Question

A student tries to unscrew a bolt with a spanner with 25 cm long. Thelargest force that he is able to apply is 100 N, while the minimummoment required to unscrew the nut is 30 N m. Can he unscrew the nut?

Answer 1

No, he cannot

Step-by-step explanation

First, let us draw a sketch of the problem:

For him to be able to unscrew the nut, the moment of the largest force he can apply must be greater than the minimum moment required to unscrew the nut.

To find the moment of the force, we apply the formula:

`M=F\cdot d`

where F = force applied = 100 N;

d = distance between effort and bolt i.e. the length of the spanner = 25 cm = 0.25 m

Therefore, we have that the moment of the force is:

`\begin{gathered} M=100\cdot0.25 \\ M=25Nm \end{gathered}`

Since the largest moment is 25Nm, and the minimum moment required to unscrew the nut is 30Nm, he cannot unscrew the nut.

The answer is NO.