a top with radius 10cm, mass 2 kg has a string around the edge and is initially at rest. assume the top can be reasonably approximated as a solid cylinder. the top is held in place as the string is pulled. the string applies a force of 10N tangential to the edge for 2s.what is the angular velocity (in radians per second) of the top after 3 seconds?what is the angular momentum of the top after the string is pulled?after the string is pulled, the top is released. it travels away from its initial position at a linear velocity of 10m/s. what is the rotational velocity (in radians per s) at this top? assume no friction

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Asked Jun 12, 2019
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a top with radius 10cm, mass 2 kg has a string around the edge and is initially at rest. assume the top can be reasonably approximated as a solid cylinder. the top is held in place as the string is pulled. the string applies a force of 10N tangential to the edge for 2s.

what is the angular velocity (in radians per second) of the top after 3 seconds?

what is the angular momentum of the top after the string is pulled?

after the string is pulled, the top is released. it travels away from its initial position at a linear velocity of 10m/s. what is the rotational velocity (in radians per s) at this top? assume no friction

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Expert Answer

Step 1

Consider the figure and observe that, force by the string acts tangentially. Therefore, the angle between tangential force and radius of the cylindrical top is 90o.

10 m
F-10N
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10 m F-10N

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Step 2

The torque due to the string on the top is computed as follows.

T Fxr
T Frsin 90° Fr
T(10 N)(0.10 m)
T 1N.m
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T Fxr T Frsin 90° Fr T(10 N)(0.10 m) T 1N.m

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Step 3

As the top is told to be approximated as a solid cylinder. Therefore, ...

mr
I =
2
(2 kg )(0.10 m)
I =
2
I 0.01 kg m
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mr I = 2 (2 kg )(0.10 m) I = 2 I 0.01 kg m

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