AIEEE 2011 | Simple Harmonic Motion Question 137 | Physics

A mass $$M,$$ attached to a horizontal spring, executes $$S.H.M.$$ with amplitude $${A_1}.$$ When the mass $$M$$ passes through its mean position then a smaller mass $$m$$ is placed over it and both of them move together with amplitude $${A_2}.$$ The ratio of $$\left( {{{{A_1}} \over {{A_2}}}} \right)$$ is :

$${{M + m} \over M}$$

$${\left( {{M \over {M + m}}} \right)^{{1 \over 2}}}$$

$${\left( {{{M + m} \over M}} \right)^{{1 \over 2}}}$$

$${M \over {M + m}}$$

AIEEE 2011

MCQ (Single Correct Answer)

-1

Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega $$ along the $$x$$-axis. Their mean position is separated by distance $${X_0}\left( {{X_0} > A} \right)$$. If the maximum separation between them is $$\left( {{X_0} + A} \right),$$ the phase difference between their motion is:

$${\pi \over 3}$$

$${\pi \over 4}$$

$${\pi \over 6}$$

$${\pi \over 2}$$

AIEEE 2009

MCQ (Single Correct Answer)

-1

If $$x,$$ $$v$$ and $$a$$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period $$T,$$ then, which of the following does not change with time?

$$aT/x$$

$$aT + 2\pi v$$

$$aT/v$$

$${a^2}{T^2} + 4{\pi ^2}{v^2}$$

AIEEE 2007

MCQ (Single Correct Answer)

-1

A particle of mass $$m$$ executes simple harmonic motion with amplitude a and frequency $$v.$$ The average kinetic energy during its motion from the position of equilibrium to the end is

$$2{\pi ^2}\,m{a^2}{v^2}$$

$${\pi ^2}\,m{a^2}{v^2}$$

$${1 \over 4}\,m{a^2}{v^2}$$

$$4{\pi ^2}m{a^2}{v^2}$$

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