(i) A particle of mass m executes SHM in xy- plane along a straight line AB. The points A (a, a) and B (- a, - a) are the two extreme positions of the particle. The particle takes time T to move from one extreme A to the other extreme B. Find the x component of the force acting on the particle as a function of time if at t = 0 the particle is at A. (ii) Two particle A and B are performing SHM along X-axis and Y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions for the particles A and B are at the coordinate (3, 0) and (0, 4) respectively. At t = 0, B is at its equilibrium position and moving toward the origin, while A is nearest to the origin. Find the maximum and minimum distances between A and B during their course of motion

Answer

(i) `-(4pi^(2))/(T^(2)) ma cos ((2pi)/(T)t)`
(ii) 7 cm and 3 cm.