A tire in a monkey's zoo enclosure is suspended from two ropes, as shown. Rope 1 is horizontal and attached to a wall. Rope 2 makes an angle of 54.0 with respect to the ceiling. The tire has a mass of 11.0 kg. Both ropes are very light. Find the tension in rope 1 when the tire is at rest. Rope 2 Rope 1 O Part 1 of 5 - Conceptualize We are asked to find tension in rope 1. Because tension is the magnitude of a force, which is always a vector, tension must be a positive scalar. Therefore, we expect to find a positive numerical answer with SI units of newtons. When we apply Newton's second law, it is often best to start with a free-body diagram. Before sketching the free-body diagram here, we need to identify the forces exerted on the tire. Identify all the sources and forces that are exerted on the tire. (Select all that apply.) Source: Surface Force: Friction Source: Spring Force: Force that obeys Hooke's law Source: Surface Force: Normal force Source: Rope Force: Tension force Source: Earth Force: GravityA mobile is formed by supporting four metal butterflies of equal mass m from a string of length L. The points of support are evenly spaced a distance { apart as shown in the figure below. The string forms an angle 0, with the ceiling at each endpoint. The center section of string is horizontal. 101 L = 50 (a) Find the tension in each section of string in terms of 01, m, and g. (Order your answers from left to right.) T 1 T3 TA T5 (b) In terms of 01, find the angle 02 that the sections of string between the outside butterflies and the inside butterflies form with the horizontal. 02 (c) Show that the distance D between the endpoints of the string is D = 5 12 cos 0, + 2 cos [tan-1( tan , )] + 1}