A block P of mass m is placed on a horizontal frictionless plane. A second block of same mass m is placed on it and is connected to a spring of spring constant k , the two blocks are pulled by a distance A . Block Q oscillates without slipping. What is the maximum value of frictional force between the two blocks?

Step-by-step solution

We know that Angular frequency of the mass during S . H . M . is, ω = k m Here, ω is the angular frequency of SHM k is the spring constant m is the mass of the system So, Angular frequency of the system of particle is summation of all the masses in the system, i . e . , ω = k m + m = k 2 m For Friction force to be maximum, acceleration should be maximum, i . e . , F m a x = m a m a x Here, F m a x is Maximum frictional force between two block. We know that, maximum acceleration of the SHM is, ω