UAT-UK SPEC CODE: P3 (Mechanics)ASSUMED MATHS 1 PREREQUISITE: M4.4FREQUENCY: HIGH

Equilibrium of Coplanar Forces, Drag/Terminal Velocity Balancing & Tension-Spring/Pulley Systems

Deconstructed from 14 past UAT-UK questions (6.01% of all historical Physics papers). Students using standard A-Level classroom methods spend an average of 140s on this archetype—blowing past the 90s ESAT budget. Using the 2-line Sub-90 heuristic below compresses solve time to 35s (saving 105s per question).

Historical Frequency
14 Past Qs
6.01% of Physics
Classroom Trap Time
140s
+50s over 90s budget
Sub-90 Target Time
35s
Banks +105s on the clock
Dominant UI Format
5-Option A–E
Maths 1 Skill: M4.4

Card 1 & Card 2 Preview: The Classroom Time Trap vs. Sub-90 2-Line Rule

Excerpted from our interactive 6-Step Topic Lesson for ARCH-P-06.

Launch All 6 Active-Recall Cards
CARD 1 OF 6 • THE CLASSROOM TIME TRAP (140s)
Why Students Bleed Time:
First isolate the rising load: T−mg=ma  ⟹  T=6(10+0.5)=63 NT - mg = ma \implies T = 6(10 + 0.5) = 63\text{ N}. Since both the load side and the motor side of the cable pull vertically downwards on the frictionless pulley with tension TT, equilibrium of the massless pulley requires Fcoupling=2T=126 NF_{\text{coupling}} = 2T = 126\text{ N} (~125s).
In 14 past UAT-UK questions (6.01% of Physics), candidates lose 105s by substituting raw ruler coordinate x instead of lever arm |x - x_pivot|. Instead, apply P3 with Maths 1 skill M4.4.
CARD 2 OF 6 • THE 2-LINE SUB-90 HEURISTIC (<35s)
Line 1 (Rope Tension): T=m(g+a)=6×10.5=63 NT = m(g + a) = 6 \times 10.5 = 63\text{ N}.
Line 2 (Double Strand Coupling): Fcoupling=2T=126 NF_{\text{coupling}} = 2T = 126\text{ N} (25s).
Sanity & Limit Check: Verify units/signs against fence_post_or_domain_trap (Measuring distance from the end of the beam instead of from the chosen pivot support) and subsystem_isolation_trap (Omitting the weight W_beam of a uniform (non-light) beam acting at its midpoint L/2).

Examiner Distractor Blueprint for ARCH-P-06

FOIL #1fence_post_or_domain_trap
Measuring distance from the end of the beam instead of from the chosen pivot support

Substituting raw ruler coordinate x instead of lever arm |x - x_pivot|.

Open Fence-Post / Domain Trap Clinic
FOIL #2subsystem_isolation_trap
Omitting the weight W_beam of a uniform (non-light) beam acting at its midpoint L/2

Treating a uniform massive plank as massless and ignoring its torque about an off-centre pivot.

Open Subsystem Isolation Trap Clinic
FOIL #3unit_or_prefix_mismatch
Using mass m (kg) for one torque term and weight mg (N) for another with g = 10 N/kg

Mixing kg*m and N*m in the same moment balance equation.

Open Unit / Prefix Mismatch Clinic
FOIL #4intermediate_stop_trap
Finding normal contact force N_A at Support A when the question asks for N_B = W_total - N_A

Solving for the wrong support force.

Open Intermediate Stop Trap Clinic

Try 1 Live Sample Question Under the 90-Second Stopwatch

Press W to open the 2-line dry-wipe scratchpad, select A–E, and lock in to reveal the Dual-View solution.

sub90 ESAT Stopwatch Emblemsub90 ESAT
ARCH-P-06: Equilibrium of Coplanar Forces, Drag/Terminal Velocity Balancing & Tension-Spring/Pulley Systems (Sample)Physics
00:00.0
SUB-90 ZONE (<35S)
0.0s35s Sub-9090s ESAT Budget150s Classroom
Question 1 of 1ARCH-P-06 (6-Card Lesson)Format: Standard 5-Option
Right-click any option to cross out • Keys A–E + Enter
Question 1 of 1 • 90s Target

Ready to Start Question 1?

The question stem, diagram, and answer options are hidden behind this pre-start gate. When you click below, the question will reveal and your 90-second split stopwatch will immediately begin ticking.

Physics•ARCH-P-06•Standard 5-Option
or press Enter to start