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well without mathamatics there are two options.1)Build your robot without fussing about the weight and modify the box you want to carry to go with the strenght of the bot2)Ge the best parts you can afford and build the bot a strong as you cab make it.if you really want to mathamatics i'll need more info about what you intend on using.keep us up to date and we'll figure something out.
I think the people in this forum are really nice.. in an AVR forum that I used to hang out, the people are very strict with beginners especially those who start out with questions such as these, akin to "help me start my project". Here you guys still help out the people regardless.Anyway, here's what you need to figure out, the weight of the box, friction coefficient, and in which direction you want to move it.If you want to push it for example, say the weight to be F1, friction force to be F2, you will need forward motors that can give a push force of greater than or equal to the friction force and hopefully has an upward force not to smaller than F1, if not greater.If you want to lift it fo example, say the weight to be F1 and friction force to be F2, you will need a servo for the arm that can give a lift force greater than F1.given that torque = lever arm * Force * sin(angle between force and lever arm)So if say you know the weight to lift the box is F3, and the length of your arm is R1, then say for angle of 90 degrees then the torque of a servo that you need is F3*R1 and the servos that can be bought specify the amount of torque.Hope that helps
Torque is rotational force. It is how much force the servemotor can output in it's axis of rotation. To calculate the torque you need, you need to know how much the arm and all the hardware weighs, the weight of the box and the weight of the contents of the box or the servo will not turn. In so far as the push and pull, I guess you will need to also know the friction coefficient of the box and the surface it will be resting on. If at all possible, make the bottom of the box out of teflon or use teflon tape LOL . Ok now back to the box issue. This customized box, who will be making it? If you are going to be making, then I would figure out what the max load on the box is and use that. Without more information I am not sure how much more I can help.