In the Figure, a block m 1 sits on a table. There is static friction between blo
ID: 1334475 • Letter: I
Question
In the Figure, a block m1 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 m1, "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?
A) The tension T2 is larger than m2 g
B) T3 is larger in magnitude than T1
C) The net force on the knot is upwards.
D) The force of static friction on m1 equals T1
E) If the table was completely frictionless, the system as shown could still be in equilibrum.
Explanation / Answer
T2 = m2g
so statement A is False.
In horizontal,
T3cos@ = T1
T3 = T1 / cos@
cos@ is always less then 1.
so T3 > T1.
Statement B is true.
knot is in equilibrium. so Net force on knot = 0
Statement c is false.
on block m1.
f = T1
Statement D is true.
If table was frictionless, then f = 0
so T1 =0
thus there is no force to maintin equilibrium in horizontal direction against
T3's horizontal component force.
statemnet E is false/