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Mechanics · Part 4 of 4
6 exam-style questions with model answers, plus 6 quick multi-choice questions — every question on this part of the standard, grouped by the 2 pages of notes they come from.
Write a full answer before you reveal the model one. That comparison is where the learning happens.
An object in SHM has amplitude m and angular frequency rad s−1.
Show that its maximum speed is m s−1.
An object oscillates in SHM with a period of s and amplitude m.
Calculate its maximum acceleration.
An object in SHM has amplitude m and angular frequency rad s−1.
Determine its speed when it is m from the centre, and explain why the acceleration there is exactly half its maximum value.
A kg mass on a spring of constant N m−1 oscillates in SHM.
Show that its period is about s.
A pendulum has length m. Take m s−2.
Calculate its period, and state what would happen to the period if a heavier bob were used.
Soldiers are told to break step when crossing a footbridge.
Explain, using natural frequency, resonance and damping, why marching in step could be dangerous.