a) Answer true or false to the statements below; e.g., if the first one is true
ID: 1468756 • Letter: A
Question
a)
Answer true or false to the statements below; e.g., if the first one is true and the rest are false, enter TFFFF.
1)If the plank remains horizontal, the force of the professor on the plank is equal to the professor's weight minus the tension in the rope.
2)If M > 0, the plank cannot remain horizontal.
3)If M = 0 and the plank remains horizontal, the tension in the rope does not depend on the ratio of ? to L.
4)The lines of action of all the forces that create torques on the plank about the hinge are all parallel to the vertical.
5)If the right end of the plank accelerates slowly downward, the tension in the rope T > mg.
b)
For the values given above, find the tension in the rope if M is zero.
c)
What is the minimum value of M needed to make the professor just lose contact with the plank?
M p k a nExplanation / Answer
(1) Let N be the normal reaction (force of professor on the plank). Since professor remains seated, considering the left portion of the rope, the tension in rope is balanced by the upward normal reaction and downward weight of professor
so, N = T - W
TRUE
(2) TRUE, as there will be net moment acting about the hinge, so plank can not stay horizontal.
(3) TRUE, it will only depend upon the weight of the professor and the normal reaction.
(4) TRUE
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