1. A mass on a spring in SHM has amplitude A and period T. What is the net displ

Question

1. A mass on a spring in SHM has amplitude A and period T. What is the net displacement of the mass after a time interval T?
2. A spring can be stretched a distance of 60 cm with an applied force of 1 N. If an identical spring is connected in parallel with the first spring, and both are pulled together, how much force will be required to stretch this parallel combination a distance of 60 cm?
3. A spring can be stretched a distance of 60 cm with an applied force of 1 N. If an identical spring is connected in parallel with the first spring, and both are pulled together, how much force will be required to stretch this parallel combination a distance of 60 cm?

Explanation / Answer

1) The net displacement is zero because the initial and final position of the object in one time period of oscillation is the same.

2)

The spring constant k= F /x = 1 /0.6 = 1.76N/m

When two springs are connected in parallel then k ' = k1+k2 = 2 (1.76) = 3.33 N/m

The force would be F = (3.33) (0.6) = 2 N

3)

The spring constant k= F /x = 1 /0.6 = 1.76N/m

When two springs are connected in series then k ' = k1+ k2 / (k1+k2) = 0.83 N/m

The force would be F = (0.83) (0.6) = 0.5 N

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