Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

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Problem: Suppose you have a mass m attached to a spring constant k (N/m). The mass rests on a horizontal frictionless surface. Its equilibrium position is at x= 0. It is pulled aside a distance A and released.a) What is its speed as it passes the position x=0?b) What is the net force on the mass at position x=A?c) Do you expect the mass to have SHM?d) What is its speed when x=A/4?

FREE Expert Solution

a)

From the law of conservation of energy:

12kA2=12mv2

Solving for v:

12mv2=12kA2v=kmA2

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Problem Details

Suppose you have a mass m attached to a spring constant k (N/m). The mass rests on a horizontal frictionless surface. Its equilibrium position is at x= 0. It is pulled aside a distance A and released.

a) What is its speed as it passes the position x=0?

b) What is the net force on the mass at position x=A?

c) Do you expect the mass to have SHM?

d) What is its speed when x=A/4?

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