The Total solution for NCERT class 6-12
The following figure gives the x-t plot of a particle executingone-dimensional simple harmonic motion. (You will learn about this motion inmore detail in Chapter 14). Give the signs of position, velocity andacceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.
In S.H.M.,acceleration, a = – ω2 x , ω is the angular frequency—-(1)(i) At t = 0.3 s, x < 0 i.e., Position is negative. Moreover, as x isbecoming more negative with time, it shows that velocity is negative (i.e., v< 0). However, using equa (1), acceleration will be positive.(ii) At t = 1.2 s, Positions and velocity will be positive. Accelerationwill be negative.(iii) At t = -1.2 s, Position, x is negative. Velocity and accelerationwill be positive.