moment of inertia relative to the center of mass of a smooth effort of length d with mass M shown in the figure is I=Md2/12. after 3 different masses are placed on the rod, find the rotational kinetic energy of the system, since the system rotates around the Y axis with the angular velocity

There is a circular disk of radius 0.5 m and mass 2 kg. A child throws down a rock, hitting the edge of the disk perpendicularly with a force of 50 N. Thedisk doesn't break, but starts to spin. If the moment of inertia for the circular disk rotating about the center is 1/2M(r^2), What is the tangential acceleration of a point on the disk 0.05 m from the point of impact?

You are trying to get a better feel for the effect of geometry and mass distribution on the moment of inertia. You have a solid disk and a thin ring, each of radius, r = 1.30 m, and mass, m = 73.0 kg. You mount both on fixed, horizontal frictionless axes about which they can spin freely. Then you spin them both. (a) How much work do you need to do to get each object to spin at 3.00 rad/s? (b) Let us assume that you have been causing them to spin by using a constant force applied tangentially to their circumferences. If the above speed is to be reached within 0.700 s, what is the magnitude of the force you need to apply to each object? (c) You next attempt to stop each object by pressing one finger on each side of each object, right at the outer edge. The coefficient of kinetic friction between each finger and the surface of each object is 0.300. Find the minimum force you have to apply to stop each object within 1.00 min.

A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I 0.5*MR?. (a) What is the magnitude of angular momentum of this turntable? Answer: 803.84 (b) What is the (magnitude of) the momentum of this turntable? Answer: 401.92 kgm2/s? X kgm/s? Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: 12.386 X rad/s

Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg-m². When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 1.01 m from the center, the angular velocity increases to 0.800 rad/s. What is the person's mass? m = i

Please answer E16,E17

The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.9 cm and a mass of 23 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.2 s the disk has an angular velocity of 270 rad/s counterclockwise. Force F1 has a magnitude of 0.0984 N. What is magnitude F2?