CAIE A-Level Mathematics AS 4.1.6 Equilibrium Questions

Attempt at resolving perpendicular to plane to get an equation

*M1

3 relevant terms;
allow sign errors;
allow sin/cos mix;

Marking guidance:

allow g missing;
m=0.8 must be used;
correct angles
must be used.

$R+T \sin 35=0.8 g \cos 28[R+(0.57357 \ldots) T=7.06358]$
Attempt to resolve parallel to plane for one of the possible cases to get an
equation

*M1

3 relevant terms;
allow sign errors;
allow sin/cos mix;
allow g missing;
m=0.8 must be used;
correct angles
must be used.

$T \cos 35=0.8 g \sin 28+F \quad[(0.81915 \ldots) T=3.75577 \ldots+F]$
May use their F.

$T \cos 35=0.8 g \sin 28-F \quad[(0.81915 \ldots) T=3.75577 \ldots-F]$
May use their F.

Use of F=0.2 R to get an equation in T only
Dependent on previous 2 M marks.

May be implied by correct T value.

Allow g missing.

If resolved equations incorrect and no working seen, then this mark is implied by the correct T value for their equations.

Solve to get T=5.53
5.534499898

AWRT 5.53 from correct work.

Allow 5.54 from correct work.

Solve to get T=3.33
3.326141531

AWRT 3.33 from correct work.

Allow 3.32 from correct work.