How do I do that though? I calculated df/dM from f = sqrt
(M/k)/2pi to get (1/4kpi)*sqrt(M/k)*(k/M) but I don't know where to go with this. Did I do the right thing? I know I'm missing a key piece in my understanding but I can't figure out the connection.
Homework Statement
It has recently become possible to "weigh" DNA molecules by measuring the influence of their mass on a nano-oscillator. Figure shows a thin rectangular cantilever etched out of silicon (density 2300 {\rm kg/m^3}) with a small gold dot at the end. If pulled down and...
Homework Statement
A 200 g, 42.0-cm-diameter turntable rotates on frictionless bearings at 56.0 rpm. A 20.0 g block sits at the center of the turntable. A compressed spring shoots the block radically outward along a frictionless groove in the surface of the turntable.
What is the...
Homework Statement
A hollow spherical shell with mass 1.50 kg rolls without slipping down a slope that makes an angle of 39.0^\circ with the horizontal.
a) Find the magnitude of the acceleration a_cm of the center of mass of the spherical shell.
b) Find the magnitude of the frictional...
Homework Statement
A 14 kg box slides 4.0 {\rm m} down the frictionless ramp shown in the figure , then collides with a spring whose spring constant is 210 N/m.
a)What is the maximum compression of the spring?
b)At what compression of the spring does the box have its maximum...