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A student hangs three masses from a force table. If the first mass of 172g is at an angle of 184 degrees, and she then hangs a mass of 248g at 259 degrees, calculate the mass and angle of the third mass so that ring on the force table is in equilibrium. Assume the given masses include the mass of the hangers.

Question

A student hangs three masses from a force table. If the first mass of 172g is at an angle of 184 degrees, and she then hangs a mass of 248g at 259 degrees, calculate the mass and angle of the third mass so that ring on the force table is in equilibrium. Assume the given masses include the mass of the hangers.

check_circleAnswer
Step 1
As the mass es
hangs from the force table the tensions
the string wil be eaual to mg The strings
develo ped in
on the force table wi be as shown belouo
m3
4-
TI 129
(84
02 259
03=03
T48)
help_outline

Image Transcriptionclose

As the mass es hangs from the force table the tensions the string wil be eaual to mg The strings develo ped in on the force table wi be as shown belouo m3 4- TI 129 (84 02 259 03=03 T48)

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Step 2
are choosed Such that affen plasiny ma
maand
at
3f EF o then ER2o and E Fyo
EFxo
729 cos (184t (2489) Cos(259) + m3? cos 632a
218-
Fauation
M3 Cos 63
help_outline

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are choosed Such that affen plasiny ma maand at 3f EF o then ER2o and E Fyo EFxo 729 cos (184t (2489) Cos(259) + m3? cos 632a 218- Fauation M3 Cos 63

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Step 3
C()Sin tea)(4 8g) (sin2 52) + m3g sine o
Σ0
Eομαίοη@ .
m3 sin 255.44
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C()Sin tea)(4 8g) (sin2 52) + m3g sine o Σ0 Eομαίοη@ . m3 sin 255.44

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