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two identical pulley systems are given. the first one has an object of mass 'm' tied to one end of an inextensible string and another object of mass '2m' tied to the other end. the second pulley has the same object of mass 'm' on one side and on the other side, a force of magnitude '2mg' ('g' is acceleration due to gravity) is applied. WILL THE TWO PULLEY SYSTEMS HAVE THE SAME VELOCITY ???

two identical pulley systems are given.


the first one has an object of mass 'm' tied to one end of an inextensible string and another object of mass '2m' tied to the other end.


the second pulley has the same object of mass 'm' on one side and on the other side, a force of magnitude '2mg' ('g' is acceleration due to gravity) is applied. 


WILL THE TWO PULLEY SYSTEMS HAVE THE SAME VELOCITY ???

Grade:12th pass

3 Answers

rashmi hegde
14 Points
10 years ago

yes. the force acting in both the cases is the same in downward direction

Godfrey Classic Prince
633 Points
10 years ago

Dear joseph shoby,

Why yes ofcourse !!!

They both will have the same velocity in the downward direction !!!

 

Hope this helped you immensely...

All the Very Best & Good Luck to you ...

Regards,

AskIITians Expert,

Godfrey Classic Prince

IIT-M

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Ashwin Muralidharan IIT Madras
290 Points
10 years ago

Hi Joseph,

 

From the FBD in the two cases

 

In the first case, the acn of the mass on the left is a = g/3

 

In the second case, the acn of the mass on the left would be a=g.

 

As the acceleratrions are different in the two cases for this two systems, their velocities would not be the same.

 

Best Regards,

Ashwin (IIT Madras).

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