IIT-JEE 2005 Mains | Rotational Motion Question 68 | Physics

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-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

$$\left[\frac{4 m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$

$$\left[\frac{3 m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$

$$\left[\frac{5m v}{(\mathbf{M}+3 m) \mathrm{L}}\right]$$

$$\left[\frac{3 m v}{(3\mathbf{M}+m) \mathrm{L}}\right]$$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-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.

$$a=\frac{2}{3} g \sin \theta$$

$$a= g \sin \theta$$

$$a=\frac{5}{3} g \sin \theta$$

$$a=\frac{7}{3} g \sin \theta$$

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

-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

$$f=\left[\frac{\mathbf{M}+m}{2}\right] g \cot \theta$$

$$f=\left[\frac{\mathbf{M}+m}{3}\right] g \cot \theta$$

$$f=\left[\frac{\mathbf{M}+m}{2}\right] 5g \cot \theta$$

$$f=\left[\frac{\mathbf{M}+m}{4}\right] g \cot \theta$$

IIT-JEE 2001

MCQ (Single Correct Answer)

-1

One quarter section is cut from a uniform circular disc of radius $R$. This section has a mass $M$. It is made to rotate about a line perpendicular to its plane and passing through the centre of the original disc. Its moment of inertia about the axis of rotation is

IIT-JEE 2001 Physics - Rotational Motion Question 9 English

$\dfrac{1}{2} MR^2$

$\dfrac{1}{4} MR^2$

$\dfrac{1}{8} MR^2$

$\sqrt{2} MR^2$

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