In the shown figure, the pulley of mass M and
radius R can rotate about its fixed horizontal
axis (axle) without friction. Friction between
light inextensible string and pulley is sufficient
to prevent slipping of string over pulley. The
masses of blocks are m, and m, such that m2
> m,. The system is initially released from rest
as shown. Before the block of mass m,
touches the pulley, pick up the correct
statement(s).
Answers
The correct statements are:
Magnitude of force exerted by string on mass m2 is larger as compared to that exerted by string on mass m1.
The acceleration of small length dl of string in contact with block of mass m2 remains constant.
Given: The pulley of mass M and radius R can rotate about its fixed horizontal friction between light inextensible string and pulley is sufficient to prevent slipping of string over pulley. The masses of blocks are m, and m, such that m2 > m1. The system is initially released from rest.
To find : We need to find the correct statement(s).
Solution:
The acceleration of small length dl of string in contact with block of mass m2 remains constant.
Hence, for the section of rope in contact with the pulley, acceleration increases till the section loses contact with pulley.
Due to friction between string and pulley, the tension in right portion of string is larger in comparison to tension in the left portion of string.
Hence, the correct answers are: Magnitude of force exerted by string on mass m2 is larger as compared to that exerted by string on mass m1.
The acceleration of small length dℓ of string in contact with block of mass m2 remains constant.
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