Question: 1
Find the moment of force of 20 N about an axis of rotation at a distance of 0.5 m from
the force.
Solution:
Given:
Force, F = 20 N
Distance d = 0.5 m
Formula:
Moment of Force (τ) = Force (F) × Distance (d)
Substitution:
τ = 20 × 0.5 = 10
Final Answer:
Moment of force, τ = 10 N·m
Question: 2
The moment of a force of 25 N about a point is 2.5 N·m. Find the perpendicular distance
of the force from that point.
Solution:
Given:
Moment of force, τ = 2.5 N·m
Force, F = 25 N
Perpendicular distance, d = ?
Formula:
τ= F x d
Rearrange Formula: d = τ / F
Substitution:
, d = 2. = 0.1 m
Conversion:
1 m = 100 cm
0.1 m × 100 = 10 cm
Final Answer:
Perpendicular distance = 10 cm
Question: 3
A spanner of length 10 cm is used to unscrew a nut by applying a minimum force of 5.0
N. Calculate the moment of force required.
Solution:
Given:
Length of spanner, d = 10 cm
Force applied, F = 5.0 N
Moment of force, τ = ?
Convert to meter:
10 cm = 0.1 m
Formula :
Moment of Force = Force x Distance
τ=Fxd
Substitution:
τ = 5 x 0.1 = 0.5 N m
Final Answer:
Moment of force = 0.5 N m