Calculate the center of mass acceleration of the cylinder rolling down the inclined plane in the below figure for the case of no slipping. Choose an axis that passes through the point of contact. Will need to determine the moment of inertia of the cylinder about this point. CM mg FP FN

Determine the rotational inertia of the device shown below. R = 0.50 m, r = 0.2 m, the mass of the box is 30 kg. When Fapp= 176 N, the box has an upward acceleration of 0.8 m/s2. Use g = 9.8 N/kg.

Edit question   Calculate the radius of gyration for the system of two tubes and a seat that form a swing with respect to the axis A shown in the figure. The dimensions of this system are shown in the figure below.The tubes have a mass of 19 kg/m. This means that each meter of tube has a mass of 19. Tubes can be thought of as slender rods.The seat has a mass of 23 kg and can be considered as a thin plate. Note that several views of the swing are offered so that you can better understand which is the reference axis A and the necessary dimensions. As you solve the problem, take into account that you are going to fill a table with the following format. It must be filled with the corresponding units.

The spool of cable has a mass of m and a radius of gyration of k. The tension in the cable T is a function of time t, when this in seconds. Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s? do T d₁ 0 = 60° Variable do d₂ h kc m T TEL Value 1m 0.5 m 2.25 m 0.77 m 100 kg 30t³ +77t N 1.81 s 1352 + 0) N h

I can't figure Part A