Question

te of - - - - - - - - 1. [1pt] A professor of mass m= 56 kg is seated on a light harness connected to a rope and pulley system as shown. The professor's feet touch a uniform plank of mass mplank = 10 kg which is supported by a hinge at the wall. A mass Min a light bucket is suspended from the right end of the plank. The professor is a distance { = 2.00 m from the hinge; the plank has length L = 4.80 m. Answer true or false to the statements below; e.g., if the first one is true and the rest are false, enter TFFFF. i. If the plank remains horizontal, the magnitude of the force of the plank on the professor is equal to the magnitude of the force of the professor on the plank. ii. The lines of action of all the forces that create torques on the plank about the hinge are all parallel to the vertical. 11i. If the plank remains horizontal, the tension in the rope I smg. iv. If M>0. the right end of the plank will accelerate downward for some values of M. v. If M = 0 and the plank remains horizontal, the tension in the rope does not depend on the ratio of l to L. Answer: Submit All Answers 2. [1pt] For the values given above, find the tension in the rope if Mis zero. Answer: Submit All Answers 3. [1pt] What is the minimum value of Mneeded to make the professor just lose contact with the plank? Answer: Submit All Answers

Answer 1

Giren mass n = 56kg mprance - 10kg distance l-am plank length 1=4.8m for 11 FFF FF in rope it mad To find tension (2) - here 1:0 ost Te-wettl - wp 2 5 = Gowing) T WE + up etc + 10 X 4-8 X 48 S6 X 2 X 48 2+48 = 230.56 N (3) to find mininnum verre 8 H TL - Mgi - wp 2/2 = 0 (1 - mg -up)!0 T-ng-Wp =0 - Mg = What

= $6x98 -(10198) (Tswing) 9.8 = 56XS-S - (59-8) 4.8 - sing