Question

The graph shows the variation in displacement with time for an object moving with simple harmonic motion. What is the maximum acceleration of the object?

• A. $10$
• B. $0.99$
• C. $0.44$
• D. none of the above

Answer 1

The correct option is B $0.99$

The maximum displacement from mean position $a=10$ unit along $\omega =10\times {10}^{-2}$

$=0.1m$

Time period $=2sec$

Angular frequency$\Rightarrow \omega =\frac{2\pi }{T}=\frac{2\pi }{2}=\pi s$

Maximum acceleration for S.H.M.

${\omega }^2\times a={\pi }^2\times \left(0.1\right)=0.986\times 0.99$