. 16.3 - Prob. 33E Ch. 16.3 - Prob. 34E Ch. 16.3 - Prob. 35E Ch. 16.3 - Prob. 36E Ch. 16.3 - Prob. 37E Ch. 16.3 - Prob. 38E Ch. 16.3 - Prob. 39E Ch. 16.3 - Prob. 40E Ch. 16.3 - Prob. 41E Ch. 16.3 - Prob. 42E Ch. 16.3 - Prob. 43E Ch. 16.3 - Prob. 44E Ch. 16.3 - Prob. 45E Ch. 16.3 - Prob. 46E Ch. 16.4 - Prob. 1PQ Ch. 16.4 - Prob. 2PQ Ch. 16.4 - Prob. 3PQ Ch. 16.4 - Prob. 4PQ Ch. 16.4 - Prob. 5PQ Ch. 16.4 - Prob. 1E Ch. 16.4 - Prob. 2E Ch. 16.4 - Prob. 3E Ch. 16.4 - Prob. 4E Ch. 16.4 - Prob. 5E Ch. 16.4 - Prob. 6E Ch. 16.4 - Prob. 7E Ch. 16.4 - Prob. 8E Ch. 16.4 - Prob. 9E Ch. 16.4 - Prob. 10E Ch. 16.4 - Prob. 11E Ch. 16.4 - Prob. 12E Ch. 16.4 - Prob. 13E Ch. 16.4 - Prob. 14E Ch. 16.4 - Prob. 15E Ch. 16.4 - Prob. 16E Ch. 16.4 - 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a) To calculate: The moment of inertia I x of the disk D .

Solution Summary: The author calculates the moment of inertia I x of the disk D.

Videos

a)

To calculate:The moment of inertia $I_{x}$ of the disk $D$ .

b)

To calculate:

How much kinetic energy is required to rotate the disk about $x - axis$ ?

Want to see the full answer?

Chapter 16 Solutions

a) To calculate: The moment of inertia I x of the disk D .

Solution Summary: The author calculates the moment of inertia I x of the disk D.

Videos

a) To calculate:The moment of inertia Ixof the disk D.

b) To calculate: How much kinetic energy is required to rotate the disk about x−axis?

Want to see the full answer?

Chapter 16 Solutions

a)

To calculate:The moment of inertia $I_{x}$ of the disk $D$ .

b)

To calculate:

How much kinetic energy is required to rotate the disk about $x - axis$ ?