Answer:
The applied force is 69.28 N.
Explanation:
Given that,
Distance = 30 cm
Force = 60 N
Distance = 0.30 m
We need to calculate the torque to loosen the bolt
Using formula of torque
[tex]\tau=F\times d[/tex]
Where, F = force
d = distance
Put the value into the formula
[tex]\tau=60\times0.30[/tex]
[tex]\tau=18\ N-m[/tex]
We need to calculate the force
To get the same torque with a force applied at 30 degree
Using formula of torque again
[tex]18=F\times0.30\times\cos30^{\circ}[/tex]
[tex]F=\dfrac{18}{0.30\times\cos30^{\circ}}[/tex]
[tex]F=69.28\ N[/tex]
Hence, The applied force is 69.28 N.