A particle of mass M = 150 g lies, initially at rest, on a fixed horizontal plane with no friction. The particle M is connected to another one, of mass M = 200 g. by an ideal wire, inextensible and of zero mass, which passes through a hole in the plane as in the figure below. The particle M is connected to the floor by a spring. When the particle M is at rest the spring is compressed by a length Azo = 19.6 cm. At time t = 0 the particle M is kicked in a direction perpendicular to the wire, in a way that it starts rotating without putting particle M into oscillation. Particle M starts rotating around the hole with a circular trajectory of radius R = 25 cm and angular frequency f = 0.5 turns/s. Olery M M (a) What is the tension exerted by the wire on particle M before time t = 0? (b) What is the spring constant? (c) After t = 0, is the spring compressed or extended? Find the value of this quantity, AT1. (d) What is the total mechanical energy after time t = 0? The particle M is at 1 m height over the floor. The resting length of the spring is 0.3 m. (e) At time t = t sand is poured on the top plane to induce friction. After having travelled for a trajectory of length d = 39 cm in a spiral trajectory, the particle M goes to rest on the plane. At this moment the spring compression is measured to be Ar2 = 18 cm. How much is the dynamic friction coefficient up between M and the plane?