TE26% 10:56 AMA bucket (m 4.0 kg ) is falling down to a 25 meter deep well as shown in the figure. The cylindricaldrum has a mass of 28 kg and radius of 15 cm777733. find the tension in the rope, T = ?25 m34. find the linear acceleration of the descending bucket35. find the angular acceleration of the descending bucket.36. find the final angular velocity of the cylinder when the bucket touches the bottom of the well

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Asked Nov 21, 2019
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33-36

TE26% 10:56 AM
A bucket (m 4.0 kg ) is falling down to a 25 meter deep well as shown in the figure. The cylindrical
drum has a mass of 28 kg and radius of 15 cm
7777
33. find the tension in the rope, T = ?
25 m
34. find the linear acceleration of the descending bucket
35. find the angular acceleration of the descending bucket.
36. find the final angular velocity of the cylinder when the bucket touches the bottom of the well
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TE26% 10:56 AM A bucket (m 4.0 kg ) is falling down to a 25 meter deep well as shown in the figure. The cylindrical drum has a mass of 28 kg and radius of 15 cm 7777 33. find the tension in the rope, T = ? 25 m 34. find the linear acceleration of the descending bucket 35. find the angular acceleration of the descending bucket. 36. find the final angular velocity of the cylinder when the bucket touches the bottom of the well

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Expert Answer

Step 1

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If you want remaining sub-parts to be solved, then please resubmit the whole question and specify those sub-parts you want us to solve.

Given information:

m 4 kg
М - 28 kg
d 25 m
R 15 cm
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m 4 kg М - 28 kg d 25 m R 15 cm

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Step 2

Here, m and M are the mass of bucket and drum respectively.

d is the depth of the well and R is the radius of the drum.

(33) Consider the FBD’s in the below diagram.

bucket FBD 1 um
FBD of
R
T
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bucket FBD 1 um FBD of R T

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Step 3

Use the FBD of the drum and notice that the tension in the string rotate the drum with angular acceleration α and the MOI of the cylindrical drum is d...

MR2
TR =
2
а
Ма
Т-
2
.....(1)
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MR2 TR = 2 а Ма Т- 2 .....(1)

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