cameroon gce advance level June 2021 mathematics with mechanics paper 3

cameroon gce advance level June 2021 mathematics with mechanics paper 3

cameroon gce advance level June 2021 mathematics with mechanics paper 3

The positon vector r of a particle of mass 2 kg at time / seconds is given by
r = [(2 sin 2t ) i + (1 – cos 2t ) j] m.
Find
(a) the velocity and the acceleration of the particle when / =-,
(b) the kinetic ernegy of the particle when / =
(c) the force acting on the particle when / =-,
(d ) the values of t where 0 < t – for which the velocity of the particle is perpendicular
to its acceleration.

2. (a) acts A force at the Fi,point of magnitude ( 1, 4). Given 12^5that N,Fi acts and at Fthe 2 form pointa(couple I, 7) towards . Find the thecartesian point (7,equation 10). Another of theforce line,ol F2action
of F:and the magnitude of the couple. (8 marks)
(b) An clastic string AB of natural length 2 m has the end A fixed. A load of mass 4 kg is attached to the
other end B so that the system hangs freely in equilibrium. Find the work that must be done to extend the
unloaded string from a length of 2.5 m to 2.9 m. (5 marks

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