Problem # p007

Planar motion of a rigid body under influence of 2 forces

The body shown below has a mass m=10 kg and a polar moment of inertia with respect to its center of gravity of = 20 kgm2. The body is acted upon by two forces, and , as given below. Both forces are acting in the plane of the paper.
In the figure the point G indicates the center of mass of the body with its location as given by as specified below.
      = ( 100 , 150 , 0 ) [N]
= ( 100 , 100 , 0 ) [N]
= ( 2 , 1 , 0 ) [m]
= ( 3 , 2 , 0 ) [m]
= ( 2 , 2 , 0 ) [m]


  1. Determine the x- and y-component of the acceleration of the center of gravity of the body.

  2. Determine the angular acceleration of the body.