A mass is attached to a string that goes through the hole in a horizontal table as shown in the image below. Initially, the mass otates (without friction) around the hole along a circular trajectory of radius R1; its moment of inertia with respect to the vertical xis through the hole is l1. By pulling the string, we reduce the radius of the circular orbit to R2, and the moment of inertia pecomes l2. For each of the four physical quantities below, indicate whether the quantity increases, decreases, or stays constant when the nass moves from R1 to R2 by selecting the appropriate choice in the menu. You must select a response for each of the quantities, o you should have 4 selections total. There is partial credit enabled for this question. 1) The Moment of Inertia of the mass [ Select ] 2) The Angular Velocity of the mass [ Select ] 3) The Angular Momentum of the mass [ Select ] 4) The Kinetic Energy of the mass [ Select ]

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?

Two small weights of mass 5 kg and 10 kg are mounted 10 m apart on a light rod (mass can be ignored).Calculate the moment of inertia, I, for this system when rotated about an axis halfway between the two masses Use ∑I=m(r^2) for this system to calculate the moment of inertia.

I was wondering if I could have some guidance on a homework question. I was unable to find help, so I would just like some tips that point me in the right direction. Here is some background info: Setup For our dynamic measurement of the moment of inertia, we will use a vertically-mounted turntable that has a hub attached at its center, which has three grooves of different radius, around which one can wind a string. A mass hanging from the free end of the string provides tension, which exerts a torque on the turntable, thus causing it to rotate. By measuring the time it takes the mass to fall from its initial height to the table top (or some reference line just above it), we can find aa, its (linear) acceleration. From this we can calculate αα, the angular acceleration of the turntable. From the weight of the mass, and its linear acceleration, we can find T, the tension in the string. Once we know all these things, we can calculate the torque, ττ, and from τ=Iατ=Iα find I, the moment of…

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 m

Three 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

Find the moment of inertia Ihoop of a hoop of radius r and mass m with respect to an axis perpendicular to the hoop and passing through its center. (Figure 2) Express your answer in terms of m� and r�.

Please refernece attachment. See image for more information.

(a) Determine the centroidal polar moment of inertia of a circular area by direct integration. (b) Using the result of part (a), determine the moment of inertia of a circular area with respect to a diameter.

A large turntable rotates about a fixed vertical axis, making one revolution in 5.50s. A child of mass 32.0 kg, initially standing at the center of the turntable, runsout along a radius. When the child is 2.10 m from the center, the turntable makesone revolution in 6.70 s. What is the moment of inertia of the turntable? Note thatyou can treat the child as a point particle.