A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2 (a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s) (b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s). (c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).
A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2 (a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s) (b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s). (c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).
A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2
(a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s)
(b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s).
(c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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