A 0.175 kg mass on a table is attached to a horizontal spring with a spring constant of 155 N/m. Ignore all friction and air resistance in this problem (i.e. assume no non-conservative forces act on the system). Assuming you call time t=0 the time when the mass is moving to the left (in the negative direction) through equilibrium, sketch a graph of the horizontal displacement of the mass vs. time for two full periods. Make sure to label your axes correctly and to mark the numerical values of your amplitude and period on the graph. Determine whether the mass is located to the left or the right of equilibrium at t=0.240 s. Determine if the mass is moving to the left or to the right at t=0.240 s.

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A 0.175 kg mass on a table is attached to a horizontal spring with a spring constant of 155 N/m. Ignore all friction and air resistance in this problem (i.e. assume no non-conservative forces act on the system).

Assuming you call time t=0 the time when the mass is moving to the left (in the negative direction) through equilibrium, sketch a graph of the horizontal displacement of the mass vs. time for two full periods. Make sure to label your axes correctly and to mark the numerical values of your amplitude and period on the graph.

Determine whether the mass is located to the left or the right of equilibrium at t=0.240 s.

Determine if the mass is moving to the left or to the right at t=0.240 s.

At some time you make a measurement of the mass and find that it is moving at a speed of 0.815 m/s and is 0.03 m from equilibrium. Find the amplitude of the oscillation.

 

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