Question

An object of mass $0.8kg$ is attached to one end of a spring and the system is set into simple harmonic motion. The displacement $x$ of the object as a function of time is shown in the figure. With the aid of the data, determine the magnitude of the object's acceleration at $t=1.0s$.

Answer 1

At t=1 s, x is maximum (=+A). Therefore magnitude of acceleration is also maximum
a=maximum$={\omega }^{2}A={\left(1.57\right)}^2\left(0.08\right)$ As $\omega =\frac{2\pi }{T}=\frac{2\pi }{4}=1.57$
$=0.197$ m/s${}^2$