1
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
A coin is placed on a horizontal platform which undergoes vertical simple harmonic motoin of angular frequency $$\omega .$$ The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time
A
at the mean position of the platform
B
for an amplitude of $${g \over {{\omega ^2}}}$$
C
For an amplitude of $${{{g^2}} \over {{\omega ^2}}}$$
D
at the height position of the platform
2
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
Starting from the origin a body oscillates simple harmonically with a period of $$2$$ $$s.$$ After what time will its kinetic energy be $$75\% $$ of the total energy?
A
$${1 \over 6}s$$
B
$${1 \over 4}s$$
C
$${1 \over 3}s$$
D
$${1 \over 12}s$$
3
AIEEE 2006
MCQ (Single Correct Answer)
+4
-1
The maximum velocity of a particle, executing simple harmonic motion with an amplitude $$7$$ $$mm,$$ is $$4.4$$ $$m/s.$$ The period of oscillation is
A
$$0.01$$ $$s$$
B
$$10$$ $$s$$
C
$$0.1$$ $$s$$
D
$$100$$ $$s$$
4
AIEEE 2005
MCQ (Single Correct Answer)
+4
-1
The function $${\sin ^2}\left( {\omega t} \right)$$ represents
A
a periodic, but not $$SHM$$ with a period $${\pi \over \omega }$$
B
a periodic, but not $$SHM$$ with a period $${{2\pi } \over \omega }$$
C
a $$SHM$$ with a period $${\pi \over \omega }$$
D
a $$SHM$$ with a period $${{2\pi } \over \omega }$$
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