The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown.  Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation. Choose the correct answer: a) 2.500 rad/s b) 1.737 rad/s c) 2.088 rad/s d) 2.252 rad/s e) 1.642 rad/s

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter27: Quantum Theory
Section: Chapter Questions
Problem 76A
icon
Related questions
Question

The thin, homogeneous, circular disk B rotates about a fixed, frictionless axis O, located at its centre, with an angular velocity of ω = 2.5 rad/s (clockwise). Object Alands on the disk at the indicated position where θ = 53o, with an absolute velocity of 1.8 m/s at an angle of ψ = 25o as shown.  Determine the angular speed of disk Bimmediately after object A has landed and rotates with B. Take the mass of the object as mA = 5 kg and the radius of gyration about an axis passing perpendicularly through its centre of gravity as kG = 0.18 m. The mass of disk B is mB = 14 kg and its radius is R = 1.7 m. Initially object A is a distance of r = 1.1 m from the axis of rotation.

Choose the correct answer:

a) 2.500 rad/s
b) 1.737 rad/s
c) 2.088 rad/s
d) 2.252 rad/s
e) 1.642 rad/s
V
A
В
R
Transcribed Image Text:V A В R
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Central force
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill