The following diagrams show thin meter sticks held by a student at various angles. A 1 kg mass is hung at diFFercnt locations along the meter stick. The meter sticks can be assumed to have a uniform density and are identical. The hanging masses are also identical. However, the hanging positions and angles of the meter stick vary from scenario to scenario. Rate each of the scenarios from least to greatest on the basis of the amount oftorquc created by the hanging mass. Least amount of torque Greatest amount of torque 1. 2. 3. 4. 5. 6. "I. In scenario A above, assume the thin meter stick has uniform density, a length of 1.0 m and a mass of 0.5 kg. Determine the following: The moment of inertia of the meter stick about the axis of rotation through the hand: The torque created by the hanging mass about the axis of rotation through the hand: The torque created by the meter stick about the axis of rotation through the hand: The amOunt of torque created by the meter stick about the axis of rotation thr0ugh the hand, if INSTEAD the meter stick in scenario A had a mass of 1 kg: The torque created by a 2-meter stick about the axis of rotation through the hand, If INSTEAD the meter stick in scenario A had a length of2 m (a 2-meter stick): The instantaneous angular acceleration of the meter stick, if the hand in scenario A were suddenly to break: The torque created by the hanging mass about the axis of rotation through the hand, if instead the angle in scenario A were 15 : 1. In the gure below, a 50.0 kg uniform square sign, of edge length L = 2.00 In, is hung from a horizontal rod of length db = 3.00 In and negligible mass. A cable is attached to the end of the rod and to a point on the wall at distance d,. = 4.00 In above the point where the rod is hinged to the wall. What is the tension in the cable? _-( 'uhlt' Hing:- RIKI ? | : H. Pam: ' DENTIST 2. Consider a rod of length I. and mass m with uniform density beginning as a straight rod and later bent into each of the following regular shapes. In each case, find the center of' mass of the shape relative to a coordinate axis where the object sits on the x- axis and is fully contained in the first quadrant. Assume that the original rod is bent into equal length segments for each object, for example, the sides of the triangle each have a length of U3 L and the sides ofthe pentagon each have a length U5 L, etc. (Aside: Do you see a pattern? Oddly enough if you keep going with this and extrapolate to a figure with ac sides, you can determine a formula for calculating pi.) A D O