For unlimited access to Homework Help, a Homework+ subscription is required.
Two springs,with
force constantsk
1 and k
2 ,are connected in series, as
shown in the figure. Howmuch work is requiredto
stretch this system adistance xfrom theequilibrium
position?
In lecture we derive the effective spring constant,k, for a pair of springs in parallel:k=k1=k2. Here Calculate k for the case where the springs k1 and k2 are in series. You may assume that when the springs stretch, they act much like our ideal strings-that is, the tension in the spring is the same everywhere.
A block of mass m is connected to two springs of force constants k1 and k2 in the two ways as shown in the figure. In both cases, the block moves on a frictionless table after it is displaced from equilibrium and released. Show that the block exhibit simple harmonic motion with periods.