CAIE M1 2020 June — Question 3

Exam BoardCAIE
ModuleM1 (Mechanics 1)
Year2020
SessionJune
TopicMotion on a slope

3
\includegraphics[max width=\textwidth, alt={}, center]{e11bebff-1c09-4576-9b9b-a1678ea2b226-04_397_759_264_694} A particle of mass 2.5 kg is held in equilibrium on a rough plane inclined at \(20 ^ { \circ }\) to the horizontal by a force of magnitude \(T \mathrm {~N}\) making an angle of \(60 ^ { \circ }\) with a line of greatest slope of the plane (see diagram). The coefficient of friction between the particle and the plane is 0.3 . Find the greatest and least possible values of \(T\).