The image above represents reaction: lift moves up.
To compute for reaction: lift moves up, 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 up:
R = m(a + g)
Where;
R = Reaction
m = Mass
g = acceleration due to gravity
a = Acceleration
Let’s solve an example;
Find the reaction when the mass is 18, acceleration is 21 and acceleration due to gravity is 9.8.
This implies that;
m = Mass = 18
g = acceleration due to gravity = 21
a = Acceleration = 9.8
R = m(a + g)
R = 18(21 + 9.8)
R = 18(30.8)
R = 554.4
Therefore, the reaction is 554.4 N.
Calculating the Mass when the Reaction, the Acceleration and the Acceleration due to Gravity is Given.
m = R / a + g
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 21 and the acceleration due to gravity is 9.8
This implies that;
R = Reaction = 42
g = acceleration due to gravity = 9.8
a = Acceleration = 21
m = R / a + g
m = 42 / 21 + 9.8
m = 42 / 30.8
m = 1.36
Therefore, the mass is 1.36.