# Horizontal Spring Displacement#

The displacement of a mass from its equilibrium position as it oscillates on a horizontal spring satisfies the equation $$x(t) = A\cos(\omega t + \phi_0)$$.

## Part 1(a)#

At $$t = 0$$ s, if $$x = -A/{{ params_n}}$$, There are the two possible values of $$\phi_0$$ between 0 and 2$$\pi$$ radians.

Enter the smaller angle;

Please enter an integer value in .

## Part 1(b)#

Enter the larger angle;

Please enter an integer value in .

## Part 2#

At $$t = 0$$ s, what fraction of the total energy of this oscillator is spring potential energy?

Please enter an integer value in .

## Part 3(a)#

At $$t = 0$$ s, there are two possible values of the $$x$$-components of the velocity of the mass ($$v_x$$) in terms of $$v\_{max}$$ that are found when $$x = -A/{{ params_n}}$$.

Which value of $$\phi_0$$ belongs to the larger angle?

Please enter an integer value in .

## Part 3(b)#

Which value of $$\phi_0$$ belongs to the smaller angle?

Please enter an integer value in .

## Part 4#

Choosing the value of $$\phi_0$$ from part (a) between 0 and $$\pi$$, at what times between 0 and $$T$$ are the kinetic and potential energies equal?