ib 4.1 oscillations 2

Question 1 Identify the incorrect statement about the displacement of an object oscillating in simple harmonic motion.

• A Displacement is a vector quantity
• B Displacement and velocity act in opposite directions
• C Displacement is proportional to the restoring force
• D Displacement is proportional to the restoring force

Question 2 Identify the true statement about phase difference.

• A Phase di erence must be calculated from the crest of one wave to the crest on another wave
• B When the same points on two di erent waves align, the waves are in anti-phase
• C Phase di erence is a measure of how much one point on a wave is in front or behind a di erent point on another wave
• D Waves in phase have a phase di erence of 2π radians

Question 3 Select the graph that shows the oscillation beginning at positive amplitude x₀.

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Question 4 The total energy E (T) in system in simple harmonic motion reflects the energy transfers between the kinetic energy E(K) store and the potential energy E (P) store. Identify the correct equation for the total energy of a system in simple harmonic motion.

• A
• B
• C
• D

Question 5 Select the position on the acceleration-time graph where displacement x = 0

• A
• B
• C
• D

Question 6 Identify the statement that is not a condition of simple harmonic motion.

• A The restoring force is directed toward the amplitude x₀
• B Acceleration is directed toward the equilibrium position
• C The oscillations are isochronous
• D The magnitude of the restoring force is proportional to the displacement

Question 7 Choose the graph that shows an oscillation beginning at equilibrium.

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Question 8 Identify the correct equation for time period T with respect to frequency f.

• A T = (1/2) Πf
• B T = 1/f
• C T = (1/2) f
• D T = f

Question 9 Select the position on the displacement-time graph that shows when the velocity is zero

• A
• B
• C
• D

Question 10 As a mass-spring system oscillates in simple harmonic motion, the restoring force F is proportional to the displacement x. F = −kx Choose the line that shows the correct units for each quantity. force F spring constant k displacement x

• A N N m⁻¹ m
• B N m N m²
• C N m⁻¹ N m ml
• D N N kg⁻¹ m