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Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible?
                             
  • a)
    The lighter man is stationary while the heavier man slides with some acceleration
  • b)
    The heavier man is stationary while the lighter man climbs with some acceleration
  • c)
    The two men slide with the same acceleration in the same direction
  • d)
    The two men move with accelerations of the same magnitude in opposite directions
Correct answer is option 'A,B,D'. Can you explain this answer?
Verified Answer
Two men of unequal masses hold on to the two sections of a light rope ...

Here m2​>m1
If lighter man is stationary,
Vertical force on m1​
T−m1​g=0
 ⇒T=m1​g
Vertical force on m2
m2a=T−m2​g=m1​g−m2​g
a= ​m1/ m2 ​​g−g
since  ​m1/ m2​​<1, so in this case, a is negative. thus the heavier man of mass m2​ is sliding down.
If heavier man is stationary,
Vertical force on m2​=T−m2​g=0
⇒T=m2​g
Vertical force on m1​=m1​a=T−m1​g=m2​g−m1​g
a= ​m2/ m1 ​​g−g
since m2​>m1​ so in this case, a is positive . Thus the lighter man will climb up with some acceleration.
From the above two cases we can say that they will move with the same acceleration over the pulley but in the opposite direction.
Ans:(A),(B),(D)
 
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Most Upvoted Answer
Two men of unequal masses hold on to the two sections of a light rope ...
From the figure,the two men move with acceleration of the same magnitude in opposite directions.
Let m1​>m2​
T= tension in the rope
If m2​ is stationary then T=m2​g
Therefore m1​ must slide down with some acceleration.
If m1​ is stationary then T=m1​g
Therefore m2​ must slide up with some acceleration.
If m1​g>T>m2​g, m1​ can move down and m2​ can move up.
It is possible when heavier man will slide with some acceleration, the lighter man will remain stationary and also when the lighter man climbs with some acceleration, the heavier man is stationary because they have equal and opposite acceleration.
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Community Answer
Two men of unequal masses hold on to the two sections of a light rope ...

Here m2​>m1
If lighter man is stationary,
Vertical force on m1​
T−m1​g=0
 ⇒T=m1​g
Vertical force on m2
m2a=T−m2​g=m1​g−m2​g
a= ​m1/ m2 ​​g−g
since  ​m1/ m2​​<1, so in this case, a is negative. thus the heavier man of mass m2​ is sliding down.
If heavier man is stationary,
Vertical force on m2​=T−m2​g=0
⇒T=m2​g
Vertical force on m1​=m1​a=T−m1​g=m2​g−m1​g
a= ​m2/ m1 ​​g−g
since m2​>m1​ so in this case, a is positive . Thus the lighter man will climb up with some acceleration.
From the above two cases we can say that they will move with the same acceleration over the pulley but in the opposite direction.
Ans:(A),(B),(D)
 
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Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible? a)The lighter man is stationary while the heavier man slides with some accelerationb)The heavier man is stationary while the lighter man climbs with some accelerationc)The two men slide with the same acceleration in the same directiond)The two men move with accelerations of the same magnitude in opposite directionsCorrect answer is option 'A,B,D'. Can you explain this answer?
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Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible? a)The lighter man is stationary while the heavier man slides with some accelerationb)The heavier man is stationary while the lighter man climbs with some accelerationc)The two men slide with the same acceleration in the same directiond)The two men move with accelerations of the same magnitude in opposite directionsCorrect answer is option 'A,B,D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible? a)The lighter man is stationary while the heavier man slides with some accelerationb)The heavier man is stationary while the lighter man climbs with some accelerationc)The two men slide with the same acceleration in the same directiond)The two men move with accelerations of the same magnitude in opposite directionsCorrect answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two men of unequal masses hold on to the two sections of a light rope passing over a smooth light pulley. Which of the following are possible? a)The lighter man is stationary while the heavier man slides with some accelerationb)The heavier man is stationary while the lighter man climbs with some accelerationc)The two men slide with the same acceleration in the same directiond)The two men move with accelerations of the same magnitude in opposite directionsCorrect answer is option 'A,B,D'. Can you explain this answer?.
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