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Rotational Motion question

2023 · Shift 2 · Q40

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PYQ Library
JEE Advanced
Physics
Rotational Motion
2023 · Shift 2 · Q40

Rotational Motion question

2023 · Shift 2 · Q40

JEE AdvancedPhysicsRotational MotionMultiple correct+4 / −2

An annular disk of mass

M

, inner radius

a

and outer radius

b

is placed on a horizontal surface with coefficient of friction

\mu

, as shown in the figure. At some time, an impulse

J_0 \hat{x}

is applied at a height

h

above the center of the disk. If

h=h_m

then the disk rolls without slipping along the

x

-axis. Which of the following statement(s) is(are) correct? JEE Advanced 2023 Paper 2 Online Physics - Rotational Motion Question 9 English

JEE Advanced 2023 Paper 2 Online Physics - Rotational Motion Question 9 English

A
For $\mu eq 0$ and $a \rightarrow 0, h_m=b / 2$ .
B
For $\mu eq 0$ and $a \rightarrow b, h_m=b$ .
C
For $h=h_m$ , the initial angular velocity does not depend on the inner radius $a$ .
D
For $\mu=0$ and $h=0$ , the wheel always slides without rolling.

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