What is the tension in the rope nearer the 669N worker when he stands 1 m from one end? Find the tension in the cable. Answer in units of N.The...

Here the weight of worker and the scaffold are already specified in N. Therefore I assume that weight refers to force exerted due to gravity, which equals mass multiplied by acceleration of gravity.

The two ropes support the weight of scaffold plus the weight of the worker.

The weight of the scaffold will be supported equally by the two ropes. However, weight of the worker supported by each worker will be shared in inverse proportion of distance of the worker from the ropes.

Let us name the two ropes as rope A, which is nearer to the worker, and rope B. Distance of worker from rope A = 1 m

Then distance of worker from rope B

= (Length of scaffold) - (Distance of worker from rope A)

= 3.08 - 1 = 2.08 m

Then the weight of worker (669 N) supported by rope A

= 669*(2.08/3.08) = 451.79 N

And weight of worker supported by rope B = 669 - 451.79 = 217.21 N

Weight of scaffold supported by each of rope A and B =262/2 131 N

Therefore total weight supported by rope A = 451.79 + 131 = 582.79 N

And total weight supported by rope B = 217.21 + 131 = 348.21 N

Answer:

Tension in rope nearer to worker = 582.79 N

and tension in other rope = 348.21 N