1
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$, then the value of $r$ is equal to

IIT-JEE 2006 Physics - Rotational Motion Question 8 English
A

$\frac{2}{\sqrt{15}} R$

B

$\frac{2}{\sqrt{5}} R$

C

$\frac{3}{\sqrt{15}} R$

D

$\frac{\sqrt{3}}{\sqrt{15}} R$

2
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

A wooden log of mass M and length L is hinged by a frictionless nail at O; a bullet of mass m strikes with velocity $$v$$ and sticks to it. Find angular velocity of the system immediately after the collision about O.

IIT-JEE 2005 Mains Physics - Rotational Motion Question 18 English

A
$$\left[\frac{4 m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$
B
$$\left[\frac{3 m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$
C
$$\left[\frac{5m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$
D
$$\left[\frac{3 m v}{(3\mathbf{M}+m) \mathrm{L}}\right]$$
3
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

A cylinder of mass m and radius R rolls down on an inclined plane of inclination $$\theta$$. Calculate the linear acceleration of axis of cylinder.

A
$$a=\frac{2}{3} g \sin \theta$$
B
$$a= g \sin \theta$$
C
$$a=\frac{5}{3} g \sin \theta$$
D
$$a=\frac{7}{3} g \sin \theta$$
4
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

Two identical ladders, each of mass M and length L are resting on the rough horizontal surface as shown in the figure. A block of mass $$m$$ hangs from P. If the system is in equilibrium, find the magnitude and the direction of frictional force at A and B.

IIT-JEE 2005 Mains Physics - Rotational Motion Question 17 English

A
$$f=\left[\frac{\mathbf{M}+m}{2}\right] g \cot \theta$$
B
$$f=\left[\frac{\mathbf{M}+m}{3}\right] g \cot \theta$$
C
$$f=\left[\frac{\mathbf{M}+m}{2}\right] 5g \cot \theta$$
D
$$f=\left[\frac{\mathbf{M}+m}{4}\right] g \cot \theta$$

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