A uniform circular plate of radius 2R has a circular hole of radius Rcut out of it. The center C' of the smaller circle is a distance 0.80R from the center C of the larger circle(Eigure 1). Part A What is the position of the center of mass of the plate? [Hint: Try subtraction.] Express your answer in terms of the variable R. V ΑΣφ. dCM from the center C of the larger Figure < 1 of 1 circle Submit Request Answer 2R Provide Feedback Next > 0.80R
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
![6 of 7
A uniform circular plate of radius 2R has a circular hole of
radius R cut out of it. The center C' of the smaller circle is
a distance 0.80R from the center C of the larger
circle(Figure 1).
Part A
What is the position of the center of mass of the plate? [Hint: Try subtraction.]
Express your answer in terms of the variable R.
V ΑΣφ
?
Figure
dCM
from the center C of the larger
circle
1 of 1
Submit
Request Answer
2R
Provide Feedback
Next >
C C
0.80R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd8e5259-2d24-47e7-aa3f-fba0ce0f06ef%2F0f310248-7768-4ee9-9dd2-a966ba613c08%2Fsi7wen_processed.jpeg&w=3840&q=75)
![Part A
Calculate the angular velocity of the Earth in its orbit around the Sun.
Express your answer using three significant figures.
四]?
Worbit=
rad/s
Submit
Request Answer
• Part B
Calculate the angular velocity of the Earth about its axis.
Express your answer using three significant figures.
AEO
Wrotation
rad/s
Submit
Request Answer](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd8e5259-2d24-47e7-aa3f-fba0ce0f06ef%2F0f310248-7768-4ee9-9dd2-a966ba613c08%2Fixd25yd_processed.jpeg&w=3840&q=75)
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