Periodic motion (A-level only)

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Question 40

A micro-electromechanical system (MEMS) cantilever sensor of effective mass $M$ undergoes simple harmonic motion. The sensor has a total mechanical energy $E$ and oscillates with a time period $T$ .

Show that the amplitude of the oscillation, $X_0$ , is given by:

X_0 = \frac{T}{2\pi} \sqrt{\frac{2E}{M}}

[4]

Periodic motion (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42

Question 40

A micro-electromechanical system (MEMS) cantilever sensor of effective mass $M$ undergoes simple harmonic motion. The sensor has a total mechanical energy $E$ and oscillates with a time period $T$ .

Show that the amplitude of the oscillation, $X_0$ , is given by:

X_0 = \frac{T}{2\pi} \sqrt{\frac{2E}{M}}

[4]

Periodic motion (A-level only)

Question 40

Periodic motion (A-level only) Questions

Periodic motion (A-level only)

Question 40

Periodic motion (A-level only) Questions