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The following figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Chapter 14). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.
The following figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Chapter 14). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.
CBSE | Class 11 | Motion in a Straight Line | NCERT
The following figure gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Chapter 14). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, – 1.2 s.

Ans.

In Simple harmonic Motion,

acceleration (a) is given as => a = – ω2 x                                              —-(1)

where ω is the angular frequency
(i) We are given that,

at t = 0.3 s, x < 0

This implies that the position is negative. In addition, as x becomes more negative with time, it denotes that the velocity is negative (i.e., v < 0). However, from equation (1), the acceleration will have a positive value.

(ii) At t = 1.2 s,  Position and velocity, both will have a positive value whereas the acceleration will be negative.
(iii) At t = -1.2 s, Position is a negative value and the Velocity and acceleration will have a positive value.

i

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