A block of mass M is on a frictionless surface as shown below. It is attached to a wall by 
two springs with the same constant K. Initially the block is at rest and the springs unstretched. The block is pulled a distance A and then released. (a) What is the speed of 
the block as it passes through equilibrium? (b) What is the angular frequency ω of the 
motion? (c) If the two springs were replaced by one spring so that ω remains the same, 
what would its spring constant have to be? (d) If the two springs were kept, what would 
the mass have to be so that it has the same ω as a system comprised of a single block of 
mass M and spring with stiffness K?

A block of mass m rests on a frictionless, horizontal surface and is attached to two springs with spring constant  and . It is displaced to the right and released. Find an expression for the angular frequency of oscillation of the resulting simple harmonic motion.

In the figure below, two identical springs of spring constant 7700 N/m are attached to a block of mass 0.250 kg. What is the frequency of oscillation on the frictionless floor?

A block of mass m is connected to two springs of force constants k 1 and k 2 in two ways as shown in Figure P15.45. In both cases, the block moves on a frictionless table after it is displaced from the equilibrium and released. Show that in the two cases the block exhibits simple harmonic motion with periods

a.  

b.