Question
Asked Oct 19, 2019
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What's the tension on Rope 1?

14) The figure shows two 1.0 kg blocks connected by a rope. A second
rope hangs beneath the lower block. Both ropes have a mass of 250 g. The
entire assembly is accelerated upward at 2.3 m/s2 by force F. What is the
tension at the top end of rope 1?
8/11
F
Rope
Rope 2
A) 2.9 N
B) 15 N
C) 18 N
D) 3.5 N
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14) The figure shows two 1.0 kg blocks connected by a rope. A second rope hangs beneath the lower block. Both ropes have a mass of 250 g. The entire assembly is accelerated upward at 2.3 m/s2 by force F. What is the tension at the top end of rope 1? 8/11 F Rope Rope 2 A) 2.9 N B) 15 N C) 18 N D) 3.5 N

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Expert Answer

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Step 1

Given information:

Mass of the blocks (M) = 1 kg

Mass of the rope (m) = 250 g = 250 × 10-3 kg

Acceleration up wards (a) = 2.3 m/s2

Tension in the rope1 (T1) =?

Let Tension in the rope2 = T2

Step 2

Free body diagram of the system:

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T1 mg Mg T2 mg From the free body diagram of the rope 2: T2-mg ma T2 m (ga) 0.25 (9.81 +2.3) 3.02 N LL

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Step 3

Now consider the free body diagram ...

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Ti mg MgT2 (Mm) a TI m g Mg T2 Ti 0.25 (9.81 +2.3)1(9.81 +2.3)3.02 N 12.11 6.04 T1 18.15 Nz 18 N

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