AIEEE 2007 | Simple Harmonic Motion Question 161 | Physics

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

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

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

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

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

AIEEE 2006

MCQ (Single Correct Answer)

-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

at the mean position of the platform

for an amplitude of $${g \over {{\omega ^2}}}$$

For an amplitude of $${{{g^2}} \over {{\omega ^2}}}$$

at the height position of the platform

AIEEE 2006

MCQ (Single Correct Answer)

-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

$$0.01$$ $$s$$

$$10$$ $$s$$

$$0.1$$ $$s$$

$$100$$ $$s$$

AIEEE 2006

MCQ (Single Correct Answer)

-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?

$${1 \over 6}s$$

$${1 \over 4}s$$

$${1 \over 3}s$$

$${1 \over 12}s$$

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