Question

Problem: (2 Parts) Below we show a simplified model of a person's leg in cast that is pulled up by a sling. The leg and cast together is the system that is modeled as a rigid beam of mass m = 28.0 kg and length L = 0.80 m that is attached to the body at a hinge at point A. The leg and cast are lifted by the sling that exerts a vertical force of magnitude, F which is applied at a distance, d= 0.56 m from the 'hinge', to hold the leg at an angle 0 = 80° above the horizontal. Magnitude of acceleration due to gravity is g = 10 m/s2 | 6 pt Part A: What is the magnitude of the vertical force, F that is required to maintain the leg in this position? 19.AO 280.00 N BO 200.00 N CO 275.75 N DO 48.62 N EO 140.00 N

Answer 1

19. B 200 N

20. C. ( 0,0,-18.47) rad/s2.

Đ= 80° JOY Free body diagram- Fose. 1 Te Omg (a.) o mgcose since leg is stationary - {2=0 fcose.d - mg cose x = 0 COSB ( F.d - mg. ) = 0 Foment - 2M (bis z=1& In moment of inertia. do angular acceleration. T= mr²2 28 X10 X 0.80 - 200N This gives - 0 : 10 X0.1736 d: 0.40 = 434 rad/s² in coordinakee 63.34) = -18.47 rad/s?.