In the Figure, a block m 1 sits on a table. There is static friction between blo
ID: 1383763 • 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 853 N. The coefficient of static friction between the block and the table is 0.26 and the angle theta is 25.0o. Find the maximum weight of block m2 for which block m1 will remain at rest?
Explanation / Answer
From Newton's 2nd law, write equations for the forces acting horizontally on block 1, vertically on block 2, and vertically and horizontally around the "knot" (point of intersection of all the cords). Since the system is in equilibrium, all the equations will be set equal to zero. Call the block on the table w? and the hanging block w?, the tension in the cord connected to w?, T?, connected to the hanging block T?, and in the angled cord T. The horizontal forces on w? are :
?F = 0 = T? -