IB Physics SL C.1.7 SHM from circular motion

Track the oscillator and rotating point through the same fraction of a period, compare their acceleration vectors and use symmetry to identify when the required relation repeats.

Exam points

Compare SHM and circular-motion acceleration vectors to find the repeated interval in T.

[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?

$\frac{T}{4}$

$\frac{T}{2}$

$\frac{3 T}{4}$

All question bank results loaded

C.1.7—SHM from circular motion question 1