Tuesday, 23 September 2014

Mechanics questions

Question 1
A body, of mass m, is moving in a circular path of radius r. The centripetal force acting on it is Fc. Show that the rotational frequency of the motion is given by
Question 2
A piece of metal is given an initial kinetic energy, K, near the bottom of a plane inclined at OMEGABSMdegrees to the horizontal. The coefficient of dynamic friction between the metal and the inclined plane is ยต.
The centre of gravity of the piece of metal moves through a vertical distance, h, before coming to rest. Using the principle of conservation of energy, show that the relation between h and K is
Question 3
An apple falls from a height, h, on to the head of a typical I.B. student. Show that the change in I.Q. experienced by the student, as a result of the collision, is given, approximately, by