# Figure 3.23 gives the x-t plot of a particle executing one-dimensional simple harmonic motion. (You will learn about this motion in more detail in Chapter14). Give the signs of position, velocity and acceleration variables of the particle at t = 0.3 s, 1.2 s, - 1.2 s.

# Answer:

Negative, Negative, Positive (at t = 0.3 s)

Positive, Positive, Negative (at t = 1.2 s)

Negative, Positive, Positive (at t = -1.2 s)

Positive, Positive, Negative (at t = 1.2 s)

Negative, Positive, Positive (at t = -1.2 s)

For simple harmonic
motion (SHM) of a particle, acceleration (a) is given by the relation:

a = - ω

t = 0.3 s

^{2}x ω → angular frequency … (i)t = 0.3 s

In this time interval, x
is negative. Thus, the slope of the x-t plot will also be negative. Therefore,
both position and velocity are negative. However, using equation (i), acceleration of the particle
will be positive.

t = 1.2 s

In this time interval, x
is positive. Thus, the slope of the x-t plot will also be positive. Therefore,
both position and velocity are positive. However, using equation (i), acceleration of the particle comes to be
negative.

t = - 1.2 s

## No comments:

## Post a Comment