Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m1 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is = a = 1.80 m/s², and the tension in the segment of string attached to this block is T₁. The hanging block has a mass of = m2 23.5 kg, and the tension in the string attached to it is T2. The radius of the pulley is r = 0.350 m and its moment of inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal. T₁ T₂ Ꮎ m₁ 2 (a) What is the tension force T₁? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T2? (Give your answer, in N, to at least three significant figures.) N (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T₁ and T2, the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.) I = (d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg • m².) . 2 kg m .

Physics for Scientists and Engineers: Foundations and Connections
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Chapter5: Newton's Laws Of Motion
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Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass
m1 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is
=
a = 1.80 m/s², and the tension in the segment of string attached to this block is T₁. The hanging block has a mass of
=
m2 23.5 kg, and the tension in the string attached to it is T2. The radius of the pulley is r = 0.350 m and its moment of
inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal.
T₁
T₂
Ꮎ
m₁
2
(a) What is the tension force T₁? (Give your answer, in N, to at least three significant figures.)
N
(b) What is the tension force T2? (Give your answer, in N, to at least three significant figures.)
N
(c)
Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T₁ and T2, the pulley
radius r, and the acceleration a. (Do not substitute numerical values; use variables only.)
I =
(d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg • m².)
.
2
kg m
.
Transcribed Image Text:Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m1 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is = a = 1.80 m/s², and the tension in the segment of string attached to this block is T₁. The hanging block has a mass of = m2 23.5 kg, and the tension in the string attached to it is T2. The radius of the pulley is r = 0.350 m and its moment of inertia is I. The incline plane makes an angle of 0 = 37.0° with the horizontal. T₁ T₂ Ꮎ m₁ 2 (a) What is the tension force T₁? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T2? (Give your answer, in N, to at least three significant figures.) N (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T₁ and T2, the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.) I = (d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg • m².) . 2 kg m .
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