Resultant forces and dynamics in a planeEdexcel A-Level Maths: Flashcards

What these 12 flashcards ask

What is a resultant force?
How is a bearing measured?
East and north components of a force F on bearing \theta?
Resultant of 8 N east and 6 N north: magnitude and bearing?
Magnitude of the resultant of components RE and RN?
Resultant of P and Q with angle \phi between their directions?
What is the acceleration of a particle under a resultant force R?
How do you find the speed after resolving the motion into components?
What force keeps a particle in equilibrium under a set of forces?
How do you find the bearing of an equal and opposite force?
When a force is removed, what is the new resultant?
Force of 6 N on bearing 210^\circ: east and north components?

Exam questions on Resultant forces and dynamics in a plane

Two horizontal forces act on a particle: a force of 8 N acting due east and a force of 6 N acting due north.
These are the only forces on a particle of mass 4 kg, initially at rest. Find the speed of the particle after 3 s.2 marks
Two horizontal forces act on a particle: a force of 12 N on a bearing of $060^\circ$ and a force of 5 N on a bearing of $150^\circ$ .
A third horizontal force $\mathbf{F}$ is applied so that the particle is in equilibrium. State the magnitude of $\mathbf{F}$ and the bearing on which it acts.2 marks
Two horizontal forces of magnitudes 20 N and 15 N act on a particle of mass 3 kg, which moves on a smooth horizontal plane. The angle between the lines of action of the two forces is $60^\circ$ .
Find the magnitude of the resultant of the two forces.3 marks

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).