Question

How to find the acceleration of a 20 kg block, going down and to the left (Ф= 37°)

connected, by a pulley, to a 10 kg block accelerating up ?

Theres no friction at all and the pulley is light

Answer 1

You need to start by considering what forces are on the 20kg block. The 20kg block will have a tension force as well as a gravitational force that are antiparallel to each other. There is also a normal force, but we will not need to consider this since friction is negligible. The equation will be:
`m_1a_1 = T - m_1g\cos\phi`, where
`m_1 = 20kg`. From this equation, you can find the expression for acceleration (
`a_1`) by dividing by the mass.