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PHYS1300 2020-21 mid-term feedback

Listed are the numerical/bottom line answers and common errors.

Q1

Force reduces by 0.28% (whichever way you work it out).

Errors: answer not qualified as a reduction in the force, % difference not given or not accurately enough, calculation error, no discussion, unsatisfactory derivation, poor/incorrect conclusion.

Q2

Function is neither odd nor even, ⃞⃞  = 1, ⃞⃞  = 0, ⃞⃞  =   [(−1)⃞  − 1],

= )ݐ(⃞  −  ቀsin +ݐ + + ⋯ ቁ.

Errors: graph incorrect or none given, incorrect or no statement as to whether function odd or even, Fourier coefficients incorrect or not mentioned, working not complete, incorrect final statement or  none given.

Q3

Equation of motion: = )ݐ(ߠ cos 4ݐ.

General solution: = )ݐ(ߠ cos 4 +ݐ cos 3ݐ.

Errors: complementary function not used and roots not found, incorrect roots, one of the constants incorrect, constants not found, equation of motion not written out with determined values of           constants in it, one or both coefficients incorrect, incorrect trial solution.

Q4

Mass = 13/24

Errors: integral incorrect or missing, incorrect integral limits, diagram drawn incorrectly or missing, surface density inserted too late in the working.