M3.3 - Further dynamics

Newton’s laws of motion, for a The solution of the resulting equations will be consistent particle moving in one dimension, with the level of calculus in units P1, P2, P3 and P4. when the applied force is variable.; Problems may involve the law of gravitation, i.e. the inverse square law.

Use variable-force motion in one dimension to connect the rule to the data and decision in the question.

This matters because variable-force motion in one dimension determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply variable-force motion in one dimension to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Variable-force motion in one dimension is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Prove that motion is simple harmonic by showing acceleration has the form x¨ = −ω²x, and solve SHM problems using geometric or calculus methods and standard formulae.

Use simple harmonic motion to connect the rule to the data and decision in the question.

This matters because simple harmonic motion determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply simple harmonic motion to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Simple harmonic motion is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.

Oscillations of a particle attached to Oscillations will be in the direction of the string or spring the end of an elastic string or only. spring.

Use oscillations attached to elastic strings or springs to connect the rule to the data and decision in the question.

This matters because oscillations attached to elastic strings or springs determines what can be inferred or chosen; begin with the stated conditions and keep the conclusion tied to the evidence.

Example: apply oscillations attached to elastic strings or springs to one small, clearly defined case, show the key step or comparison, and explain the result in words.

Boundary: Oscillations attached to elastic strings or springs is not a universal recommendation. Check the syllabus scope, assumptions, units and the limits of the evidence before generalising.