A micro-electromechanical system (MEMS) cantilever sensor of effective mass MMM undergoes simple harmonic motion. The sensor has a total mechanical energy EEE and oscillates with a time period TTT.
Show that the amplitude of the oscillation, X0X_0X0, is given by:
X0=T2π2EM X_0 = \frac{T}{2\pi} \sqrt{\frac{2E}{M}} X0=2πTM2E45 exam-style questions on AQA A Level Physics Periodic motion (A-level only), covering Circular motion (A-level only), Simple harmonic motion (SHM) (A-level only), Simple harmonic systems (A-level only), and Forced vibrations and resonance (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.