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Imagine a situation in which the horizontal surface of block M0 is smooth and its vertical surface is rough with a coefficient of friction m
                
Identify the correct statement(s)
  • a)
     If F=0, the blocks cannot remain stationary
  • b)
    For one unique value of F, the blocks M and m remain stationary with respect to M0
  • c)
    The limiting friction between m and M0 is independent of F
  • d)
     There exist a value of F at which friction force is equal to zero.
Correct answer is option 'A,D'. Can you explain this answer?
Verified Answer
Imagine a situation in which the horizontal surface of block M0is smoo...
If no force is applied, the block A will slip on C towards right and the block B will move downward. Suppose the minimum force needed to prevent slipping is F, taking A+B+C as the system, the only external horizontal force on the system is F. Hence the acceleration of the system is
a = F/2m+M
take block A as the system. The force on A are
 1) Tension T by the string towards right
 2) Friction f by the block C towards left
 3) Weight mg downward and
 4) Normal force N upward.
For vertical equilibrium N = mg.
As the minimum force needed to prevent slipping is applied, the friction is limiting thus
f = μN = μmg
As the block moves towards right with an acceleration a,
T –f = ma
Or T - μmg = ma                                                               ----------------- (2)
Now take the block B as the system the forces are as shown in fig (b).      
 1) Tension T upward.
 2) Weight mg downward
 3) Normal force N1 towards right
 4) Friction f1 upward.
As the block moves towards right with an acceleration a, N = ma.
As the friction is limiting, f1= μN’ = μma
For vertical equilibrium
T + f1 = mg
T + μma = mg 
Eliminating T from (1) and (3)
amin = (1- μ)*g/(1+ μ)
When a large force is applied the block A slips on C-towards left and the block B slips on C in the upward direction. The friction on A is towards right and that on B is downwards solving as above, the acceleration in this case is
Thus, the force should be between
(1- μ)(M+2m)*g/(1+ μ) and
(1+ μ)(M+2m)*g/(1- μ)
 
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Imagine a situation in which the horizontal surface of block M0is smooth and its vertical surface is rough with a coefficient of friction m Identify the correct statement(s)a)If F=0, the blocks cannot remain stationaryb)For one unique value of F, the blocks M and m remain stationary with respect to M0c)The limiting friction between m and M0is independent of Fd)There exist a value of F at which friction force is equal to zero.Correct answer is option 'A,D'. Can you explain this answer?
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Imagine a situation in which the horizontal surface of block M0is smooth and its vertical surface is rough with a coefficient of friction m Identify the correct statement(s)a)If F=0, the blocks cannot remain stationaryb)For one unique value of F, the blocks M and m remain stationary with respect to M0c)The limiting friction between m and M0is independent of Fd)There exist a value of F at which friction force is equal to zero.Correct answer is option 'A,D'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Imagine a situation in which the horizontal surface of block M0is smooth and its vertical surface is rough with a coefficient of friction m Identify the correct statement(s)a)If F=0, the blocks cannot remain stationaryb)For one unique value of F, the blocks M and m remain stationary with respect to M0c)The limiting friction between m and M0is independent of Fd)There exist a value of F at which friction force is equal to zero.Correct answer is option 'A,D'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Imagine a situation in which the horizontal surface of block M0is smooth and its vertical surface is rough with a coefficient of friction m Identify the correct statement(s)a)If F=0, the blocks cannot remain stationaryb)For one unique value of F, the blocks M and m remain stationary with respect to M0c)The limiting friction between m and M0is independent of Fd)There exist a value of F at which friction force is equal to zero.Correct answer is option 'A,D'. Can you explain this answer?.
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