Mathematics M1,M2,M3 WME01: Mathematical Models in Mechanics Topical Past Paper Questions

A particle P has mass m and a particle Q has mass km, where k is a constant. The particles are moving in opposite directions along the same straight line on a smooth horizontal surface. Particle $P$ collides directly with $Q$. Immediately before the collision, the speed of P is $…

Figure 1 The shaded region R is bounded by the x-axis, the line with equation x = 1, the curve with equation $ y = 1 + \sqrt{x} $ and the y-axis, as shown in Figure 1. The unit of length on both of the axes is 1 m. The region R is rotated through $ 2\pi $ radians about the x-axis…

Figure 4 A particle P of mass 4m lies on the surface of a fixed rough inclined plane. The plane is inclined to the horizontal at an angle $ \alpha $ where $ \tan\alpha=\frac{3}{4} $ The particle P is attached to one end of a light inextensible string. The string passes over a sma…