Answer Happy

Q2. A spacecraft of mass M with velocity Vj encounters a stream of dust particles which have velocity vo (cosi + sin(), where to is a constant, for time T. A constant mass b of the dust particles enter the craft per unit time. [Ignore gravity] (a) Find out the equations of motion of the spacecraft. (b) Find out the velocity of the spacecraft as a function of time. Q3. A mass-spring system of mass M and spring constant k, as shown in the figure below, is at rest. At t=0, a chunk of mass breaks off and a fraction of the initial mass M, say nM, remains attached to the spring. If the mass moves in the vertical direction, and at t = 0, the mass is at equilibrium position, y = 0, determine the following: