Question:
The position co-ordinates of a particle moving in a 3-D coordinate system is given by
$x=\mathrm{a} \cos \omega \mathrm{t}$
$y=a \sin \omega t$
and $z=a \omega t$
The speed of the particle is:
$\sqrt{2} \mathrm{a} \omega$
$\mathrm{a} \omega$
$\sqrt{3} \mathrm{a} \omega$
$2 \mathrm{a} \omega$
Question of from chapter.
JEE Main Previous Year 9 Jan 2019, II
Correct Option: 1
Solution:
Related Questions
TTwo simple harmonic motions, as shown, are at right angles. They are combined to form Lissajous figures.
$$
\begin{aligned}
&x(t)=A \sin (a t+\delta) \\
&y(t)=B \sin (b t)
\end{aligned}
$$
Identify the correct match below
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is $10 \mathrm{~s}^{-1}$. At, $\mathrm{t}=0$ the displacement is $5 \mathrm{~m}$. What is the maximum acceleration ? The initial phase is $\frac{\pi}{4}$
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Which of the following expressions corresponds to simple harmonic motion along a straight line, where $x$ is the displacement and $\mathrm{a}, \mathrm{b}, \mathrm{c}$ are positive constants?
A particle which is simultaneously subjected to two perpendicular simple harmonic motions represented by; $x=a_{1} \cos \omega t$ and $y=a_{2} \cos 2 \omega t$ traces a curve given by:
The displacement $y(t)=A \sin (\omega t+\phi)$ of a pendulum for $\phi=\frac{2 \pi}{3}$ is correctly represented by