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 .
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
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 35PQ: A black widow spider hangs motionless from a web that extends vertically from the ceiling above. If...
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