Springs, Masses, and Friction oh mY

• bpw91284
In summary, we have a block of mass 5.5 kg attached to a wall by a horizontal spring with a stiffness constant of 150 N/m. Another block of mass 1.32 kg rests on top of the first block, and the coefficient of static friction between the two blocks is 0.36. What is the maximum amplitude of oscillation that will prevent the top block from slipping off the bottom block? To solve this, we use the equations F_spring=kx, F=ma, and F_friction=u*F_n to find the maximum displacement x, which is the amplitude of oscillation. By equating the force of friction and the spring force at maximum displacement, we can find the value of x

Homework Statement

A block with mass M = 5.5 kg rests on a frictionless table and is attached by a horizontal spring (k = 1.5E2 N/m) to a wall. A second block, of mass m = 1.32 kg, rests on top of M. The coefficient of static friction between the two blocks is 0.36. What is the maximum possible amplitude of oscillation such that m will not slip off M?

Homework Equations

F_spring=kx
F=ma
F_friction=(coeff friction)(normal force)=u*F_n

The Attempt at a Solution

So for the block to slide the force of friction must be equal too/less than the force imparted from the spring accelerating the blocks.
F_a=F_spring
Ma=u*m*g
a=#

The F_accel must equal the spring force at the peak (accel will be highest then)
F_a=F_spring=kx, where we can find the value of F_a, but we don't know the values of k or x.

I tried applying some engery type eqns like E=0.5kA^2 or E=KE+PE but we don't know any amplitudes, velocities, etc.

Help,
Brandon

See, youre given k and youre given the coeff of friction and the masses. So you can find the frictional force. This must be equal to the spring force as you said (max displacement). From there you can find x, which is your amplitude.

chaoseverlasting said:
See, youre given k and youre given the coeff of friction and the masses. So you can find the frictional force. This must be equal to the spring force as you said (max displacement). From there you can find x, which is your amplitude.

Wow, forgot I was given "k". Don't have time now but will look at it later.

Thanks,
Brandon