Forces (1) A 50 kg mass is suspended using ropes as shown. Find the tension in e

Question

Forces (1) A 50 kg mass is suspended using ropes as shown. Find the tension in each rope rope #2 (2) Free body diagrams. Each situation contains l draw a free body diagram identifying and labeling all forces acting on it. Lines represent ropes. Assume the mass of the ropes is small and can be neglected and that there is no friction. Note that separate forces need to have unique symbols (thus the weights of mi and m2 can't both be labeled "w" or "mg" "w and "w" or "mg" and "mg" would be good labels). labeled masses. For each object, a) b) m is pulled by the rope and accelerating upwards. The masses lie on the floor. ma is being pushed by force F. Draw separate diagrams for the blocks c) d) The entire assembly is accelerating downwards. The ropes are attached to the ceiling and taut. g) m2 mi Friction is holding the mass in place.

Explanation / Answer

1] Let tension in rope1 be T1 and in rope 2 be T2

By balancing force in vertical,

T2 sin 53 degree = mg = 50*9.8

T2 = 50*9.8/ sin 53 degree

= 613.5 N

now T1 = T2 cos 53 degree

= 613.5* cos 53 degree

= 369.2 N

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