A block of mass m1 = 3.08 kg on a friction less plane inclined at angle θ = 32.3° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.51 kg hanging vertically (see the figure). (a) What is the acceleration of the hanging block (choose the positive direction down)? (b) What is the tension in the cord?

1 answer

F = 2.51 (9.81) - 3.08 (9.81) sin 32.3
= 8.48 N

a = F/m = 8.48/(2.51+3.08)

2.51(9.81) - T = 2.51 a