A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 4.21 mm. Two strings are wrapped around the axle, and the top is set spinning by applying T = 3.15 N of constant tension to each string. If it takes 0.440 s for the string to unwind, how much angular momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. L = Point P is located on the outer surface of the top, a distance h = 33.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 17.0°. If the final tangential speed u, of point P is 1.75 m/s, what is the top's moment of inertia I? I= kg.m² S || kg.m² T 2r R 2r SP T T

Dr. H's daughter likes to empty out boxes of soda and roll the soda cans across the floor. One can of soda has a mass of 0.405 kg and goes rolling across the floor with a speed of 1.3 m/s. If the can is modeled as a solid cylinder with a diameter of 6.6 cm, what is the total kinetic energy of the can as it rolls without slipping? |Axis Thin hoop, radius R Through center MR? JAxis Thin hoop, radius R width w Through central diameter MR? + Mw? |Axis Solid cylinder, radius Ř Through R center |Axis Hollow cylinder, inner radius R, outer radius R, Through R center JAxis Uniform sphere, radius R Through center MR? Axis Long uniform rod, length e Through center Me Axis Through Long uniform rod, length e Me end

Three children are riding on the edge of a merry-go-round that is a disk of mass 96 kg, radius 1.1 m, and is spinning at 22 rpm. The children have masses of 20.4 kg, 26 kg, and 35 kg. M = 96 kgm1 = 20.4 kgm2 = 26 kgm3 = 35 kgr = 1.1 mf = 22 rpm A.  What is the moment of inertia of the merry-go-round plus the children in kg⋅m2?  B.  If the child who has a mass of 26 moves to the center of the merry-go-round, what is the new moment of inertia in kg⋅m2?  C. If the child who has a mass of 26 kg moves to the center of the merry-go-round, what is the new magnitude of angular velocity in rpm?

A yo-yo is constructed of two brass disks whose thickness b is 8.5mm and whose radius R is 3.5cm, joined by a short axle whose radius Ro is 3.2mm. A. What is the rotational inertia about its central axis? Neglect rotational inertia of the axle. The density p is 8400kg/m^3. B. A string of length l=1.1m and of negligible thickness is wound on the axle. What is the linear acceleration of the yo-yo as it rolls down the string from the rest?