The figure shows three 0.0114 kg particles that have been glued to a rod of length L= 5.70 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?

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

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)

A net torque is acting on the two particles shown in the figure for two seconds. Given the information below: (a) Calculate the magnitude and direction of the net angular momentum of particles A and B about the origin point O. (b) Then find the net torque acting this system about point O. mĄ = 6.2 kg тв 3D 3.1 kg VA = 1.2 m/s %3D Vв 3D 2.6 т/s ri = 1.5 m r2 = = 2.7 m VB A

Shown below is a small particle of mass 35 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of a uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.4 kg and a radius of 12 cm and is initially at rest. 10 m/s Before After (a) What is the angular velocity (in rad/s) of the system after the collision? (Indicate the direction with the sign of your answer.) rad/s (b) How 'much kinetic energy (in J) is lost in the collision? 1.56 X J

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 =

Shown below is a small particle of mass 27 g that is moving at a speed of 10 m/s when it collides with and sticks to the edge of uniform solid cylinder. The cylinder is free to rotate about the axis through its center and perpendicular to the page. The cylinder has a mass of 0.3 kg and a radius of 14 cm and is initially at rest. 10 m/s Before After (a) What is the angular velocity (in rad/s) of the system after the collision? (Indicate the direction with the sign of your answer.) X rad/s (b) How much kinetic energy (in J) is lost in the collision? J

Please answer E16,E17

A wheel consists of a rim (ring) with a mass of 1.3kg and a radius of 0.45m and four equally-spaced spokes (rods) that run from the center of the wheel to the edge of the rim. Each spoke has a mass of 0.15kg and a length equal to the radius of the wheel. What is the total rotational inertia of the wheel about its center?