1. 360 N
Explanation:
The torque is given by:
[tex]M = Fd[/tex]
where
F is the force exerted
d is the distance between the point of application of the force and the centre of rotation
In this problem, we know:
M = 108 Nm is the torque
d = 30.0 cm = 0.30 m is the distance
So, we can re-arrange the equation to find the force exerted:
[tex]F=\frac{M}{d}=\frac{108 Nm}{0.30 m}=360 N[/tex]
2. 180 N
Explanation:
We can use the same formula used for the 1st part of the problem, but this time we have:
M = 108 Nm is the torque
d = 60.0 cm = 0.60 m is the distance
so, the force needed to be exerted is
[tex]F=\frac{M}{d}=\frac{108 Nm}{0.60 m}=180 N[/tex]
