1
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A mass $$m$$ hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass $$m$$ and radius $$R.$$ Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass $$m,$$ if the string does not slip on the pulley, is:
A
$$g$$
B
$${2 \over 3}g$$
C
$${g \over 3}$$
D
$${3 \over 2}g$$
2
AIEEE 2011
MCQ (Single Correct Answer)
+4
-1
A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a point near the rim of the disc. The insect now moves along a diameter of the disc to reach its other end. During the journey of the insect, the angular speed of the disc.
A
continuously decreases
B
continuously increases
C
first increases and then decreases
D
remains unchanged
3
AIEEE 2010
MCQ (Single Correct Answer)
+4
-1
A small particle of mass $$m$$ is projected at an angle $$\theta $$ with the $$x$$-axis with an initial velocity $${v_0}$$ in the $$x$$-$$y$$ plane as shown in the figure. At a time $$t < {{{v_0}\sin \theta } \over g},$$ the angular momentum of the particle is ................,

AIEEE 2010 Physics - Rotational Motion Question 205 English

where $$\widehat i,\widehat j$$ and $$\widehat k$$ are unit vectors along $$x,y$$ and $$z$$-axis respectively.
A
$$ - mg\,{v_0}{t^2}\cos \theta \widehat j$$
B
$$mg\,{v_0}t\cos \theta \widehat k$$
C
$$ - {1 \over 2}mg\,{v_0}{t^2}\cos \,\theta \widehat k$$
D
$${1 \over 2}mg\,{v_0}{t^2}\cos \theta \widehat i$$
4
AIEEE 2009
MCQ (Single Correct Answer)
+4
-1
A thin uniform rod of length $$l$$ and mass $$m$$ is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is $$\omega $$. Its center of mass rises to a maximum height of:
A
$${1 \over 6}\,\,{{l\omega } \over g}$$
B
$${1 \over 2}\,\,{{{l^2}{\omega ^2}} \over g}$$
C
$${1 \over 6}\,\,{{{l^2}{\omega ^2}} \over g}$$
D
$${1 \over 3}\,\,{{{l^2}{\omega ^2}} \over g}$$
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