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Edexcel A-Level Physics Condition for Simple Harmonic Motion

Practise Edexcel A-Level Physics simple harmonic motion conditions by identifying proportional restoring force and displacement from equilibrium.

Syllabus
Pearson Edexcel International Advanced Subsidiary/Advanced Level
Course
Physics XPH11/YPH11
Level
A2

Exam points

  • state SHM conditions using resultant force or acceleration proportional to displacement
  • explain the minus sign in F = -kx as force opposite to displacement from equilibrium
  • identify SHM from graphs or contexts by checking the restoring-force direction

5.5.143 - Condition for simple harmonic motion question 1

[Maximum number: 2]

The photograph shows the 60-storey John Hancock Tower in Boston. This is the tallest building in the state of Massachusetts in the USA.

Shortly after the building was completed in 1976 it was discovered that the wind caused the building to have large amplitude oscillations. To reduce the amplitude, a damper system was installed on the 58th floor.

The damper system consists of a lead box supported between springs, as shown below.

When the lead box is displaced, it moves with damped simple harmonic motion.

Figure for Question 5.5.143 - Condition for simple harmonic motion question 1 — Edexcel A-Level Physics A2
Figure for Question 5.5.143 - Condition for simple harmonic motion question 1 — Edexcel A-Level Physics A2

State what is meant by simple harmonic motion.

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