A man of mass 60.3 kg stands on a scaffold supported by a vertical rope at each end. The scaffold has a mass of 21.5 kg and is 2.3 m long. Suppose the man stands to the right from the middle of the scaffold that is a distance one sixth of the length of the scaffold. What is the tension in the right rope? Left Rope?Can someone please explain HOW you do this question!? Thanks!
the HOW is that if he moves 1/6 of the way to an end, then he's 1/3 of the way from that end and 2/3 of the way from the other end. The tension from the platform doesn't change, but the tension from the man on either rope is inversely proportional to his distance from either end; in other words, he's 1/3 of the way from the right end, so 2/3 of his mass goes to tension on that rope; he's 2/3 from the other end so 1/3 of his mass goes to tension on the left rope. the rest is just math!
this is a 2d concern. The moments approximately any component interior the gadget could desire to stability, in any different case the gadget (scaffold) might rotate. additionally, the vertical forces could desire to stability, or the gadget (scaffold) might translate. it style of feels to me that to the spectacular from the middle of the scaffold this is a distance one 6th of the dimensions of the scaffold is the comparable as announcing 2-thirds from the left-edge of the scaffold. The moments could be summed approximately any component. i will evaluate the left edge of the scaffold, the place the 2d produced by utilising the left rope is 0. finished M = 0 = scaffold M + guy M + spectacular rope M 0 = 23.7kg*9.8m/s^2*(3.1m/2) + 60.1kg*9.8m/s^2*(2*3.1m/3) - F*3.1m wherein: the scaffold is assumed to be a component mass placed at its middle the tension F acts opposite to the load of the guy and the scaffolding, and subsequently has -ve sign sparkling up for F. To get the tension in the different rope, you may basically evaluate the vertical forces interior the gadget. besides the fact that, you're able to desire to sum the moments approximately another component (say, the spectacular rope). desire this enables.
