The figure shows three 0.0196 kg particles that have been glued to a rod of length L=5.78 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 wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.

A uniform spherical shell of mass M = 6.0 kg and radius R = 18.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 3.60×10-3 kg m2 and radius r = 6.0 cm, and its attached to a small object of mass m = 4.0 kg. There is no friction on the pulley's axle; the cord does not slip on the pulley. What is the speed of the object after it has fallen a distance h = 1.1 m from rest: Use work - energy considerations

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

In the figure here, three particles of mass m = 0.017 kg are fastened to three rods of length d = 0.15 m and negligible mass. The rigid assembly rotates about point O at angular speed w = 0.55 rad/s. About O, what are (a) the rotational inertia of the assembly, (b) the magnitude of the angular momentum of the middle particle, and (c) the magnitude of the angular momentum of the assembly? M (a) /= i (b) L₂ = i (c) Ltot 0 m

A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance dd from the center of the wheel. The wheel begins to roll to the right along the x-axis. The curve traced out by P is given by the following parametric equations:x(θ)=11θ-7sin(θ)y(θ)=11-7cos(θ)R=d=

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? Axis m m (a) Number i Units (b) Number i Units >