2
MCQ (Single Correct Answer)
The displacement of a particle is represented by the equation $y=\sin ^3 \omega t$. The motion is
A
non-periodic
B
periodic but not simple harmonic
C
simple harmonic with period $2 \pi / \omega$
D
simple harmonic with period $\pi / \omega$
3
MCQ (Single Correct Answer)
The relation between acceleration and displacement of four particles are given below
Which, one of the particle is exempting simple harmonic motion?
A
$a_x=+2 x$
B
$a_x=+2 x^2$
C
$a_x=-2 x^2$
D
$a_x=-2 x$
4
MCQ (Single Correct Answer)
Motion of an oscillating liquid column in a U-tube is
A
periodic but not simple harmonic
B
non-periodic
C
simple harmonic and time period is independent of the density of the liquid
D
simple harmonic and time period is directly proportional to the density of the liquid
5
MCQ (Single Correct Answer)
A particle is acted simultaneously by mutually perpendicular simple harmonic motion $$x=a \cos \omega t$$ and $$y=a \sin \omega t$$. The trajectory of motion of the particle will be
A
an ellipse
B
a parabola
C
a circle
D
a straight line
6
MCQ (Single Correct Answer)
The displacement of a particle varies with time according to the relation $y=a \sin \omega t+b \cos \omega t$.
A
The motion is oscillatory but not SHM
B
The motion is SHM with amplitude $a+b$
C
The motion is SHM with amplitude $a^2+b^2$
D
The motion is SHM with amplitude $\sqrt{a^2+b^2}$