Mathematics B (MEI) H630: FORCES Topical Past Paper Questions

Points A, B and C lie in a straight line in that order on horizontal ground. A box of mass 5kg is pushed from A to C by a horizontal force of magnitude 8N. The box is at rest at A and takes 3 seconds to reach B. The ground is smooth between A and B. Between B and C the ground is…

A rescue worker is lowered from a helicopter on a rope. She attaches a second rope to herself and to a woman in difficulties on the ground. The helicopter winches both women upwards with the rescued woman vertically below the rescue worker, as shown in the diagram. The model for…

A particle is in equilibrium under the action of three forces in newtons given by $$ \mathbf{F}_{1}=\binom{8}{0},\quad\mathbf{F}_{2}=\binom{2a}{-3a}\quad\mathrm{a n d}\quad\mathbf{F}_{3}=\binom{0}{b}. $$ Find the values of the constants $a$ and $b$.