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In the Figure, a block mi sits on a table. There is static friction between bloc

ID: 1581098 • Letter: I

Question

In the Figure, a block mi sits on a table. There is static friction between block and table. Block m2 hangs from a knot, as shown. Call the tension in the rope connecting the knot to mi, "T1". Call the tension in the rope connecting the knot to m2, "T2". Call the tension in the third rope (the one tipped up by an angle theta, connecting the knot to the wall), "T3". The system is in equilibrium. Which of the following statements are true? (If A and E are true, and the others are not, enter TFFFT) m2 A) The net force on the knot is upwards. B) The tension T2 is smaller than m2 g C) T3 is larger in magnitude than T:1 D) If the table was completely frictionless, the system as shown could not be in equilibrum E) The force of static friction on ml is greater than TI Answer: Submit All Answers Last Answer: TTTTT Not yet correct, tries 4/6 13.[1pt] In the previous problem, block mi weighs 743 N. The coefficient of static friction between the block and the table is 0.24 and the angle theta is 29.3°. Find the maximum weight of block m2 for which block mi will remain at rest.

Explanation / Answer


FFTTF

In equilibrium net force = 0

for m2

T2 - W2 = 0


T2 = W


for mass m1


T1 - f = 0

T1 = u*W1


for the knot


along horizontal

T3*costheta - T1 = 0

T3*costheta = u*W1


T3 = u*W1/costheta


along vertical

Fnet = 0

T3*sintheta - T2 = 0


u*W1*sintheta/costheta = T2 = W2


W2 = us*W1*tantheta

W2 = 0.24*743*tan29.3


W2 = 100 N <<<--------ANSWER