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On one end of a pulley an object M = 5.42 kg and another object with a m = 3.46 kg. Assume the pulley and the rope to be massless, and ignore all friction effects. a) Find the acceleration of the system.b) Find the tension in the rope connecting m & M.

Question

On one end of a pulley an object M = 5.42 kg and another object with a m = 3.46 kg. Assume the pulley and the rope to be massless, and ignore all friction effects.
a) Find the acceleration of the system.
b) Find the tension in the rope connecting m & M.

check_circleAnswer
Step 1

The below represents the free body diagram of the pulley having mass on the either sides.

AT
m-3.46
M-S-42K9
mg
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Image Transcriptionclose

AT m-3.46 M-S-42K9 mg

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Step 2

(a)  Write the expression for net f...

1]
[2]
Mg T Ma
Т-mg %3D тa
Add 1 and 2
Mg mg = Ma+ma
(М -т)g - (М+т)а
(М-т)g [3]
а -
(M +m)
(5.42kg 3.46kg) (9.8m/s2
(5.42kg+3.46kg)
- 2.16m/s2
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Image Transcriptionclose

1] [2] Mg T Ma Т-mg %3D тa Add 1 and 2 Mg mg = Ma+ma (М -т)g - (М+т)а (М-т)g [3] а - (M +m) (5.42kg 3.46kg) (9.8m/s2 (5.42kg+3.46kg) - 2.16m/s2

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Science

Physics

Newtons Laws of Motion

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