Quote:
Originally Posted by masraum
ok, so, wouldn't that be the gross F in the upward direction, and the gross force in the downward direction would be .92, 1.84, ...
So then wouldn't the net force be the mass * the acc which in this case is actually 2.42m/s^2? The Force of gravity down minus the Normal Force (the chain links holding the bottom links up) should cancel each other out and the net force would be the upward acceleration which is only 2.42?
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As I said 2 parts
static case, just hangeing there each link exerts a force to to counteract the force of gravity. up = down because it's not moving.
from lowest to highest
F = .094 * 9.8 = .9212N
F = 2 * .094 * 9.8 = 1.8424N
F = 3 * .094 * 9.8 = 2.7636N
F = 4 * .094 * 9.8 = 3.6848N
F = 5 * .094 * 9.8 = 4.606N
now add the imposed force that adds the additional 2.42m/s
2 acceleration
again from lowest to highest
F= .094 * 2.42 = .22784N
F= 2 * .094 * 2.42 = .45496N
F= 3 * .094 * 2.42 = .68244N
F= 4 * .094 * 2.42 = .90992N
F= 5 * .094 * 2.42 = 1.1374N
add the 2 components( I rounded in the previous response hence the dicrepancy)
.9212N + .22784N = 1.14904N
1.8424N + .45496N = 2.29736N
2.7636N + .68244N = 3.44608N
3.6848N + .90992N = 4.59472N
4.606N + 1.1374N = 5.7434N
It's a lot easier to do the math if you first add the acceleration components then multiply, but it can be done either way.