Friction between any two surfaces in contact is the force that opposes the relative motion between them The force of limiting friction (F) between any two surfaces in contact is directly proportional to the normal reaction (R) between them `F prop R` or `F = mu R` where `mu` is coefficient of limiting friction If `theta` is angle of friction then `mu = tan theta`
The angle of friction in the above question is .

Options

A. `34^(@)26'`
B. `30^(@)`
C. `26^(@) 34'`
D. `45^(@)`

Explanation

To find the angle of friction \( \theta \) given the coefficient of friction \( \mu \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between coefficient of friction and angle of friction**:
The relationship is given by:
\[ \mu = \tan(\theta) \]
where \( \mu \) is the coefficient of limiting friction and \( \theta \) is the angle of friction.

2. **Identify the given value of the coefficient of friction**:
From the previous part of the question, we found that the coefficient of friction \( \mu \) is \( 0.5 \).

3. **Set up the equation using the relationship**:
Substitute the value of \( \mu \) into the equation:
\[ 0.5 = \tan(\theta) \]

4. **Solve for \( \theta \)**:
To find \( \theta \), we take the arctangent (inverse tangent) of both sides:
\[ \theta = \tan^{-1}(0.5) \]

5. **Calculate \( \theta \)**:
Using a calculator or trigonometric tables, we find:
\[ \theta \approx 26.57^\circ \]
This can also be expressed in degrees and minutes:
\[ \theta \approx 26^\circ 34' \]

### Final Answer:
The angle of friction \( \theta \) is approximately \( 26^\circ 34' \).