A system of point particles is shown in the following figure. Each particle has mass 0.23 kg, and they all lie in the same plane. 42 cm 29 cm axis 69 cm (a) What is the moment of inertia (in kg - m2) of the system about the given axis? | kg - m²

Four identical particles (mass of each = 0.40 kg) are placed at the vertices of a rectangle (2.0 m × 3.0 m) and held in those positions by four light rods which form the sides of the rectangle. What is the moment of inertia of this rigid body about an axis that passes through the mid-points of the longer sides and is parallel to the shorter sides? Group of answer choices 2.7 kg⋅m2 3.6 kg⋅m2 1.6 kg⋅m2 3.1 kg⋅m2 4.1 kg⋅m2

2. In the thin plate shown below, the material has a mass per unit area of 20 kg/m² (that is, instead of thinking of this as a volume with a thickness, we're just focused on the 2D area of the shape). What is the moment of inertia of this plate around the pivot point, O? 50 mm 400 mm 150 mm 150 mm 400 mm

Physics Angular Motion

Four objects are held in position at the corners of a rectangle by light rods as shown in the figure below. (The mass values are given in the table.) m, (kg) m, (kg) m₂ (kg) m (kg) 3.50 2.50 M3 3.50 4 1.90 m₁ y m2 6.00 m x 0 m m3 4.00 m i (a) Find the moment of inertia of the system about the x-axis. kg.m² (b) Find the moment of inertia of the system about the y-axis. kg.m² (c) Find the moment of inertia of the system about an axis through O and perpendicular to the page. kg.m²

A hoop, a solid cylinder, a solid sphere, and a thin, spherical shell each have the same mass of 4.70 kg and the same radius of 0.263 m. (a) What is the moment of inertia (in kg · m2) for each object as it rotates about its axis? hoop kg · m2 solid cylinder kg m2 solid sphere kg · m2 thin, spherical shell kg · m2 (b) Each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the translational speed at the bottom of the ramp for each object from highest to lowest. O solid cylinder > thin spherical shell > solid sphere > hoop O solid sphere > solid cylinder > thin spherical shell > hoop hoop > solid cylinder > solid sphere > thin spherical shell O thin spherical shell > solid sphere > solid cylinder > hoop (c) As in part (b), each object is rolled down the same ramp, each starting from rest at the same initial height. Each rolls without slipping. Rank the rotational kinetic energy at the bottom of the ramp for each…