If an object just begins to slide on a surface inclined at 30o to the horizontal,the coefficient of friction is

Answer Details

When an object just begins to slide on a surface inclined at an angle of 30 degrees to the horizontal, the coefficient of friction can be determined using trigonometry. The coefficient of friction is defined as the ratio of the force required to start sliding the object to the normal force (the force perpendicular to the surface). In this case, the force required to start sliding the object is equal to the product of the normal force and the coefficient of friction multiplied by the sine of the angle of inclination. The normal force is equal to the weight of the object multiplied by the cosine of the angle of inclination. Solving this equation with the given angle of inclination and assuming that the object is not accelerating, we get the coefficient of friction to be 1/√3. Therefore, the correct answer is 1/√3.