IB Physics HL A.2.8 Tension and Connected Bodies

Practise analysing HL tension systems with multiple ropes, friction and inclined motion.

Exam points

analyse tension in multi-rope and connected-body systems with friction or inclined motion
resolve each string’s tension into components and apply Newton’s second law to every body
explain why nearly horizontal support strings require large tension for a fixed vertical component

[Maximum number: 2]

This question is about the forces on a skier.

A skier is pulled up a hill by a rope at a steady velocity. The hill makes an angle of $12^{\circ}$ with the horizontal. The mass of the skier and skis is 73 kg . The diagram below shows three of the forces acting on the skier.

Figure for Question A.2.8—Tension question 1 — IB Physics HL

The total frictional force acting is 65 N . Determine the tension in the rope.

tension = frictional force + component of weight parallel to slope /
tension $=65+m g \sin \theta$ ;
$214 / 210 \mathrm{~N}$ ;

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A.2.8—Tension question 1