Answer:
in the positive direction.
Explanation:
The equation that describes the motion of this mass-spring system is given by;
Where A is the amplitude, which defined as the maximum displacement from the equilibrium position for a body in simple harmonic motion.
is the angular velocity measured in , this is the angle turned through per unit time.
is the displacement along the axis of the amplitude, and is any instant of time in the motion.
Given; A = 8.8cm = 0.088m
The angular velocity is given by the following relationship also;
Where T is the period, which is defined as the time taken for a body in simple harmonic motion to make one complete oscillation.
Given; T=0.66s
Therefore;
Substituting all values into equation (1) we obtain the following;
Equation (2) is the equation describing the motion of the mass on the spring.
At an instant of time t = 2.3s, the displacement is therefore given as follows;
By conversion,
Therefore