Q8 of 40 Page 97

Figure 14.2. shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P is

At t=0 the position is , and T=30,


∴


At t=T/4 the position is and


Thus, the equation, satisfies the situation and thus option (a) is the correct option.

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A particle executing S.H.M. has a maximum speed of 30 cm/s and a maximum acceleration of 60 cm/s2. The period of oscillation is