A 0.20 kg yo-yo consists of two solid disks of radius 7.30 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released.(a) Find the acceleration of the yo-yo. (solved).35 m/s2(b) Find the tension T. (unsolved)

Question
Asked Nov 6, 2019
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A 0.20 kg yo-yo consists of two solid disks of radius 7.30 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released.

(a) Find the acceleration of the yo-yo. (solved)
.35 m/s2

(b) Find the tension T. (unsolved)
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Expert Answer

Step 1

a)

Consider a yo-yo with 2 solid discs of mass 0.2kg each and radius 7.3cm connected through a  mass less rod of radius 1cm. Write the equation for moment of inertia of discs.

-mR
I 2
=mR2
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-mR I 2 =mR2

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Step 2

Write the equation for torque and rearrange to get tension on the rod

T Tr Ia
Hereristheradius of therod and ais the angular acceleration of the yo yo
Ia
T=
mR2\a
Т-
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T Tr Ia Hereristheradius of therod and ais the angular acceleration of the yo yo Ia T= mR2\a Т-

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Step 3

Write the equation for net...

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Science

Physics

Rotational Mechanics

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