The angle of friction between two surface in contact is `60^(@)` What is the cofficient of friction between them .

Options

A. `sqrt3`
B. `(1)/sqrt3`
C. `0`
D. `1`

Explanation

To find the coefficient of friction (μ) given the angle of friction (θ) is 60 degrees, we can use the relationship between the angle of friction and the coefficient of friction. The formula is:

\[ \mu = \tan(\theta) \]

### Step-by-Step Solution:

1. **Identify the angle of friction**:
We are given that the angle of friction (θ) is \(60^\circ\).

2. **Use the relationship between angle of friction and coefficient of friction**:
The coefficient of friction (μ) can be calculated using the tangent of the angle of friction:
\[ \mu = \tan(θ) \]

3. **Calculate the tangent of the angle**:
Substitute the angle into the formula:
\[ \mu = \tan(60^\circ) \]

4. **Find the value of \(\tan(60^\circ)\)**:
We know that:
\[ \tan(60^\circ) = \sqrt{3} \]

5. **Conclude the value of the coefficient of friction**:
Therefore, the coefficient of friction (μ) is:
\[ \mu = \sqrt{3} \]

### Final Answer:
The coefficient of friction between the two surfaces is \(\sqrt{3}\).

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