In the Figure, a block m 1 sits on a table. There is static friction between blo
ID: 1356296 • 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. Block m1 weighs 754 N. The coefficient of static friction between the block and the table is 0.28 and the angle theta is 31.7o. Find the maximum weight of block m2 for which block m1 will remain at rest.
ml m2Explanation / Answer
Total upward force = downward force
T 3 sin theta = m2g
left ward force on m1 is equal to that on right
F = T3 cos theta
u_s m1g = T3 cos theta
u_s m1g = (m2 g/ sin theta) cos theta
m2 = u_s m1 tan theta
=0.28 ( 754/9.8) tan31.7
=13.3 kg