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 torque the string applies to the top?what is the moment of inertia of the top?what is the angular acceleration (in radians per s^2) of the top?

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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 torque the string applies to the top?

what is the moment of inertia of the top?

what is the angular acceleration (in radians per s^2) of the top?

 

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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.

 

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10 am F10N

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Step 2

Here, r is the radius of the cylinder, m is its mass, F is the horizontal force that string applies on the top in tangential direction.

The following data is provided to us in the question.

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1m r 10 cm =0.10 m 100 cm m 2 kg F =10 N

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Step 3

(a) The torque due to the string on t...

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T Frsin 90 = Fr T(10 N)(0.10 m) T 1 N m

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