I was reading about the LM35 and i found this, he suggested that i must use shielding over long distances, which makes sense, but then he said i must add a capacitor and a resistor, why did he add them, is the shield considered a capacitive load? and how will this solve the problem, i tried searching RC damping and all the results were about mechanical engineering. And about the circled connection, it seems like a connection from the shield to the ground which is necessary, but i already did it on the other side of the shield ( the side of the power supply) should i do it again? In other words, should the shield be connected to the ground twice or once is enough?
For a remote passive or a device that is solely powered down the cable, the shield should be tied to ground where it has most impact on preventing noise getting into sensitive input circuits. The noise comes from the long length of cable and the shield/screen acts like a faraday cage to this noise and grounding this faraday cage right at the receiving end i.e. at the input receiving stage takes all this noise to ground. This is the best place but there are exceptions.
If you grounded the shield elsewhere (such as at the sending end) and left it unterminated at the receiving end you will get a noisy signal into your input circuit. Of course the dilemma occurs when your remote device is earthed. See this below: -
To avoid ground currents from other pieces of equipment contaminating the cable with unwanted earth currents you should use the capacitor at the receiving end - this attempts to minimize low frequency AC power currents circulating through the cable whilst giving a decent protection against RF induced noise.
Taken from here - Analog devices MT-095, EMI, RFI, and Shielding Concepts.
Regards the LM35's ability to drive into capacitors (coax cable or normal capacitors), there is a range of capacitance where the device will become unstable so you can either feed the output into a cable via a series resistor or shunt the output with a much larger capacitor in series with a resistor. In fact most op-amps exhibit this behaviour.