CAIE A-Level Mathematics 4.1.1 Force Diagrams

Practise identifying and drawing all forces on an isolated particle or block, including weight, normal reaction, tension, friction and applied forces with required angles.

Exam points

isolate the body and draw each real force as an arrow through its point or line of action
include mg vertically, reaction normal to contact and tension along each string
show friction opposing actual or impending motion and label any angles needed for resolution

[Maximum number: 1]

A particle of mass 12 kg is stationary on a rough plane inclined at an angle of $25^{\circ}$ to the horizontal. A force of magnitude $P \mathrm{~N}$ acting parallel to a line of greatest slope of the plane is used to prevent the particle sliding down the plane. The coefficient of friction between the particle and the plane is 0.35 .

Draw a sketch showing the forces acting on the particle.

The force diagram should show the weight vertically downward, the normal reaction perpendicular to the plane, the force P parallel to the line of greatest slope, and the friction force F along the plane opposing the tendency to slide. The angle of inclination is $25^\circ$ .

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4.1.1—Forces question 1