Physics 16 Simple Harmonic Motion (18 of 19) Friction & Maximum Amplitude 1

In this video I will calculate A(max)=? for a smaller box not to slide off the bigger box that is attached to a spring.

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[PhysicsNinja]

Hi Michel, I love your videos but I think there's a problem with this solution. I'm they are oscillating together the total mass should me (m+M), which changes the angular frequency. Your final answer need to also depend on the mass M.

[ren]

If the Frictional force between mass "M" and "m" is much greater than the net force causing the object to undergo simple harmonic motion(SHM), will the small block "m" fall off towards the direction of SHM, in this case, towards the left as a result of it accelerating much greater than the net force causing the block "M" to undergo SHM? Will case such as this even exist?

I am just asking this because I don't why the frictional force experience by small block "m" can be still greater than the net force causing SHM of block "M" and not fall off...

[rahultiwari]

sir why did u use Hooke's law for the small block.Is it bcz it is also performing S.H.M.

[gandharmahadeshwar]

close, but not quite! m+M is correct indeed.

[MaherSalem]

Why dont we add the masses of both the blocks?

[bghadei]

Sir when a max is -kA/M then why the negative value is not used . In force inequality...
Thank you sir

[DarkKnight-twjx]

Why not add m+M?
Well if you find static friction of the surface will be
f=0.6×10×m
Max acceleration will be a´
F=ma to the small block
when F=f we get max acceleration
ma´=6m
a´=6ms^-2
Since this is a S.H.M
a=-w^2 .x
w=2(pi)f
w=3(pi)
Max acceleration will be at Amplitiude(A)
So 6=[3(pi)]^2.A
A=2/3(pi)^2=0.066m
A=6.6cm

[brandonthorpe]

This was an excellent example! I prefer it when the problems incorporate topics from the different sections! Thanks for your hard work!

[estefaniac]

This is a great example! I would like to know if I understood it correctly, we don't use the friction force that acts on M (between the two blocks) because we are only interested on seeing if m will slip or not, is that correct? Again thank you so much!

[فاطمةالضاحي-نخ]

Hi, could you please help me, I'm in need to this answer. Is the frequency and friction coefficient dependent or independent with each other

[gilbert]

If they told us that the little mass m is NOT dependent on the occilation friction .. Would that mean that the little mass does not feel the force from Hoocks law?

[chloeyim]

when the ap physics exam is in two days...

[calciumoxide]

For the equation F=ma, why do we use m instead M? Isn't the force F applied on the big block?

[lachimolalalala]

@3:52 Why didn't you put negative sign in it?
Thank you so much.

[rahultiwari]

sir why did u use Hooke's law for the small block.Is it bcz it is also performing S.H.M.

[aakashsingh]

sir Normal force is not the reaction force of mg ...Refer video at 1:49 ....

[ironuranium]

why are we considering the only m and not the M?