Mathematics M1,M2,M3 WME01: Motion in a Circle Topical Past Paper Questions

Figure 5 A particle P of mass m is attached to one end of a light inextensible string of length 4a. The other end of the string is attached to a fixed point O. The particle is held at the point A, where OA = 4a, and OA is horizontal, as shown in Figure 5. The particle is projecte…

Figure 4 A fixed solid sphere has centre O and radius r. A particle P of mass m is held at the point A on the smooth outer surface of the sphere, where OA makes an angle $ \alpha $, where $ \alpha (3) $$ (b)\text{Show that}\tan\alpha=\frac{2}{3} $$ At the instant when P crosses t…

Figure 3 Figure 3 shows a thin hollow right circular cone fixed with its circular rim horizontal. The centre of the circular rim is O. The vertex V of the cone is vertically below O. The radius of the circular rim is 4a and $ OV = 3a $. A particle $P$ of mass $m$ moves in a horiz…