A woman sits in a rigid position on her rocking chair by keeping her feet on the bottom rung at B. At the instant shown, she has reached an extreme backward position and has zero angular velocity. Determine her forward angular acceleration a and the frictional force at A necessary to prevent the rocker from slipping. The woman and the rocker have a combined mass of 90 kg and a radius of gyration about G of kg = 0.45 m. 0.2 m 0.48 m

A centrifuge rotor rotating at 9300 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 1.66 m⋅N. If the mass of the rotor is 4.58 kg and it can be approximated as a solid cylinder of radius 0.0440 m, through how many revolutions will the rotor turn before coming to rest? Express your answer to three significant figures.   How long will it take? Express your answer to three significant figures and include the appropriate units.

A solid cylinder of radius 13.0 cm rolls down an incline with slipping. The angle of the incline is 25°. The coefficient of kinetic friction on the surface is 0.451. What is the angular acceleration (in rad/s2) of the solid cylinder? (Enter the magnitude.) rad/s² What is the linear acceleration (in m/s2)? (Assume v> ar. Enter the magnitude.) m/s²

Macmillan l A motorized wheel is spinning with a rotational velocity of wo = 1.81 rad/s. At t = 0s, the operator switches the wheel to a higher speed setting. The rotational velocity of the wheel at all subsequent times is given by w (t) = woarctan (c + b1²) where c = 1.5574 and b = 6.09 s-². At what time tamax is the rotational acceleration at a maximum? tamax = What is the maximum tangential acceleration a, of a point on the wheel a distance R = 1.29 m from its center? a₁ = What is the magnitude of the total acceleration of this point? a = ms m/s² m/s²