Question

Problem 4 What is the principal dynamical significance of the center-of-mass of a multi-particle system, and what important assumption(s) do we make that makes it so? Problem 5 An objec the surface of the Earth. Neglecting friction, but taking into account the Earth's rotation, derive the expression for by how much, and in what direction, the object is deflected from the vertical when it strikes the surface. Use the method we followed in lecture for a similar problem, where we ignored friction and second-order effects. t of mass m is tossed vertically upward, reaches a height h and returns to

Answer 1

Problem 4 If a body moves translationally, the path of motion of all the partides of matter is mutually parallel and displacement of each particle of the body remains the same at any moment therefore the motion of any particle of the body expresses the motion of the whole body. But if the body is orbiting around an axis, then is rotational motion at any instant the linear displacement of different particle is not the so same instead as far the particle is away from the axis is linear displacement will be as large - Hence the motion of the body must be represented by all different partied separetly which will be complicated. To simplify this we assume a single point with the help of wich we can represent the motion of entire body. This point is such that mass of the entire body (or system of masses) is concentrated at that point One such point is called centre of mass