Blocks A and B weigh 25 lbs and 10 lbs, respectively, and they are both at a hei

Question

Blocks A and B weigh 25 lbs and 10 lbs, respectively, and they are both at a height of 12 ft above the ground when the system is released from rest. Just before hitting the ground, block A is moving at a speed of 9 ft/s

Determine the tension in each portion of the cord during the motion. (Round the final answers to three decimal places.)

(You must provide an answer before moving to the next part.)

The tension in the portion of the cord connected to the block A is ____ lb.

The tension in the portion of the cord connected to the block B is ____ lb.

Explanation / Answer

here,

height , h = 12 ft = 3.6576 m

final speed , vf = 9 ft/s = 2.7432 m/s

let the accelration of the blocks be a

vf^2 - vi^2 = 2 * a * h

2.7432^2 - 0 = 2 * a * 3.6576

a = 1.03 m/s^2

wA = 25 lbs = 111.1 N and mA = 11.34 kg

wB = 10 lbs = 44.54 N and mB = 4.54 kg

let the tension in A be tA

mA * g - tA = mA * a

11.34 * 9.8 - tA = 11.34 * 1.03

tA = 99.45 N = 22.36 lbs

let the tension in B be tB

tB - mB * g = mB * a

tB - 4.54 * 9.8 = 4.54 * 1.03

tB = 49.2 N = 11.06 lbs

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