Question

Two particles P and Q describe simple harmonic motions of same period, same amplitude, along thesame line about the same equilibrium position O. When P and Q are on opposite sides of O at the samedistance from O they have the same speed of 1.2 m/s in the same direction, when their displacements arethe same they have the same speed of 1.6 m/s in opposite directions. The maximum velocity in m/s ofeither particle is

• A. 2.8
• B. 2.5
• C. 2.4
• D. 2

Answer 1

The correct option is D 2

$\begin{array}{c}AW\cos \varnothing =1.2\\ AW\sin \varnothing =1.6\\ \tan \varnothing =\frac{4}{3}={53}^0\\ AW\times \frac{3}{5}=1.2\Rightarrow AW=2m/s\end{array}$