1
AIEEE 2007
MCQ (Single Correct Answer)
+4
-1
The displacement of an object attached to a spring and executing simple harmonic motion is given by $$x = 2 \times {10^{ - 2}}$$ $$cos$$ $$\pi t$$ metre. The time at which the maximum speed first occurs is
A
$$0.25$$ $$s$$
B
$$0.5$$ $$s$$
C
$$0.75$$ $$s$$
D
$$0.125$$ $$s$$
2
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
3
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
$${1 \over 12}s$$
4
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
$$100$$ $$s$$
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