Question
A block of mass m is attached by means of a spring of constant to a...
A block of mass m is attached by means of a spring of constant 
to a wedge of mass 
and height 
that forms an angle 
with the horizontal, as shown in the figure. Mass can slide on the horizontal surface. Note: don't consider friction.
a) Calculate the frequencies of small oscillations of the system around equilibrium.
b) Find and schematically draw the relative configurations of the normal modes corresponding to each frequency of the system.
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We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
We were unable to transcribe this image
M
Answers
We were unable to transcribe this imageT mg Sina - Kx = ma-m?acou zot CM+m) => mg sinak ma (Mtm)-m²a cosad (Mm) => mg sina - -kx = Mma tm²a sind (Mim) mg sinar-Ka = ma CM+m Sinood) (M+m) s ma (M+m Sinia) + kac CM+m) -masing = at Koc masina mo(M+ m Sinn) CM+m) m (Mumsin?a) Mim Constant at CMim) Ku mCM+msina) it with constant, Comparing equation cation d²x + o2x = dt² we get w= (Mt mit m (M+msin) CS Scanned with CamScanner(6) Therefore, Dięplacement me A cos (wt+) Where will of blow nim CS Scanned with CamScanner
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