The figure shows three 0.0176 kg particles that have been glued to a rod of length L=6.16 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis m d p.

The figure shows three 0.0172 kg particles that have been glued to a rod of length L=6.24 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number i (b) Number Axis Units Units |--d- m d m -d m

In the figure, two particles, each with mass m = 0.78 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.5 cm and mass M = 1.3 kg. The combination rotates around the rotation axis with angular speed ω = 0.32 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy?

The figure shows three 0.0186 kg particles that have been glued to a rod of length L=5.67 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? Axis (a) Number Units (b) Number Units

In the figure, two particles, each with mass m = 0.84 kg, are fastened to each other, and to a rotation axis at O, by two thin rods, each with length d = 5.6 cm and mass M = 1.0 kg. The combination rotates around the rotation axis with angular speed w = 0.28 rad/s. Measured about O, what is the combination's (a) rotational inertia and (b) kinetic energy? (a) Number 8 M Rotation axis (b) Number i M m Units Units

Solid spheres have a rotational inertia about an axis through their center of mass given by I = 2/5 M R2, where M is the mass of the sphere and R is the radius of the sphere.  Consider a particular sphere of radius 1.2 m made out of a material of density 300 kg/m3.  Using the parallel axis theorem, calculate the rotational inertia of the sphere about a parallel axis shifted 0.33 m away from the center. (Please answer to the fourth decimal place - i.e 14.3225)

The figure shows three 0.0146 kg particles that have been glued to a rod of length L-5.58 cm and negligible mass. The assembly can rotate around a perpendicular axis through point O at the left end. If we remove one particle (that is, 33% of the mass), by what percentage does the rotational inertia of the assembly around the rotation axis decrease when that removed particle is (a) the innermost one and (b) the outermost one? (a) Number (b) Number Axis Units Units 0 m m m |a+d+d+

A baseball has a mass of 0.15 kg and radius 3.7 cm. In a baseball game, a pitcher throws the ball with a substantial spin so that it moves with an angular speed of 41 rad/s and a linear speed of 34 m/s. Assuming the baseball to be a uniform solid sphere, determine the rotational and translational kinetic energies of the ball in joules. KErotational = KE translational =

A 20-kg piece of steel pipe that is 20 cm in diameter, 80 cm long, and 1 cm thick is rolling toward you at a speed of 3.0 m/s.   (a)What is the magnitude and direction of the pipe’s angular velocity vector w?   (b)What is the pipe’s rotational energy?  (c) What is its total energy K + Urot?

Please answer E16,E17