### Pulleys Problems

Some dynamics SAT Physics exam questions require knowledge of pulley problems.

1. Two blocks of masses m and M slide to the left with a constant speed v as shown in the figure below. Which of the following relations must be true?a) M·cosα = m·cosβ

b) M·sinα = m·sinβ

c) M·cosβ = m·cosα

d) M = m

e) M·sinβ = m·sinα

2. The figure below represents a pulley system where masses m = 5kg and M = 10kg are connected by a rope over a massless and frictionless pulley. If the system moves with an acceleration of 1m/s

^{2}, what is the value of the coefficient of kinetic friction between the block of mass M and the table?

a) .2

b) .35

c) .45

d) .5

e) .75