Two blocks are connected by a string of negligible mass passing over a frictionl
ID: 2134897 • Letter: T
Question
Two blocks are connected by a string of negligible mass passing over a frictionless pulley. Block 1, m1 = 39 kg is on a horizontal surface and is connected to block 2, m2 = 15.0 kg, which hangs vertically off the pulley. The The coefficient of kinetic friction between m1 and the horizontal surface is 0.26. (Assume gravity acts toward the +y direction and the +x-axis is parallel to the surface and to the right.)
(a)What is the acceleration of the hanging mass? (b) Determine the tension in the cord. (Indicate the direction with the sign of your answer.)
please show work or an example
Explanation / Answer
a) T - 0.26 x 39g = 39a
15g - T = 15a
add them
15g - 0.26 x 39g = (39 + 15)a
a = 0.882 m/s2 donwards
so a = - 0.882 m/s2
b) 15g - T = 15 x 0.882
T = 15 x (9.8 + 0.882) = 160.23 N