Answer:
16.34 Nm
Explanation:
Moment: The moment of a force is the product of force and it perpendicular distance. The S.I unit of moment is Nm.
From the diagram,
M = F'd.................... Equation 1
Where m = moment of the force about O, F' = Perpendicular force on the handle, distance, d = distance
Also,
F' = (Fcosα)cosФ.................... Equation 2
Where F = force applied to the handle
Substitute equation 2 into equation 1
M = FcosαcosФ×d.................. Equation 2
Given: F = 120 N, α = 15°, Ф = 20°, d = 150 mm = 0.15 m
Substitute into equation 2
M = 120cos15°cos20°×0.15
M = 120(0.9659)(0.9397)(0.15)
M = 16.34 Nm.
