JEE Advanced 2021 Full Test 2 Paper 2

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SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the SECOND DECIMAL PLACE; e.g. XXXXX. XX).

Question : 15 of 54

Marks: +1, -0

A spool has the shape shown in figure. Radii of inner and outer cylinders are R and 2R respectively. Mass of the spool is 3m and its moment of inertia about the shown axis is 2mR2. Light threads are tightly wrapped on both the cylindrical parts. The spool is placed on a rough surface with two masses m1=m and m2=2m connected to the strings as shown. The string segment between spool and the pulleys P1 and P2 are horizontal. The centre of mass of the spool is at its geometrical centre. System is released from rest. What is minimum value of coefficient of friction between the spool and the table so that it does not slip?

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