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Champions of Equestria

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Silver_lining
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@ABronyAccount  
Though this debate may be a year old, I’ll go ahead and add a new argument: note that Applejack was bracing herself against the ground in that gif. That’s another key part of lifting: having proper leverage.
 
You remember that scene in The Incredibles when Bob Parr was lifting trains using chains? Notice how the chains connected to a sort of pulley system above Bob? Unless Bob is heavier than the trains or is firmly anchored to something heavier than the trains, he wouldn’t have been able to lift them up like that. It’s not that he wasn’t strong enough, it’s that pulling on the chains the way he did would just lift him up into the air. When two bodies exert a force upon each other, the heavier body wins out. Just because you’re strong enough to move an object of particular weight doesn’t mean you’re heavy enough to force that object to move around you.
 
Another way to think of this is to compare bench-pressing to pull-ups. When you bench press, you’re pushing against the barbell using your muscles. Your body is braced against the Earth which is much, much heavier than the barbell. If you tried bench-pressing while, say, floating in the air, you’d just push yourself downwards, unless you happen to be heavier than the barbell. Meanwhile, when you do pull-ups, you’re acting against the weight of whatever the pull-up bar is braced to, which most of the time will effectively be the Earth as well. You are much lighter than the building or planet your bar is connected to, thus the acting force - your muscles - serve to move you rather than the bar.
 
So, in the case of AJ and the boulder, part of the reason she was able to knock it away is because she was braced against the ground. If she had tried that on a boulder in the air, she would have just launched herself away from it instead, because I guarantee you she is much lighter than the boulder. Also take note that Applejack was acting against a gently rolling boulder as opposed to, say, a boulder flying through the air at projectile velocity, like it did after she kicked it away. The velocity of an object multiplies the effective weight it exerts upon opposing bodies; your legs have to be strong enough to withstand hundreds of pounds of pressure psi, as that’s the kind of pressure your body puts on your legs after a jump (this is why falling just 10 feet can break your legs; 10 feet × say, 150 lbs = 1500 lbs of force being exerted on your poor legs). If AJ had tried to stop a boulder moving at projectile speeds, she would have been smashed into an Apple-flap-jack.
 
Now, when talking about the idea of breaking ropes, vines, or other bindings simply by spreading your limbs apart, it’s important to understand a couple facts:
 
  1. You’ll be relying almost entirely on your shoulders, pecs, hips, and glutes. Your biceps are unlikely to serve much of a role in breaking your bonds, your abs definitely won’t unless you’re trying to break a hogtie, and your quadruceps definitely won’t unless you’re hogtied, chair-tied, or pole-tied.
     
  2. A given length of rope can multiply its tensile resistance by the number of coils, as you have to act against, at minimum, two points in the rope’s length to break the rope. Each coil then provides an additional two points of resistance, one of which in turn also interacts with the prior point of resistance from the previous pair of points, thereby multiplying the tensile resistance further. 2 coils = 4 points = 3 times the resistance.
     
    Let’s say you have a rope capable of withstanding 10 pounds of pressure between two given points; wrap 10 coils around the subject, and the rope will have 20 points of resistance acting against the subject. Now, any two points in that rope exert a resistance of 10 pounds. Using the formula I just wrote out, that equates to 150 lbs of resistance. And that’s just a rope designed to resist 10 pounds at the most; rope properly weight-rated for heavy cargo can withstand upwards of 100 pounds (which, using my previous formula, would amount to 1500 total lbs of effective resistance). Also consider that the farther out you go along your extremities, the more strength your muscles require to exert an effective force. This is why it’s easier to pin someone’s arms by binding their wrists and forearms than, say, their upper arms.
     
    Now consider in this scene that Dashie is tied up in, at minimum, 18 coils (yes, I counted). Assuming those are the kinds of vines her kind have been observed swinging on in other episodes, which are thus able to support around 100 pounds of pony, the vine cocoon she’s wrapped in exerts a minimal resistance of around 1,350 lbs, spread across her torso and legs. Assuming it’s split about even, that’s 675 lbs each half.
     
    Is Dashie strong enough to break free of 675 lbs using just her shoulder and hip muscles (and maybe her wings, since they’d presumably act against the vines around her upper body as well)? I sincerely doubt it. Applejack couldn’t break free of a few coils binding her to a tree or lamp post. Assuming she’s all around the strongest of the Mane Six, that means she couldn’t break out of such a cocoon either.
     
    This was Silver-Lining, spending an hour or two of his Tue-Wed midnight explaining the mathematics of G-rated bondage in a cartoon about magical talking horses designed to sell toys, in response to comments from last year. What am I doing with my life…?
Silver_lining
Artist -

@ABronyAccount  
In that case: Earth Pony vs. Pegasus. Earth Ponies are established as the physically strongest of the three species. And even they would have trouble breaking free of a binding cocoon for the reasons I listed previously.
Silver_lining
Artist -

@ABronyAccount  
You mean the human Applejack with a magic stone that grants super strength? And even without taking the Geode of Strength into account, lifting involves not only pectoral muscles but also dorsal, abdominal, and leg muscles. If you tried to snap ropes binding your arms, you could only use your pectorals, deltoids, and trapezii, not your abs or quadruceps. Same goes for your legs; if you wanted to break ropes binding your ankles and thighs, you’d need some superhumanly strong hip muscles to spread your legs and counteract the tensile resistance being exerted all the way up and down.
 
In short, trying to break free of bindings around your limbs is a lot harder than lifting a heavy object because you can’t use nearly as many muscles.
Silver_lining
Artist -

@DragonBoi471  
You ever seen a world class athlete snap ropes (or vines that are presumably strong enough to function as ropes) while bound shoulders to ankles in them? To break free of such thorough bindings would require herculean pectoral and deltoid muscles, far beyond what humans (or presumably ponies) are physically capable of. Dashie may be athletic, but she’s nowhere near strong enough to break a coccoon of ropes or vines that are binding her entire body.
DragonBoi471
Duck - Does Anypony Else even feel like Reading What I Say?
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*Durgon Noises*
Seriously, why does this always happen whenever Rainbow Dash goes on adventures with Daring Do? What happened to her “World Class Athlete” strength?