Pr5. A yo-yo is a toy consisting of an axle of radius r connected to two disks of radius R, and a thread looped around the axle. The end of the thread is fixed to the ceiling and the yo-yo rolls down so that the axis moves along a vertical line. (The thread does not slip on the axle.) R. a) Find the velocity of point P indicated in the figure in the moment when the axis of the yo-yo moves with velocity v. Express your answer in terms of r, R and v. b) Find the radius of curvature of the trajectory of point P in the moment shown in the figure. Give your answer in terms of r and R.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Pr5. A yo-yo is a toy consisting of an axle of radius r connected
to two disks of radius R, and a thread looped around the axle. The
end of the thread is fixed to the ceiling and the yo-yo rolls down
so that the axis moves along a vertical line. (The thread does not
slip on the axle.)
R.
a) Find the velocity of point P indicated in the figure in the
moment when the axis of the yo-yo moves with velocity v. Express
your answer in terms of r, R and v.
b) Find the radius of curvature of the trajectory of point P in
the moment shown in the figure. Give your answer in terms of r
and R.
Transcribed Image Text:Pr5. A yo-yo is a toy consisting of an axle of radius r connected to two disks of radius R, and a thread looped around the axle. The end of the thread is fixed to the ceiling and the yo-yo rolls down so that the axis moves along a vertical line. (The thread does not slip on the axle.) R. a) Find the velocity of point P indicated in the figure in the moment when the axis of the yo-yo moves with velocity v. Express your answer in terms of r, R and v. b) Find the radius of curvature of the trajectory of point P in the moment shown in the figure. Give your answer in terms of r and R.
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