A mass of 0.42 kg is attached to a spring and set into oscillation on a...

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A mass of 0.42 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.22 m)cos[(10 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass X How does the amplitude of oscillation compare to the magnitude of the maximum displacement from equilibrium? m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period How long does it take the oscillating mass to travel from the maximum positive displacement to the maximum negative displacement? m (d) position of the mass one-third of a period after it has been released X How can you determine the position of the object at a specific time from an expression for the position of the object at any time? m (e) time it takes the mass to get to the position x = -0.10 m after it has been released S Additional Materials A mass of 0.42 kg is attached to a spring and set into oscillation on a horizontal frictionless surface. The simple harmonic motion of the mass is described by x(t) = (0.22 m)cos[(10 rad/s)t]. Determine the following. (a) amplitude of oscillation for the oscillating mass X How does the amplitude of oscillation compare to the magnitude of the maximum displacement from equilibrium? m (b) force constant for the spring N/m (c) position of the mass after it has been oscillating for one half a period How long does it take the oscillating mass to travel from the maximum positive displacement to the maximum negative displacement? m (d) position of the mass one-third of a period after it has been released X How can you determine the position of the object at a specific time from an expression for the position of the object at any time? m (e) time it takes the mass to get to the position x = -0.10 m after it has been released S Additional Materials