A 10 {kg} block {B} rests on smooth rollers of negligible mass and is in contact with a 2.0 {kg} solid cylinder of the radius 0.1 {m} as shown. The rollers ensure that there is no friction between {B} and the ground {A} below {B}. It is know that \\mu_{k}=\\mu_{s}=0.5 between {B} and {C} as well as between {C} and ground {A}. Find the magnitude of the horizontal force P (in N ) for which the cylinder will roll with an angular acceleration of 20 {rad} \/ {s}^{2} on ground A without slipping. Fill \frac{P}{16} on OMR sheet.

JEE Advanced 2021 Full Test 5 Paper 1

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 10kg block B rests on smooth rollers of negligible mass and is in contact with a 2.0kg solid cylinder of the radius 0.1m as shown. The rollers ensure that there is no friction between B and the ground A below B. It is know that µk=µs=0.5 between B and C as well as between C and ground A. Find the magnitude of the horizontal force P (in N ) for which the cylinder will roll with an angular acceleration of 20rad∕s2 on ground A without slipping. Fill

on OMR sheet.

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