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Three masses A=3 kg B=4 kg C=5 kg are connected by rods of negligible mass to form an equilateral triangle of side 8m as shown. Determine the individual moment of inertia and total moment of inertia of the system about axis XY.
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- y 11 P a aa- X If a = 4 in, determine the moment of inertia about the x-axis located at point P.The object shown below is centered on the origin, and has a width of 20 cm in the x direction, 3 cm in the y direction, and 5 cm in the z direction. Around which axis does it have the lowest moment of inertia l?of Sides a and b has a mass M. Four point-like balls, each of rnass m = each corner of the plate as indicated in the figure. What is the moment of inertia of this object if the axis of M are glued to rotation is through the end of one sidt, like a door, as indicated in the figure by the blue fine? (A) Isoor=M (a² + b²) (B) Isoor= M(a² + b) (C) Idoor M(a² + b*) (D) Isoor = }M(a²+8) (F) Isoor = Ma² %3D (G) Isoor Ma? %3D (H) Idor Ma² A rectangular plate with four umall point-like balls glued to each corner. The blue line represents the axis of rotation
- A thin rod of mass m and length 3R connects two spheres of mass m and radius R.Find the moment of inertia of the system about the axis at the midpoint of the rod and perpendicular to it. 3R R R m mFour 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⋅m2Three masses, each m = 12 kg, are located at the corners of an equilateral triangle. Calculate the moment of inertia of the system about an axis running through one of the point masses perpendicular to the plane of the triangle. The length of one side of the triangle is 0.94 m
- Physics Angular MotionTwo disks are initially spinning, one above the other on a small axle that provides a small, but non-negligible torque from friction, as shown in the figure below. Both disks have the same radius, R = 2.58 m. Disk 1 has a moment of inertia I1 = 9.8 kg⋅m2. Disk 2 has a moment of inertia I2 = 5 kg⋅ m2. Let vertically up be the z direction, such that counterclockwise rotation as viewed from above corresponds to positive values of the z-component. Disk 1 is initially spinning with a z-component of angular velocity ω1,z = 21 rad/s, and disk 2 is initially spinning with a z-component of angular velocity ω2,z = -15 rad/s. The z component of their common angular velcoity is 8.837 rad/s How much thermal energy is created in the process of disk 1 falling on disk 2 such that they reach a common final angular velocity? You do not need to worry about the gravitational potential energy because the initial separation of the disks is small. I get I need to use kinetic energy equations of 1/2*I*w2 but…A uniform thin rod of mass M = 3.55 kg pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass m = 0.291 kg, are attached to the ends of the rod. What must the length L of the rod be so that the moment of inertia of the three-body system with respect to the described axis is I = 0.845 kg-m² ? L = m L