m2, 12 muri Axis of rotation m h M (a) (b) = A builder is lifting a mass M = 50 Kg, by using another mass m = - 15 Kg an
Posted: Mon May 09, 2022 1:39 pm
m2, 12 muri Axis of rotation m h M (a) (b) = A builder is lifting a mass M = 50 Kg, by using another mass m = - 15 Kg and a pulley, as shown in figure (a). The ropes connecting the masses to the pulley can be considered ideal (massless and non-stretchable). Also, friction can be neglected. The pulley can be thought as composed of two connected rigid discs of masses mi 2.0 Kg, m2 = 5.0 Kg, and radia rı 10 cm, r2 = 50 cm, respectively, as in figure (b). = i. Calculate the moment of inertia of the pulley respect to the axis of ro- tation; ii. Draw a free body diagrams for the pulley and the two masses. iii. Write the equations of motion which govern the translational and rota- tional dynamics of the masses and the pulley (that is the equations that relate the forces acting on the bodies with their accelerations) iv. Determine the angular acceleration of the pulley.