Question

Which of the following graphs are related to a mass m attached to spring performing SHM? Symbols have their usual meaning.

• A.
• B.
• C.
• D.

Answer 1

Answer: (A), (B), (C)

The correct options are
A

B

C

General equation of displacement vs time for a spring block system is

$x=Asin(\omega t+\varphi )$

$If\varphi =0$

$x=Asin\omega t$

If $\varphi is\frac{\pi }{2}thengenerale{q}^{n}becomes$

$x=Asin(\omega t+\frac{\pi }{2})$

$x=Acos\omega t$

The graph will be similar to option (b)

$T=2\pi \sqrt{\frac{m}{k}}$ Time period doesn't depend on Amplitude A

So option c is correct

$Kx=-ma$

$x=-\frac{m}{k}a$

${\omega }^2=\frac{m}{k}$

If k is constant then equation will be similar to $y^2=x$

So option d is wrong