Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, = 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is a = 1.80 m/s2, andthe tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 23.5 kg, and the tension in the string attached to it is T,. The radius of the pulley is r = 0.330 m and its moment of inertia is I. The incline planemakes an angle of 0 = 37.0° with the horizontal.TT(a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.)(b) What is the tension force T,? (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 T, and T,, 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.)kg. m²

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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 m, - 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is a - 1.80 m/s?, and the tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 23.5 kg, and the tension in the string attached to it is T,. The radius of the pulley is r= 0.330 m and its moment of inertia is I. The incline plane makes an angle of 0- 37.0° with the horizontal. 16 (a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T, and T,, 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 •m4.) kg - m?

Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m, - 17.5 kg on the incline plane accelerates up the plane with negligible friction. The block's acceleration is a - 1.80 m/s?, and the tension in the segment of string attached to this block is T,. The hanging block has a mass of m, = 23.5 kg, and the tension in the string attached to it is T,. The radius of the pulley is r= 0.330 m and its moment of inertia is I. The incline plane makes an angle of 0- 37.0° with the horizontal. 16 (a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) N (b) What is the tension force T,? (Give your answer, in N, to at least three significant figures.) (c) Find a symbolic expression for the moment of inertia of the pulley in terms of the tensions T, and T,, 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 •m4.) kg - m?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 26P: In a tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace...

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Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:

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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 m, = 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 T,. The hanging block has a mass of m, = 23.5 kg, and the tension in the string attached to it is T,. The radius of the pulley is r = 0.330 m and its moment of inertia is I. The incline plane
makes an angle of 0 = 37.0° with the horizontal.
T
T
(a) What is the tension force T,? (Give your answer, in N, to at least three significant figures.)
(b) What is the tension force T,? (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 T, and T,, 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.)
kg. m²

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