Question

plank plenk ----> 1. [1pt] A professor of mass m= 80 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 m lank = 20 kg which is supported by a hinge at the wall. A mass M in a light bucket is suspended from the right end of the plank. The professor is a distance ( = 2.10 m from the hinge; the plank has length L = 4.60 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 concept of static equilibrium can be used to calculate the tension in the rope. ii. If the plank remains horizontal, the force of the professor on the plank is equal to the tension in the rope. iii. If M = 0, the professor and the plank are always in static equilibrium, for the values given above. iv. The lines of action of all the forces that create torques on the plank about the hinge are all parallel to the vertical. v. If M> 0, the right end of the plank will accelerate downward for some values of M. 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

first of all draw for the situation, the comesponding to FBD for Plankin za loski mo here, ma mass of professor - Ma mass of flank from FBI) the expression for the torque will be T(L) - N(Q) - Mg (L) = (mag) L oi Draw the FBD for Profisson ? To mg -N - Ý N 1 Tm =

زاي ضدالله طي ايام img=][b) (AJLA). - Mglle)-(ma) 20 -{m?- M = M; 792 Ite Expression for the feasibe will be I - mg= [m=M- Medlem __

Ta ngalt (m + Me Logo and FL I - (2019:0) 62.10) +10+ 20 ) (4.60x90) (2.10+4.60 - 313-014 N N = {m-M - Mp764) <so - Lot to look contact, in order N=0

_ME м — Mp - 00 – 20 м) - 10 k —

dear bloke,

I didn't post part a as i really did not reach to the satisfactory answer after giving an hour to it. Sorry and apologize for not posting. Please rate my part b and c

Thanks and have your good time during semester.