A pulley in the form of a uniform disk)
with mass 63 kg and a radius 20 cm is at-
tached to the ceiling in a uniform gravita-
tional field and rotates with no friction about
its pivot. The masses are connected by a
massless inextensible cord and T1, T2, and T3
are magnitudes of the tensions.
T3
20 cm
T2
63 kg
1
39 kg
T1
3.8 m
15 kg
2
What is the magnitude of the tension T?
The acceleration due to gravity is 9.8 m/s?.
Assume up is positive.
Answer in units of N.

Question

24-03-2022
Physics

contestada

A pulley in the form of a uniform disk)
with mass 63 kg and a radius 20 cm is at-
tached to the ceiling in a uniform gravita-
tional field and rotates with no friction about
its pivot. The masses are connected by a
massless inextensible cord and T1, T2, and T3
are magnitudes of the tensions.
T3
20 cm
T2
63 kg
1
39 kg
T1
3.8 m
15 kg
2
What is the magnitude of the tension T?
The acceleration due to gravity is 9.8 m/s?.
Assume up is positive.
Answer in units of N.

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-04-06T12:04:08+02:00

For a pulley in the form of a uniform disk with a mass of 63 kg and a radius of 20 cm, the magnitude of the tension T is mathematically given as

T1=292.4N

What is the magnitude of the tension T?

For 20kg

T1=196+20a

For

33kg

T2=323.4-33a

Generally, the simultaneous equation is mathematically given as

T2-T1=(323.4-33a)-(196+20a)

Hence

127.4-53.a

a=1.67m/s^2

T1=196+20(1.67)

T1=292.4N

In conclusion, the magnitude of the tension T

T1=292.4N