The image above represents reaction: lift moves down.
To compute for reaction: lift moves down, three essential parameters are needed and these parameters are mass (m), acceleration (a) and acceleration due to gravity (g).
The formula for calculating reaction: lift moves down:
R = m(g – a)
Where;
R = Reaction
m = Mass
g = acceleration due to gravity
a = Acceleration
Let’s solve an example;
Find the reaction when the mass is 28, acceleration is 9 and acceleration due to gravity is 9.8.
This implies that;
m = Mass = 28
g = acceleration due to gravity = 9.8
a = Acceleration = 9
R = m(g – a)
R = 28(9.8 – 9)
R = 28(0.80)
R = 22.4
Therefore, the reaction is 22.4 N.
Calculating the Mass when the Reaction, the Acceleration and the Acceleration due to Gravity is Given.
m = R / g – a
Where;
m = Mass
R = Reaction
g = acceleration due to gravity
a = Acceleration
Let’s solve an example;
Find the mass when the reaction is 42, the acceleration is 8 and the acceleration due to gravity is 9.8
This implies that;
R = Reaction = 42
g = acceleration due to gravity = 9.8
a = Acceleration = 8
m = R / g – a
m = 42 / 9.8 + 8
m = 42 / 17.8
m = 2.359
Therefore, the mass is 2.359.