Two bodies of mass A = 8.5 kg and B = 94 kg are attached to the ends of a 3 m long weightless rod. This system is rotating about an axis passing through the midpoint of the rod. Calculate the moment of inertia of system(in units of kg. m2)
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- A child is playing with a 2.00 kg spinning toy (yo-yo) consisting of an axle connected to two disks, and a string looped around the axle, as shown below. The toy moves up and down as the toy winds and unwinds the string. It has a moment of inertia I = 2.72 X 10-4 kg-m2. At the time shown below, the toy is rotating with an angular speed w = 29.2 rad/s. The string is wound around the axel, whose radius is 2.50 cm. Find the total kinetic energy (rotational plus translational) of the toy as it moves up the string at that point.A thing solid cylinder has a mass 6.98kg and a length 1.66 m. What is its moment of inertia (in unit of kg.m2) when it is rotating as shown above? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.
- The three 160 g masses in (Figure 1) are connected by massless, rigid rods. a) What is the triangle’s moment of inertia about the axis through the center? b) What is the triangle’s kinetic energy if it rotates about the axis at 5.2 rev/srev/s ? Express your answer with the appropriate units.A cord is wrapped around the rim of a wheel 0.225 m in radius, and a steady pull of 41.5 N is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.50 kg m² 世 Provno copy please
- A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg. m² and is rotating at 12.0 rev/min about a frictionless vertical axle. Facing the axle, a 23.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round? rev/minJeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by ? = 8.5t2 + 0.650t + 1.75, where t is in seconds and ? is in radians. At t = 0 and at t = 1.50 s, what are the following? (a) angular position of the door ?(0) = rad ?(1.50) = rad (b) angular speed of the door ?(0) = rad/s ?(1.50) = rad/s (c) angular acceleration of the door ?(0) = rad/s2 ?(1.50) = rad/s2please help