IIT JEE 2006, 1981: Newtons Law, SHM of Spring Mass System | Mechanics

Problem: System shown in the figure is in equilibrium and at rest. The string is massless and inextensible and spring is massless. The acceleration of the mass 2m and m just after the string is cut will be (IIT JEE 2006)
A. g/2 upwards, g downwards
B. g upwards, g/2 downwards
C. g upwards, 2g downwards
D. 2g upwards, g downwards

Problem: Two masses m1 and m2 are suspended together by a massless spring of spring constant k (see figure). When the masses are in equilibrium, m1 is removed without disturbing the system. Find the angular frequency and the amplitude of oscillation of m2. (IIT JEE 1981)