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

Practise IB Physics SL C.1.7 by matching SHM with uniform circular motion through acceleration direction, phase position and period symmetry.

Exam points

Use the shared period to compare SHM and circular-motion acceleration directions at matching positions.
Apply quarter- and half-period symmetry to find when acceleration vectors are equal or opposite.

[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 SL

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