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Imagine a 20" arm with the cart mounded in the middle...has that been tried before?
While I was not able to find out what the weight weighs, or what cart weight range it covers, I was able to make some assumptions. The standard SME IV accommodates carts from 5-16g. I assume that the "heavy" weight may cover greater mass carts, starting with some overlap, maybe say 13-XXg. I then measured the extent of the distance from the pivots to the counterweight center at each end of the range of adjustment. I won't lay out all the math gobble-de-gook here but at that point one has sufficient info to calculate out several unknowns, foremost the mass of the counterweights. The "heavy" counterweight as it turns out would be nearly 100g more than the standard. This makes me feel somewhat better about my plan to add approx 200g to my arm's bearing load, and maybe not end up too far outside the margin for error envelopes.
As a related point for extreme arcane knowledge credit, does anyone know if there's a spec for that change at those transitions? In other words, how fast or slow does the mastering engineer cause the lead velocity to go from about 5 thou/rev to 200 thou/rev? Anyone seen this? (or is this just inviting another groaner of a tale from Neo... )Cheers, John
100g additional seems like a lot of weight to accommodate a cart weighing 4 extra grams?Will the bearings for horizontal motion carry the same load as those for vertical motion? I guess you'll find out.
Hi Don,Maybe you've got a Townshend? with the fluid trough out at the cart end of the arm? That looks like one of the coolest setups ever. Easy on the g-word there... I'm not quite sure what I'd be looking for if I tried to judge arm damping by looking at that exit groove reaction. You of course want to see no jumping out of the groove and you want to see good stylus cantilever wiggle up in the very LF audio frequency band - but those two conditions could be very widely separated in terms of damping resistance applied. (plus my eyeballs don't work all that well at audio frequencies, nor are they calibrated there)Good luck! John
Roscoe, I have just one word......WOW!
Curious about the forward/backward placement of the weights on the right/left side of the arm. Would have thought it might be better to keep the weights aligned in the same plane. Can you elaborate a little on this decision?Thanks
Math for masses and locations versus effective mass: "Effective mass" of a tonearm/cartridge can be boiled down to an equivalency to a simple mass at the cart location on an otherwise massless arm. If an imaginary tonearm/cart had 10g of mass all concentrated only at the cart, then it would have 10g effective mass. If it ALSO had 10g of mass concentrated at a point half way along the armtube then that mass would move half as far for a given arm rotation making it half as effective, therefore it would contribute only 5g of effective mass at the cart. The total effective mass at the cart is therefore a sum of the effective mass at the cart location of ALL of the bits of the full tonearm/cart assembly. (the parts that move about the pivot axes anyway) Most arm manufacturers have calculated or measured the effective mass of their products, so all one needs to do is add the cart in directly to get the assembly effective mass number.Boiled down from other references, the arm natural frequency per mass-spring math is given by:fn=1000/[2*pi*square root(EM*C)]Where Frequency fn is in Hz; eff mass, EM is in grams; Cart compliance C is in micro-cm/dyne or microns/milli-NewtonStarting with some realistic like numbers: EM=12(tonearm)+8(cart)=20g; C=15(x10^-6) cm/dyneTherefore fn= 1000/[2*pi*sqrt(20*15)]=9.2Hz (in the range of 9-11Hz that most folks consider ideal)Next consider how any added masses might alter EM:dEM=M2*L2/L1Where dEM is the change in EM in grams; M2 is the added mass in grams; L2 is the distance of M2 from the pivot axis; L1 is the distance from the pivot to the cart. And of course the EM of the new assembly would be the original arm EM+dEM.Let's now work out an extreme case for added mass with those realistic numbers: As done above say for a particular arm/cart I've already calculated a natural frequency of 9.2Hz - in about the preferred range. By the argument in my first post in this thread I might want to, at the extreme, make the lateral natural frequency as low as 0.92Hz. Per the mass square root effect, I would need to make the lateral eff mass=10/1 squared or 100x as much EM or maybe approx 2000g of dEM. If we had an arm that was 9 inches long and were able to place masses about 2.5 inches either side of the pivot axis, the total of the two masses would need to be 2000*9/2.5=7200g or 16 lb. Not sure the bearings in any tonearm made would come at all close to supporting that kind of a load. The message from this example is that it might be challenging to get too much mass in the LATERAL direction.I next looked at the Morch website pictures for the DP-8 arm. Making very rough estimates, it looks like the side weights added up (2 each side) are maybe 1 inch dia by 1 inch long and may be about 2.5 inches off the axis. Assuming they may be brass (at about 0.3 lb/cu in) this leads to a total mass of about 215 grams. From the formula above, we would have a dEM of about 60 grams. When added to the original EM of 20, the new EM is 80g. Using the formula for fn, we can get fn=4.6Hz, or about half of the vertical plane fn. This could be quite an improvement in LF signal tracking - as listening test reports might suggest.In my next post I'll share some thoughts about what might be reasonable loads to subject a given tonearm to - and what I'm threatening to do to my formerly nice arm. Cheers, John