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- Thread starter haha1234
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Andrew Mason

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You have the right idea. But you have not taken into account the fact that the mug is moving during this process. So how far does the table cloth have to move?## Homework Statement

## Homework Equations

## The Attempt at a Solution

The photo shows below is my attempted solution.

Is there any mistake so I cannot get the correct answer?

AM

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I still cannot figure out the right answer

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Please answer the following questions:

1) What is the acceleration of the mug ?

2) What is the relative acceleration of the cloth with respect to the mug?

3) How much time does it take to pull the cloth completely out from under the mug?

- #5

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(1)I don't know if it is correct.

Please answer the following questions:

1) What is the acceleration of the mug ?

2) What is the relative acceleration of the cloth with respect to the mug?

3) How much time does it take to pull the cloth completely out from under the mug?

I found the acceleration of the mug is f=maâ†’0.1=0.2aâ†’0.5ms^-1

(2)3-0.5?

(3)I don't know.

- #6

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(1)I don't know if it is correct.

I found the acceleration of the mug is f=maâ†’0.1=0.2aâ†’0.5ms^-1

Correct...except the units are ms

(2)3-0.5?

Correct...So the relative acceleration is 2.5ms

Okay...First answer this - What is the distance cloth has to move with respect to the mug so that the cloth is completely out ? (Read the question carefully ,you may get the answer in question itself )(3)I don't know.

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- #7

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Correct...except the units are ms^{-2}

Correct...So the relative acceleration is 2.5ms^{-2}

Okay...First answer this - What is the distance cloth has to move with respect to the mug so that the cloth is completely out ? (Read the question carefully ,you may get the answer in question itself )

I don't know.

I still cannot understand and still think that the solution is as follow.- -"

0.3=0.5(3)t^2

T=0.447s

s=ut+0.5at^2

=0.5X0.5X0.447^2

=0.05m

However the correct answer is 0.06m

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- #8

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0.3m?

Correct...

So the cloth has to move .3m

Now use the kinematics equation x=ut+(1/2)at

This will give you the value of 't' i.e time it takes to pull the cloth completely out from under the mug .

What do you get ? Let the answer be in square root only.

- #9

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Thank you!Correct...

So the cloth has to move .3mwith respect to the mugsuch that it is completely out.Therelative accelerationof the cloth is 2.5ms^{-2}.

Now use the kinematics equation x=ut+(1/2)at^{2},where u=0 ,x=0.3m and a=2.5ms^{-2}.

This will give you the value of 't' i.e time it takes to pull the cloth completely out from under the mug .

What do you get ? Let the answer be in square root only.

I can get the correct answer now.:rofl:

- #10

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Thank you!

I can get the correct answer now.:rofl:

:thumbs:

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