Question

A $2kg$ mass executes SHM with a frequency of $5Hz$. Calculate the acceleration and the restoring force acting on the body when the displacement of the body is $2cm$.

Answer 1

Using Newton's 2nd law,

$F=ma$

$\therefore$ Force $=$ mass $\times$ acceleration

or, acceleration $=\frac{Force}{mass}$

acceleration,

$a=A{\left(2\pi f\right)}^2$

$=\frac{2}{2\times {10}^{-2}}\times {(2\pi \times 5)}^2=\frac{0.5}{{10}^{-2}}$

$=100\times {4\pi }^2\times 25=\frac{5}{100}\times 100$

$=2500\times 4\times {\left(3.14\right)}^2$

$=9.8\times {10}^{-4}m/s^2$