To find the minimum force required to pull up the step, we need to consider the gravitational force acting on the roller and the force required to overcome the vertical component of the step.
Let's break down the problem step-by-step:
Step 1: Calculate the weight of the roller
The weight of an object is given by the formula: Weight = mass × acceleration due to gravity (g).
Given:
Mass of the roller (m) = 450 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Weight of the roller (W) = m × g
W = 450 kg × 9.8 m/s^2
Step 2: Calculate the vertical component of the step
The vertical component of the step is given by: Vertical component = step height × sin(angle)
Given:
Step height = 250 mm = 0.25 m
Angle (θ) = 30°
Vertical component (V) = 0.25 m × sin(30°)
Step 3: Calculate the minimum force required to pull up the step
The minimum force required can be found using the equation: Force = Weight + Vertical component
Force = W + V
Substitute the values from Step 1 and Step 2 into the equation:
Force = (450 kg × 9.8 m/s^2) + (0.25 m × sin(30°))
Now you can calculate the minimum force required to pull up the step.