Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass m1 = 18.5 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 = 24.5 kg, and the tension in the string attached to it is T2. The radius of the pulley is r = 0.390 m and its moment of inertia is I. The incline plane makes an angle of ? = 37.0° with the horizontal. (a) What is the tension force T1? (Give your answer, in N, to at least three significant figures.) (b) What is the tension force T2? (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 T1 and T2, the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.) (d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg · m2.)
Two blocks are connected by a lightweight string passing over a pulley, as shown in the figure below. The block with mass
on the incline plane accelerates up the plane with negligible friction. The block's acceleration is
and the tension in the segment of string attached to this block is
The hanging block has a mass of
and the tension in the string attached to it is
The radius of the pulley is
and its moment of inertia is I. The incline plane makes an angle of
with the horizontal.
(a) What is the tension force
(Give your answer, in N, to at least three significant figures.)
(b) What is the tension force
(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
and
the pulley radius r, and the acceleration a. (Do not substitute numerical values; use variables only.)
(d) What is the numerical value of the moment of inertia of the pulley? (Give your answer in kg · m2.)
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