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Lesson: Chapter 9 — Resultant Force

9.2. The resultant of two collinear forces 5 of 7

Activity 2 — three cases

This time the two balances pull on opposite sides of the trolley — in opposite directions.

Activity 2

Apparatus: a trolley, two Newton balances, two smooth pulleys, balance weights.

  1. Place the trolley on the table, fix a thread to each side, pass the far ends of the threads over smooth pulleys and connect two spring balances (A and B) to the two ends.
  2. Observe and record the motion of the trolley for three cases.

Figure to be added

Figure 9.7 — forces acting on the trolley in opposite directions: the smooth pulley and the two spring balances A and B.

Case 1 — A: 4 N, B: 4 N

The trolley does not move. Equal forces act on it in opposite directions, and under those forces the trolley is in equilibrium.

Case 2 — A: 4 N, B: 6 N

The trolley moves towards balance B. The extra force applied in the B direction over the A direction is 2 N. So in this case the resultant is 2 N in the direction of B.

Case 3 — A: 6 N, B: 6 N

The trolley does not move. The forces on the two sides are equal and the resultant is zero.

Are cases 1 and 3 not the same?

The trolley stays still in both, so at a glance they look identical. But the pull on the threads is greater in case 3 — 6 N each, not 4 N. Which means a zero resultant is not the absence of force; it is forces cancelling each other. Keep increasing the pull and the thread will snap — yet the resultant stays zero right up to the moment it does.