IB Physics HL C.1.7 SHM from Circular Motion Question Bank

Practise IB Physics HL C.1.7 by relating oscillator phase positions to circular-motion vectors and repeated acceleration relationships.

Exam points

Map SHM and circular-motion phase positions to compare acceleration vectors over one period.
Infer repeated vector relationships from quarter-, half- and full-period symmetry.

[Maximum number: 1]

Object P moves vertically with simple harmonic motion (shm). Object Q moves in a vertical circle with a uniform speed. P and Q have the same time period T. When P is at the top of its motion, Q is at the bottom of its motion.

Figure for Question C.1.7—SHM from circular motion question 1 — IB Physics HL

What is the interval between successive times when the acceleration of P is equal and opposite to the acceleration of Q?

$\frac{T}{4}$

$\frac{T}{2}$

$\frac{3 T}{4}$

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C.1.7—SHM from circular motion question 1