EXAMPLE 13.2 Simple Harmonic Motion on a Frictionless Surface Goal Calculate for

Question

EXAMPLE 13.2 Simple Harmonic Motion on a Frictionless Surface Goal Calculate forces and accelerations for a horizontal spring system. Problem A 0.350-kg object attached to a spring of force constant 1.30 x N/m is free to move on a frictionless horizontal surface, as in Active Figure 13.1. If the objectis released from rest at x 0.100 m, find the force on it and its acceleration at x 0.100 m, x 0.050 0 m, x 0 m, x 0.0500 m, and x 0.100 m. Strategy Substitute given quantities into Hooke's law to find the forces, then calculate the accelerations with Newton's second law. The amplitude Ais the same as the point of elease from rest, 0.100 m. comme

Explanation / Answer

Spring force = kx

Where k is spring constant

x is displacement

So Force is directly proportional to displacement

Hence doubling displacement doubles spring force

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